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Find the distance between the two points in simplest radical form.
Answer:
(4, 3) and (-2, 0)

Answer:

Approximately 1.86 times smaller

Step-by-step explanation:

5×10-7 = (5×10=50) = 50-7 = 43

8.5×10-4 = (8.5×10=84) = 84- 4 = 80

80/43 = approximately 1.86

43×1.86 = approximately 80

80/1.86 = approximately 43

Answer:

B. 5/9

Step-by-step explanation:

You can just divide 5 and 9 and you get the repeating decimal

Answer:

x ≤ 0 = no solution

Step-by-step explanation:

[tex]\sf (-2x)2x+1-2x=2x-1-2x\\1=-1\\= 0\\No~solution.[/tex]

Answer:

-67

Step-by-step explanation:

[tex]x=-20 \implies x<-12 \\ \\ \therefore f(-20)=3(-20)-7=-67[/tex]

The ΔVZW is Equilateral Triangle .

Equilateral Triangle is defined as the triangle in which all the three sides of the triangle are equal.

For Example ; if a triangle ABC has lengths AB=2cm , BC=2cm and CA=2cm    then the triangle ABC can be called as an equilateral triangle as all sides have same length i.e. 2cm .

In the question ,

From the diagram, we have the radius of all the circles are of equal length ,

Since the radius of all the circles are equal in length , their diameter will also be equal in length .

We can see from the diagram that VZ , ZW and WV are the diameters of the circles , So they will be equal in length ,

which means VZ = ZW = WV.

In triangle VZW the sides VZ , ZW and WV  are of equal length , hence the triangle will be an Equilateral Triangle.

Therefore , the Triangle VZW is Equilateral Triangle .

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The total number of hours taken by farmer's son to plow the farm is 19 hours.

Time refers to the duration of any task or activity that occurs or continues.

Work is a process or set of tasks designed to achieve a specific result.

For, the given question;

Let F be the number of hours taken by farmer to finish the work.

Let S be the number of hours taken by farmer' son to finish the work.

The amount of work finished in 1 hour by farmer is 1/F = 1/11.

The amount of work finished in 1 hour by farmer's son is 1/S.

The amount of work finished by both in 1 hours is;

1/F + 1/S = 1/7

1/S = 1/7 - 1/F

1/S = 1/7 - 1/11

Simplifying the given term;

1/S = 4/77

or, S = 77/4 = 19.25 hours.

S = 19 hours (fraction reduced to lowest terms)

Thus, the time taken by the farmer's son to complete the plow of field is 19 hours.

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Answer:

[tex]\frac{2}{15}[/tex]

Step-by-step explanation:

On the first spinner, there are 3 possible outcomes. Of those 3 outcomes, only one is what we're looking for (Landing on B). This means that the chance to land on B on the first spinner is [tex]\frac{1}{3}[/tex].

For the second spinner, There a 5 possible outcomes, and 2 even numbers on the spinner, meaning the chance to land on an even number is [tex]\frac{2}{5}[/tex].

Since these are independent events, we can simply multiply these numbers together and get [tex]\frac{1}{3}*\frac{2}{5}=\frac{2}{15}[/tex].

The coordinates of L are: (8,-4)

Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is

(x, y) → (y, -x)

Based on the rule given in step 1, we have to find the vertices of the rotated figure.

(x, y) → (y, -x)

L(4,8) → L'(8.-4)

M(4,3) → M'(3,-4)

N(8,8) → N'(8,-8)

Vertices of the rotated figure are:

L'(8.-4)  M'(3,-4)  N'(8,-8)

Hence we get the desired result.

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Greetings from Brasil...

If X grows and Y grows, the function is increasing

If X increases and Y decreases, the function is decreasing

Besides that, according to the statement, we can conclude that the parabola has an upward concavity, that is, a > 0. In this case the vertex will be a minimum point

check the attachments

P.S. - vertex coordinate = (3; 0)

Answer: 19.6

Step-by-step explanation:

The triangles that have an area of 10 square units are triangles A and B

The area of a triangle is calculated using

Area = 0.5 * Base * Height

Triangle 1

Base = 5

Height = 4

So, we have

Area = 0.5 * 5 * 4

Area = 10

Triangle 2

Base = 4

Height = 5

So, we have

Area = 0.5 * 5 * 4

Area = 10

Triangle 3

Base = 5

Height = 5

So, we have

Area = 0.5 * 5 * 5

Area = 12.5

Hence, the triangles that have an area of 10 square units are triangles A and B

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Answer:

Please disregard

Step-by-step explanation:

The triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

It is given that:

In Euclidean geometry, the interior angles of any triangle add up to 180 degrees.

As we know,

Spherical trigonometry, which departs from conventional trigonometry in many ways, is created when angles between great circles are defined.

For instance, the total of the sides and angles of a hemispheric triangle is more than 180 degrees.

In spherical geometry, triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

Thus, the triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.

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APY for Kevin's account = 1.67%

The interest on a loan or deposit that is computed based on both the original principle and the accumulated interest from prior periods is known as compound interest (also known as compounding interest). Compared to simple interest, which is computed just on the principal amount, it will cause a sum to increase more quickly.

The frequency of compounding determines the pace at which compound interest accumulates. The compound interest increases with the number of compounding periods.

APY = [tex](1 + \frac{r}{n})^{n} - 1[/tex]  =   [tex](1 + \frac{1.667}{365})^{365} - 1[/tex]  =  1.0167 - 1 = 0.0167

APY = 1.67%

Therefore, APY for Kevin's account = 1.67%

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Answer:

(-27*3) ÷9

Step-by-step explanation:

-27*3=-81

-81/9=-9

Equation giving the length of this rod at temperature is g = 0.000085t + 84.991075 cm.

What is temperature ?

Given that,

Temperature denoted by T

G - L = aL(t - T)

G = aLt +  L(1 - aT)

Slope = aL

Intercept = L(1 - aT)

g = 0.000085t + 84.991075 cm

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Answer:

Step-by-step explanation:

Given,

N= 100

Q1=?

We know that,

Q1= N/4

   = 100/4

   = 25

Answer:

(6x) + 9 = 4

Step-by-step explanation:

Times means 'The answer when you multiply' So we are working in multiplication. ( x )

6x is the multiplication.

It says 'more than' which means adding to our answer. So we add 9. So far our equation is: (6x) + 9 (Brackets are needed as we are multiplying 6 by x and not multiplying 6 by x+9)

Lastly, it says the answer must be 4 so we add that at the end. So the answer is:

(6x) + 9 = 4

g(x) = 3√(x-5) -1

The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.

Horizontal stretching: It means the graph is elongated or shrink in x direction.

Vertical stretching : It means the graph is elongated or shrink in y direction

Vertical translation : It means moving the base of the graph in y direction

Horizontal translation : It means moving the base of the graph in x direction

According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.

Therefore, in order to  move the graph down 1 units, we need to subtract given function by 1 , we get

g(x) = 3√x -1

According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.

Therefore, in order to  move the graph left by 5 units, we need to add given function by 5 , we get

g(x) = 3√(x-5) -1

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Step-by-step explanation:

80.3÷9.4

80/3÷9/4

80/3×4/9

26.6×4/9

=17.733

This means that Kenna will get 18 pieces from one lenght of pipe

Answer:

72

Step-by-step explanation:

I am pretty certain that the answer is 72.

Steps:

[tex]\frac{8}{36}[/tex] [tex]\frac{x}{9}[/tex]

Cross-Multiply and Divide.

8*9 = 72

72 / 36 = 2

2/9 = 0.222222

8/36 = 0.222222

2/9 = 0.2222222

Answer: [tex]\boxed{\sqrt{12x-1}}[/tex]

Step-by-step explanation:

[tex]\sqrt{2(6x-3)+5}\\ \\\sqrt{(12x-6)+5} \\\\\boxed{\sqrt{12x-1}} \\\\This\ is\ as\ far\ as\ you\ can\ simplify\ this[/tex]

the correct option is the first one (counting from the top).

The true statement is:

"The leading coefficients of f(x) and g(x) are opposites"

We know that f(x) and g(x) are quadratic functions, and the sum of these two functions is shown in the graph.

We can see that the sum gives a linear graph, so the terms with the exponents of 2 are cancelled by the sum.

This only can happen if f(x) and g(x) have opposite (same absolute value but different sign) leading coefficients, so the quadratic terms are cancelled when we add the functions.

For example in f(x) = 2*x^2 + 3x + 4

                         g(x) = -2x + x + 13

If we add these two functions, we would end with a line.

With that in mind we can conclude that the correct option is the first one (counting from the top).

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