Answer:
A set is well-defined so that we can always tell what is and what is not a member of the set
Look at the diagram and evaluate. Which of the statements below is TRUE?
A). EH < EF
B). F is the midpoint of EG
C). GH< EF
D). FH> EG
The correct statement regarding the segments on the number line is:
C). GH< EF
Why the third statement is correct?For the first statement, the lengths are EH = 19 - 6 = 13 and EF = 11 - 6 = 5, hence EF < EH.For the second statement, we have that EF = 5 and EG = 9, since 5 is not the half of 9, it is not the midpoint.For the third statement, GH = 19 - 15 = 4 < EF = 5, hence it is the correct statement.For the fourth statement, EG = 9 > FH = 8, hence it is also not correct.More can be learned about segments at https://brainly.com/question/18315903
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What is the transformation in the function y=x^2+10?
A. up 10
B. down 10
C. right 10
D. Left 10
Answer: Left 10 Units
Step-by-step explanation: hope this helps
The length of a rectangle is four meters less than twice its width. If the perimeter of the rectangle is 88 meters, what is the width?
A. 24m
B. 16m
C. 32m
D. 8m
The width of the rectangle is determined as: B. 16 m.
How to Determine the Measurement of a Rectangle?The perimeter of a rectangle = 2(l + w)
l = length of the rectanglew = width of the rectangleGiven the parameters:
Perimeter of rectangle = 88 meters
Width of the rectangle = w meters
Length = 2w - 4 meters
Plug in the values into the perimeter formula of a rectangle
2(2w - 4 + w) = 88
2(3w - 4) = 88
6w - 8 = 88
6w = 88 + 8
6w = 96
6w/6 = 96/6
w = 16
Thus, the width of the rectangle is determined as: B. 16 m.
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15x⁴-16x³+0x²+8x-17 ÷ (3x²+x+1)
After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
We are given an expression:
( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )
We need to perform division of the algebraic expression:
5 x² - 7 x + 4
3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17
15 x⁴ + 5 x³ + 5 x²
______________________
- 21 x³ + 5 x² + 8 x - 17
- 21 x³ - 7 x² - 7 x
______________________
12 x² + 15 x - 17
12 x² + 4 x + 4
______________________
11 x - 21
______________________
Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
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Add. 5/7 + 1/2 + 3/4
please help
Answer: 1²⁷/₂₈
Step-by-step explanation:
[tex]\displaystyle\\\frac{5}{7}+\frac{1}{2}+\frac{3}{4} =\\\\\frac{5*4+1*14+3*7}{28} =\\\\\frac{20+14+21}{28} =\\\\\frac{55}{28} =\\\\1\frac{27}{28}[/tex]
Question
Find the equation of the line with slope
1/4
and y-intercept (0, -2).
Answer:
y=1/4 -2
Step-by-step explanation:
y =mx + c
m= slope
c= y-intercept
putting the valves of x and y ( 0,-2)
-2 = 1/4(0) + c
solve for C
C = -2
substituting back to the general equation of
y= 1/4x + C
y = 1/4x - 2( ans).
A huge 52-foot subway sandwich is cut into 7 pieces. There are five pieces one length, and the other two pieces are five feet longer. What is the length of the larger pieces?
Based on the length of the subway sandwich, the length of the larger pieces is 11 feet.
How long are the larger pieces?Assume that the length of the shorter pieces is x.
The length of the larger pieces is therefore 5 + x.
The relevant equation to find the length is:
52 = x + x + x + x +x + 5 + x + 5 + x
52 = 7x + 10
x = (52 - 10) / 7
= 6 foot
The length of the larger pieces is:
= 5 + x
= 5 + 6
= 11 foot
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I need help fast please and thank you
Answer:
Option a 340 cm²
Area= bxh
20x17=340 cm²
A 7-year-old boy was struck by a car while riding his bicycle. his bp is 60/40 mm hg, pulse is 160 beats/min, and respirations are 34 breaths/min. how much iv fluid should you administer per bolus?
If the boy is riding a bicycle and gets stuck or got accident by a car, 440ml of IV fluid will be administered.
What should be done to provide first assistance in the event of an accident?To avoid further injury, place the victim on the ground very gently and slowly without handling vigorously. In one direction, tilt the sufferer. Dress loosely around the waist, chest, and neck. So that the tongue can fall forward and allow blood and vomit to drain out, tilt your head back and slightly downward. When you come across an accident victim, the first thing you need to determine is whether the victim's body has sustained any physical wounds. Depending on how severe the collision was, you might not be able to see any inside injuries, but you will see a few exterior ones.
In a car accident, spine injuries and head trauma are common. Therefore, be aware that rough handling of the sufferer will result in additional injuries while opting to assist the victim in moving to a safer location on the road. Therefore, request any onlookers to carefully assist in moving the sufferer to a location near the road where it will be safer.
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solve the similtaneous equations
y=9-x
y=2x^2+4x+6
The solution of the given equation are (1/2 , 17/2) and (-3 , 12)
The two equation that we have been given are :
y = 9 – x (1)
y = 2x² + 4x + 6 (2)
We will solve this simultaneously, from equation (1) we will equate the value of y in equation (2) we get
9 – x = 2x² + 4x + 6
3 = 2x² + 5x
2x² + 5x – 3 = 0
Now to find the factors of the value x we will use quadratic formula.
x = (-b±√b² – 4ac)/2a
x = [ -5 ± √25 + 24 ]/4
x = [ -5 ± 7 ]/4
x = (-5 + 7)/4 and x = (-5 – 7)/4
x = 1/2 and x= -3
putting the required value of x in equation (1) we get
y = 9 – 1/2 and y = 9 – (-3)
y = 17/2 and y = 12
Hence the solution of the equation is (1/2 , 17/2) and (-3 , 12)
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Write an absolute value inequality for the graph below.
Use x for your variable.
Answer:
The absolute value inequality will be |x| ≥ -2.
Step-by-step explanation:
Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
Answer:
234
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [3, 6 ] , then
f(b) = f(6) = [tex]3^{6}[/tex] + 17 = 729 + 17 = 746
f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then
average rate of change = [tex]\frac{746-44}{6-3}[/tex] = [tex]\frac{702}{3}[/tex] = 234
Find the output (y) of the function y
20x + 38 if the input (2) is -9.
A function assigns the values. The output(y) of the function y=20x + 38 if the input is -9 is -142.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function y=20x+38, therefore, if the input of the function is -9, then the output can be calculated by substituting the value of x as -9. Therefore, we can write the function as,
y = 20x + 38
y = 20(-9) + 38
y = -180 + 38
y = -142
Hence, the output(y) of the function y=20x + 38 if the input is -9 is -142.
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a sum of scalar multiples of two vectors (such as ab, where a and b are scalars) is called a linear combination of the vectors. let u, and v,. express , as a linear combination of u and v
The linear combination of u and v = <3,-27>=5U+4V.
What does linear combination in vectors mean?A linear combination of two or more vectors is the vector formed by multiplying two or more vectors (with distinct directions) by scalar values. The above equation demonstrates that the vector is produced by adding two vectors to three vectors.
What is the term "linear combination"?The term "linear" has two independent meanings: geometric and algebraic. Because linear combinations essentially linear in the both senses, the expression is accurate.
According to the given information:Let u= <3,3> and v= <-3,3>
<3,-27> = x< 3,3> + y<-3,3> = <3x - 3y, 3x + 3y>
3x - 3y = 3 => x - y = 1
3x + 3y = -27 => x + y = -9
Adding both, we get
2x = -8 => x = -4
y = -5
So <3,-27> = -4< 3, 3 > + (-5) < -3 , 3 >
The linear combination of u and v = <3,-27>=5U+4V.
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I understand that the question you are looking for is:
A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a linear combination of the vectors.
Let u= <3,3> and v= <-3,3>. Express <3,-27> as a linear combination of u and v.
find the value of x ?
The value of x from the given diagram is 64 degrees
Lines and anglesA line is defined as the shortest distance between two points. From the given diagram, we have that the line AB bisects FAB, hence;
<FAB = <CAB = 58 degrees
Also since the sum of angles on a straight line is 180 degrees, hence;
58 + 58 + x = 180
116 + x = 180
x = 180 - 116
x = 64 degrees
Hence the value of x from the given diagram is 64 degrees
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helppppppppppppppppppp
Answer:
19
Step-by-step explanation:
5w+3°=98°
5w=98°-3°
5w=95°
therefore w=95/5=19
If g(x) =4x²+2x-24,what is g(2)?
Answer:
-4
Step-by-step explanation:
x is a variable, so to do g(2) you have to write g(x), but substitute 2 in place of x:
g(2) = 4*2² + 2*2 - 24 = 16 + 4 - 24 = -4
Find the slope and y intercept of the line through the point (9,10) that cuts off the least area from the first quadrant
The slope of the line is -10/9 and the value of y-intercept of the line is 50/3.
Slope of the line:
A slope of a line is the change in y coordinate with respect to the change in x coordinate.
Given,
The point (9,10) that cuts off the least area from the first quadrant
Here we need to find the slope and y intercept of the line.
A line is passing through a point (9,10) cuts off least area in first quadrant.
The equation of the line passing through point (9,10) and has slope m can be expressed as,
=> y - 10 = m (x - 9)
=> y = m(x - 9) + 10
=> y - mx = - 9m + 10
Divide the terms by - 9m + 10, then we get,
=> (y/- 9m+10) - (mx/ - 9m+10) = 1
=> (mx/9m+10) - (y/9m+10) = 1
It can be rewritten as,
[tex]\implies\frac{x}{\frac{9m-10}{m}} -\frac{y}{10-9m}[/tex]
We know that,
The equation of straight line in intercept form is
=> x/a + y/b = 1
So, the intercept made by the line on x-axis i.e. a and on y-axis i.e. b are:
a = 9m-10/m
b = 10 - 9m
The area of the triangle made by the line in first quadrant can be expressed as,
=> A = 1/2 x (9m-10/m) x (10 - 9m)
=> A = -1/2 (9m-10)²/m-----------------------(1)
Differentiate the equation (1) with respect to m.
[tex]\frac{dA}{dm}=-\frac{1}{2}[\frac{2m(9m-10).9-(9m-10)^2}{m^2}][/tex]
[tex]\frac{dA}{dm}=-\frac{9m-10}{2m^2}[2m.9-(9m-10)][/tex]
[tex]\frac{dA}{dm}=-\frac{9m-10}{2m^2}[18m-9m-10)][/tex]
when we simplify it,
=> dA/dm = -(9m-10)/2m² [9m-10]
Let dA/dm = 0, then
=> 0 = -1/2m² (9m-10)(9m-10)
=> 0 = 1/m² (10-9m)(9m-10)
=> 0 = (10 - 9m) (9m -10)
Therefore, the value of m is,
=> 10 - 9m = 0
=> -9m = -10
=> m = 10/9
And
=> 9m - 10 =0
=> 9m = 10
=> m = 10/9
The line will be in first quadrant and forms a triangle with axes if the slope is negative.
Substitute m = -10/9
Then, b = 10-9m
Then,
=> y = 10 - 6(-10/9)
=> y = 10 + 20/3
=> y = 50/3
So, the slope of the line is -10/9 and the value of y-intercept of the line is 50/3.
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Rewrite the polynomial in descending order. Identify the degree of the polynomial, the leading term, and the leading coefficient.
12 - 6b^6 + 4b - 3b^4
Answer:
Solution
12-6b6+4b-3b4, find Polynomial in descending order
Solution:
The Given Polynomial =12-6b6+4b-3b4
Descending order is basically when its terms are arranged in order from largest degree to smallest degree
Descending order of polynomial =-6x6-3x4+4x+12
Step-by-step explanation:
What is the answer to 1/4 times 2/3 times 4/3 equal?
Answer:
2/9
Step-by-step explanation:
To multiply fractions you just multiply the numerators with the numerators and the denominators with the denominators
1/4 * 2/3 = 2/12 which simplifies to 1/6
1/6 * 4/3 = 4/18 which simplifies to 2/9
:D
simplify fully
x^5-4x^3/ 3x-6
a group of students is given a 10 by 10 grid to cut into individual unit squares. the challenge is to create two squares using all of the unit squares. their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. which equation represents x, the side length of the greater square? x2 (x – 2)2
The correct option is C. x² + (x – 2)² = 100.
The equation which depicts x, the side length of the greater square is x² + (x – 2)² = 100.
What is square?In geometry, a square is a plane figure with 4 equal sides as well as 4 right (90°) angles. A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral & equiangular one).
Now, as per the question;
Let x be the larger square's side length. Because it is two units larger than the relatively small square, the smaller square's side length would be (x-2).The side length squared, or the quantity of unit squares contained in the larger square, would give the quantity of unit squares within the larger square or x².The side length squared, or the number of unit squares in the smaller square, would give the number of unit squares within the smaller square or (x-2)².These total the quantity of unit squares in a 10 by 10 square, or 10² = 100.This is given by relation shown by expression;
x² + (x-2)² = 100
Therefore, the equation which represents x, the side length of the greater square is x² + (x-2)² = 100.
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The complete question is-
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.
Which equation represents x, the side length of the greater square?
A. x² + (x – 2)² = 10
B. x² + 2x² = 10
C. x² + (x – 2)² = 100
D. x² + 2x² = 100
Evaluate the expression shown below and write your answer as a fraction in
simplest form.
17/23+3/23=
Answer:
17/23+3/23 = 10/23 =2.3
Step-by-step explanation:
brainliest
I have something on my page, please can you help me?
thankyou
An urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 1/6.
What is probability ?Probability is the chance of occurring a certain event out of total possible events that can order in a given situation.
According to the given question an urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles.
So there are total of ( 19 + 29 + 43 ) = 85 marbles.
∴ No. of sample space N(s) = 85.
No. of red marble N(red) = 19.
One marble is to be chosen from the urn without looking the probability of choosing a red marble P(red) is N(red)/N(s) which is
P(red) = 19/85
P(red) = 1/5.
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Givien h(x) = -x- 5, find h(-6)
Answer:
h(-6) = 1
Step-by-step explanation:
Hello!
Substitute -6 for x in the equation.
Evaluateh(x) = -x - 5h(-6) = -(-6) - 5h(-6) = 6 - 5h(-6) = 1h(-6) is 1.
Delila is multiplying three negative numbers and determines that the solution will be negative. is she correct or incorrect?
Delila is correct as she multiplying three negative numbers and determines that the solution will be negative.
As given in the question,
Let the three negative numbers be -x , -y , and -z.
Delia is multiplying three negative numbers
Multiply First two numbers
(-x) (-y) = + x y as (-)(-) = +
Multiply by third numbers
(+x y) (-z) = -x y z as ( +)(-) = -
Therefore, Delila is correct as she multiplies three negative numbers and determines that the solution will be negative.
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Answer:
Yes, she is correct.
(-2+1)exponent2+5(12/3)-9=
Question :
(-2+1)exponent2+5(12/3)-9=
Answer:
The answer is : 12 po
PLS HELP IM SO CONFUSED
The student says that the proof shows that AOM BOM because they are vertical angles.
Which statement best corrects the student's interpretation?
A. CON = BOM because they are vertical angles.
B. AOM = BOM because they are supplementary, not because they are vertical angles.
C. AOM = BOM because they are complementary, not because they are vertical angles.
D. AOM = BOM because they are both congruent to the same angle, not because they are vertical angles.
∠AOM ≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
How to Identify Congruent Angles?
From the image of the angles attached, we are given that;
∠AOM ≅ ∠DON
Now, from the vertical angle theorem, we can say that;
∠AOM ≅ ∠CON
Similarly, by vertical angles theorem, we can also say that;
∠BOM ≅ ∠DON
From transitive property of congruence, we can equally say that since ∠AOM and ∠BOM are equal to the same angle, then;
∠AOM ≅ ∠BOM
From transitive property of congruence, we can equally say that since ∠CON and ∠BOM are equal to the same angle, then;
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Answer: ∠AOM≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
Step-by-step explanation:
cause I did the mastery test
Consider this solution to a problem. what is the number of the step where the mistake is made? question 4 options: step 1 step 2 step 3 step 4
In step 1 mistake has been made because negative multiplication gives a positive result but is written negative.
What is the equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
Given that,
−4(6−y) + 4 = −4
By using distribution property
-24 + 4y + 4 = -4
But in the question +4y is written as -4y which is wrong.
Hence In step 1 negative multiplication gives a positive result but is written negative so in step 1 mistake has been made".
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The given question is not complete.
Consider this solution to a problem.
Problem: −4(6−y)+4=−4
Step 1: −24−4y+4=−4
Step 2: −20−4y=−4
Step 3: −4y=16
Step 4: y=−4
In the first response box, enter the number of the step where the mistake is made.
what is the graph
picture below
pls helppppp for brainlest
Answer:
B
Step-by-step explanation:
5x + 4y >= 2
4y >= -5x + 2
y >= -5/4x + 1/2
Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.