Answer:
3(x+4)=5x-9
or,3x+12=5x-9
or,12+9=5x-3x
or,21=2x
orx=21/2
x=10.5
The value of x from the given rectangle is 10.5 units.
The opposite sides of a rectangle are 3(x+4) and 5x-9.
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Now, the opposite sides of a rectangle are congruent
So, 3(x+4) = 5x-9
⇒ 3x+12=5x-9
⇒ 5x-3x=12+9
⇒ 2x=21
⇒ x=10.5 units
Therefore, the value of x from the given rectangle is 10.5 units.
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What feature in excel allows you to begin with a 1 in a1 and a 2 in a2 and complete the sequence through the number 30 in a30 without having to type in the entire sequence?
Answer:
type 1 in a1 type 2 in a2, (or whatever ur preferred no.s are),then heighlight both cells, then go to the bottom right corner of a2 and drag down or double click
Step-by-step explanation:
Drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.
What is excel?Excel is a software in which we can process large amount of data and data handling easily and effectively, Excel can be used in Data analysis.
in a1 type 1 Type 2 in cell a2 (or whatever your chosen numbers are), highlight both cells, and then drag down or double-click the bottom right corner of a2.
Thus, drag down or double-click the bottom right corner of a2 to begin with a 1 in a1 and a 2 in a2 and complete the sequence.
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Aramis showed the division of 6p2 9p 3 by 3p. a 3 b what are the values of a and b? a = 2p and b = p a = 3p and b = p a = and b = a = 2p and b =
A = 2p and B = 1/p are the values of a and b.
What does math division mean?
A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. Of course, in order to be fair, you should always pay each person the same amount.To divide this,
[tex]\frac{6p^{2} }{3p} = 2p[/tex]
Multiplying back through, we have
[tex]3p * 2p = 6p^{2}[/tex]
Subtracting this from the first term under the box, we have
[tex]6p^{2} - 6p^{2} = 0[/tex]
Bring down the next term, 9p.
See how many times 3p goes into 9p = 9p/3p = 3
Multiplying back through, we have 3(3p) = 9p.
Subtract this from the line above; 9p-9p = 0.
Bring down the last term, 3.
Since this is not 0, this is the remainder.
This gives us
2p + 3 R 3;
writing this as a rational expression, we have
2p + 3 + 3/3p
The remainder term 3/3p will simplify to 1/1p or 1/p;
this gives us
2p + 3 + 1/p
Therefore, the answer is A = 2p and B = 1/p
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Name:
1.
O
a) Is the graph linear?
b) What is the domain?
c) What is the range?
d) What are the x and y intercepts?
e) Does the graph have symmetry? Type?
f) What are the extrema and end behavior? 20 points
The Graph is not linear.
To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)
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• Liz fue a comprar un Kilo de Papas tres cuartos
de Kilo de tomate y medio Kils de aguacate Yob
Cuarto de kilo de cebolla ¿Cuantos Kilos Pesaba
toda la verdura que compro?
Liz went to the store to get a kilo of papas, three kilo tomatoes, and a half kilo of aguacate. Yob Cuarto de Kilo de Cebolla, How Many Kilograms Were All the Vegetables You Bought Weighed
2,40
Dejar:
T = Tomate
n = cebolla
(2 kilograms of t) plus 1 kilogram of n = 8.40
(1 kilogram plus 2 kilograms) equals 7.80.
2t + n = 8,40 - -
t + 2n = 7,80 - -
De (2);
t = 7,80 - 2n
Toggata = 7.80 - 2n en
2 (7,80 - 2n) + n = 8,40
15,6 - 4n + n = 8,40
15,6 - 3n = 8,40
-3n = 8,40 - 15,6
-3n = - 7,2
n = 2,4
t = 7,80 - 2
t = 7,80 - 4,80
t = 3
As a result, the price of 1 kg of celery is $2.40.
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Pls help my homework is due in 7mins
How many triangles exist with the given side lengths? 7 in, 7 in, 7 in A. No triangle exists with the given side lengths. B. Exactly one unique triangle exists with the given side lengths. C. More than one triangle exists with the given side lengths.How many triangles exist with the given side lengths? 7 in, 7 in, 7 in A. No triangle exists with the given side lengths. B. Exactly one unique triangle exists with the given side lengths. C. More than one triangle exists with the given side lengths.
Answer:
B. Exactly one unique triangle exists with the given side lengths
Step-by-step explanation:
A triangle has three sides. So if all three sides are the same in length then it is a equilateral triangle. Which means that only one triangle can be formed.
I hope this helps!! Have a good day :D
Type the expression that results from the following series of steps:
Start with
n
, add 5, multiply by 4, then subtract 7.
Answer:
n + 5 x 4 - 7
Step-by-step explanation:
Answer:
4(n+)7
Step-by-step explanation:
n+5
(n+5) x 4 = 4 ( n + 5)
4( n+5)-7
Jenna works in an ice cream shop. When she starts her shift, the tub of chocolate ice cream is 23 full. When she finishes her shift 612 hours later, there is only 16 of the tub left. What was the average hourly change in tub fullness?
The average hourly change in tub fullness is ₋1/13.
Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.
After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.
the average hourly change in tub fullness = ?
subtract the initial quantity from the quantity left after 6 1/2 hours.
⇒ 2/3 ₋ 1/6
= 1/2
Divide the quantity by 6 1/2 hours.
time is represented in improper fraction, convert it into proper fraction.
6 1/2 = 12 ₊ 1/2
= 13/2
⇒ 1/2 ÷ 13/2
= 1/13
the statement says the quantity decreases,
so ₋1/13
therefore the average hourly change in tub fullness is ₋1/13
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The equation for line c can be written as y= – 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?
Answer: [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]
This is the same as writing y = (7/3)x - 2/3
=======================================================
Explanation:
The given equation is in y = mx+b form
m = -3/7 = slope
b = 4 = y intercept
Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3
The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.
We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]
We'll use the point-slope form to get...
[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]
This equation has a slope of 7/3 and y intercept of -2/3.
The function f(x) = -x³-7x2²-7x+15 has zeros located at-5, -3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
Step-by-step explanation:
[tex]f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0[/tex]
Multiply both parts of the equation by -1:
[tex]x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1[/tex]
If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of
The value of the variable x is found to be x = 9.
What is termed as angle bisector?In geometry, an angle bisector is a line that divides an angle into two equal angles. A bisector is something that divides a shape or thing into two equal portions. An angle bisector is a ray that divides an angle into two equal components of the same measurement.A bisected angle divides the two sides in equals.
JKM = LKM
As, both are equal.
Then, each of these angles are 1/2 the angle JKL.
1/2 JKL = MKL
1/2 ×( 92) = 5x + 1
Further simplifying;
46 = 5x+1
Subtract 1 from each side
46-1 = 5x
45 = 5x
Divide each side by 5
45/5 = 5x/5
x = 9
Thus, the value of the unknown variable is found to be x = 9 units.
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rewrite the following statements less formally, without using variables. determine, as best as you can, whether the statements are true or false
All of the statements are True when the expressions are evaluated using appropriate illustrations.
What are Real numbers?Real numbers are made up of both rational and irrational numbers. Real numbers include integers (-2, 0, 1), fractions (1/2, 2.5), and irrational numbers such as 3, (22/7), and so on.STATEMENT: 1
Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.
As a result, the statement is correct.
[tex]1+\frac{1}{2}=1 \frac{1}{2}[/tex]
STATEMENT: 2
Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.
2² = 4; (1/3)² = 1/9STATEMENT: 3
All positive integers have a squared value that is greater than or equal to the value.
n = 2; n² = 2² = 44 > 2STATEMENT: 4
A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.
a = 3 ; b = - 4|a + b | = |3-4| ≤ |-3|+|4||-1| ≤ 3 + 4-1 ≤ 7Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.
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The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.
a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.
d. For all real numbers a and b,|a+b|≤|a|+|b|
Find the solution to the system: -5/7-11/7x=-y and 7+5x=2y
The solution to the system of equation is x = 1 / 5 and y = 4
How to solve system of equation?The system of equation can be solved as follows:
- 5 / 7 - 11 / 7 x = - y
7 + 5x = 2y
let's rearrange the equations
Therefore,
- 11 / 7 x + y = 5 / 7
5x - 2y = -7
Let's multiply equation(i) by 7 to eliminate the fractions
Hence,
-11x + 7y = 5
5x - 2y = -7
Therefore, using substitution method
5x = -7 + 2y
x = -7 / 5 + 2 / 5 y
Hence,
-11(-7 / 5 + 2 / 5 y) + 7y = 5
77 / 5 - 22 / 5 y + 7y = 5
- 22 / 5 y + 7y = 5 - 77 / 5
-22y + 35y / 5 = 25 - 77 / 5
13y / 5 = -52 / 5
cross multiply
65y = -260
y = -260 / 65
y = 4
Hence,
5x - 2(4) = -7
5x - 8 = -7
5x = -7 + 8
x = 1 / 5
Therefore, the solution to the system of equation is x = 1 / 5 and y = 4
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if ABCD is dilated by a factor of 2 the coordinate of C’ would be
Cordniate of c would be (-11,-1).
by a factor of one half the cornet of C would be what? So let's list the coordinates of A. B. C. D. First. So a is at -4 -2. And B is at negative to positive too. C is at 2:04 and D is at two negative two. Okay. So if I'm going to dilate by a scale factor of one half, that means I'm going to divide everything by two. So a prime would be negative two comma negative one. So negative two negative one. Oops. Would be a prime. You erased that at the dot that I did. And then be prime would be at negative one comma one. So be prime would be at negative one, comma one. See prime Would be at 1:02 one comma two. And d prime would be at one comma negative 11 comma negative one
So therefore the cordinates of C would be (-11,-1)
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Using your ruler to measure, draw segment EF so that it bisects RS shown below. Mark their intersection
as point A. Mark all relevant measures to justify your answer.
Using the segment addition postulate and the bisection concept, the segment EF bisecting RS is given at the end of the answer.
What is the segment addition postulate?The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.
From this, the bisection concept is derived, which is when a line crosses a segment exactly at the segment's midpoint, meaning that point A is the midpoint of RS.
The illustration of this situation is given at the end of the answer.
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me is needing help ok
Answer:
50.96 days can be rounded to 51
73381
1223
51
Step-by-step explanation:
Too bad I can't see the choices. I will give the numbers both as exact figures rounded to integers and you have to choose the closest to these.
Part A
50.96 days
Part B
6.6043 x 10⁵ gallons at 9 gallons per minute = (6.6043 x 10⁵)/9 = 660,430/9 = 73,381.11 gallons per minute rounded to 73,381 minutes
73,381 minutes = 73,381 /60 = 1223.02 hours 1223 hours
1223 hours = 1223/24 = 50.96 days rounded to 51 days
Hope that helps. Ask if you need further info
Statistics on women in politics highlight that women - who make up over 50 percent of the u.s. population - are ________ in high government positions.
Statistics on women in politics highlight that woman - who make up over 50 percent of the U.S. population - are substantially lag in high government positions.
In U.S. the population of Women are 50.8 percent. Approximately, 60 percent of women have their undergraduate degree, and 60 percent of women have their master's degree. They are very well educated. They earn almost 60 percent of law degrees.
But, when it comes to representation in high government positions, they substantially lag behind men. There are only 14.6 percent of executive officers, they hold only 24.2 percent of state legislative seats. They hold only 18.5 percent of congressional seats, and they are just 20 percent of U.S. senators.
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Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.
The function is 4|x-4|.
It is required to find the function g.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The original function is:
f(x)=|x|
Translation 4 units to the right we get,
f(x-4)=|x-4|
Horizontal stretch by a factor of 4
Multiplying by 4, so:
g(x)=4f(x-4)=4|x-4|
Therefore, the function is 4|x-4|.
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PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG
A scientist uses a submarine to study ocean life.
She begins 174 feet below sea level.
After traveling down for 15 seconds, she's 252 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. Round your answer to the nearest tenth.
The rate of change in the submarine's elevation in feet per second is 5.2
According to the question ,
She starts 174 feet below sea level
after 15 minutes she reaches 252 feet below sea level
distance travel in 15 minutes = [tex]\frac{252 - 174}{15}[/tex]
= [tex]\frac{78}{15}[/tex]
= [tex]\frac{26}{5}[/tex]
Round off [tex]\frac{26}{5}[/tex] = 5.2
There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.
Here some Rounding Examples :
Consider the number 8.9163
8.9163 rounded to the nearest tenth is 8.9
Because 9 is followed by 1 and 1 is less than 5.
8.9163 rounded to the nearest hundredth is 8.92
Because 1 is followed by 6 and 6 is greater than 5.
8.9163 rounded to the nearest thousandth is 8.916
Because 6 is followed by 3 and 3 is less than 5.
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An olympic swim the 200 m freestyle at a speed of 1.8 m/s. an olympic runner run the 200 m dash and 21.3 seconds how much faster was the runners speed in the swimmer speed to the nearest 10th of the meter per second?
Answer: 7.6
Step-by-step explanation:
the 5th term of an A.P is 9 and the 8th term is 27.Find the 31st term
Answer:
189
Step-by-step explanation:
The difference between consecutive terms of an arithmetic sequence, known as the common difference is given by
d = a(k) - a(k-1) where k = 1,2,3 ....n
We have the 5th term as a(5) = 9
The 6th term is 9 + d
The 7th term is 9 + 2d
The 8th term is 9 + 3d
Each successive term adds a d to the previous term
We have 8th term = 27
So 9 + 3d = 27
3d = 27 - 9 (subtract 9 from both sides)
3d = 18
Divide above by 3 on both sides to get
d = 18/3 = 6
So the common difference is 6
Let's figure out how to calculate the 31st term
We can see that the 5th term can be expressed as
9 + 0d = 9 + 0.6 = 9
The sixth term is
9 + 1d = 9 + 1(6) = 9 + 6 = 15
The seventh term is 9 + 2d = 9 + 12 = 21 and so on
Therefore the general equation for the nth term, given the 5th term
is
a(n) = a(5) + (n - 5)(6) 9 + 6(n - 5)
So the 31st term is
a(31) = 9 + 6(31-1) 9 + 6 x 30 = 9 + 180 = 189
Answer: 31st term is 189
If the probability that it will rain tomorrow is 1/5, what Is the probability that it will not rain tomorrow ?
• 4/5
• 3/5
• 2/5
• 2/10
Answer:
4/5
Step-by-step explanation:
because 1/5 + 4/5 = 1
Help I need some help due tomorrow
Answer:
Angle 1: 141 degrees
Angle 2: 39 degrees
Angle 3: 141 degrees
Step-by-step explanation:
Angle 2 and Angle 4 are equal since they are vertical angles. This means that Angle 2 is equal to 39 degrees.
Angle 1 and Angle 4 add up to 180 degrees. We call these supplementary angles. This means that Angle 1 is equal to 180-39=141 degrees.
Angle 1 and Angle 3 are vertical angles, so Angle 3 is also equal to 141 degrees.
Need help asap
will give u brainliest
Answer and how to solve this
Step-by-step explanation:
When it says x = something, that basically means to replace the x with whatever it says x equals.
x = 0. Equation /. 3 x 0 = 0 + 1 = 1. Y = 1
x = -1. Equation/. 3 x -1 = -3 + 1 = -2. Y = -2
x = 2. Equation/. 3 x 2 = 6 + 1 = 7. Y = 7
Hope this helps!! (:
I really need help in this question
The height of the isosceles triangle is 8.08 cm.
Given the sides of the triangle are:
a = 9 cm (one side of the triangle)
b = 8 cm ( base of the triangle)
Therefore, height of the triangle =?
An isosceles triangle's height is determined by measuring perpendicularly from one vertex to the other's triangle base. A triangle's height is one of its crucial parameters since it enables us to determine the triangle's area.
we know that h = √a²₋ b²/4
substitute a and b values in the above formula, to find height:
h = √9² ₋ 8²/4
h = √81 ₋ 64/4
h = √(81 × 4) ₋ 64 / 4
h = √324 ₋ 64/4
h = √260/4
h = √65
h= 8.06 cm
Therefore the height of the isosceles triangle is 8.06 cm.
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The function y=x+3 is what type of function?
1. linear
2. quadratic
3. cubic
4. rational
5. radical
Answer: the type of function is linear.
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Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.
In triangle TRS, VZ = 6 inches. What is RZ?
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The centroid Z of the triangle TRS. Line sections TW, RV, and SU are created by drawing lines from every point to the center of the opposing side.
We know that the centroid divides the median of the triangle in a ratio of 2: 1.
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be
RZ / ZV = 2 / 1
RZ / 6 = 2
RZ = 6 x 2
RZ = 12 inches
In triangle TRS, VZ = 6 inches. Then the length of the line segment RZ will be 12 inches.
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For each complex number z, find arg z
z = 4/5 + 3/5i
The argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
Complex number:
A complex number is a result of adding a real and an imaginary number. A complex number has the formula a + ib and is usually represented by the symbol z. Both a and b are real numbers in this case. The value 'a' is known as the real part, which is denoted by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.
Argument:
A complex number is represented in polar form by the equation r(cos[tex]\theta[/tex] +isin[tex]\theta[/tex]), where [tex]\theta[/tex] is the argument. Arg(z) denotes the argument function, where z is the complex number, i.e. z = x + iy. The complex argument can be determined by the following formula:
arg (z) = arg (x+iy) = [tex]tan^{-1}[/tex](y/x)
Here the given complex number is ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )
arg (z) = arg ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )= [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
Therefore,the argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
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