Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false

Answer:

X-Intercept: [tex]x=-\frac{5}{2}y[/tex]

Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]

Step-by-step explanation:

X-Intercept-

2x+5y=0     - Move the variable to the right-hand side and change its sign

2x=-5y     - Divide both side of the equation by 2

x=-5/27     - Write the solution x in parametric form

x=-5/2y, y∈R

Y-Intercept-

2x+5y=0    - Move the variable to the right hand side and change its sign

5y=-2x     Divide both sides of the equation by 5

y=-2/5x     Write the solution y in parametric form

y=-2/5x, x∈R

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 bouquets of 3$ is 3*3 = 3^2

4 bouquets of 2$ = 2 * 4

Answer:

Assuming that the x2 is x squared, B

Step-by-step explanation:

(1)(1) + 5(1) - 6 = 1 + 5 - 6 = 6 - 6 = 0

(-6)(-6) + 5(-6) - 6 = 36 - 30 - 6 = 6 - 6 = 0

Answer:

B

Step-by-step explanation:

Let's solve using factoring.

x²+5x-6=0

5 is the sum of the numbers, while -6 is their product.

Think: which two numbers add up to 5, but when multiplied, equal -6?

Those numbers are -1 and 6.

Now factor the polynomial:

(x-1)(x+6)=0

split into parts:

(x-1)=0

x-1=0

x=1

(x+6)=0

x+6=0

x=-6

So B

Hope this helps!

Answer:

64%

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

1.80 + 1.05 = 2.85

3.00 - 2.85 = .15 inches

Answer:

1 slope of f is 5

slop of g is 2

2. connor

initial value is 200

rate of change is -10

Pilar

initial value is 242

rate of change is -8

3.

y intercept of f is -3

y intercept of g is -1

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

.

Answer:

f(x)=2x+5

Step-by-step explanation:

If you think about it, 5 is the y intercept, meaning the money he earn that day. While Sunday, he earned more which is the Slope of 2x because its 2 times the number. And you add them together, and there you go.

Answer:

3000 feets

Step-by-step explanation:

Given that :

Initial Ascent to steady altitude = 35,000 feets

Descent to steady altitude = 32,000 feets

Number of feets the plane descend :

(Initial ascent to steady altitude - descent to steady altitude)

(35000 - 32000) feets = 3,000 feets

Answer:

y= -(2/5)x

Step-by-step explanation:

When you graph this line you can see it clearly passes through the point (5,-2)

Answer:

y + 2 = -2/5 (x - 5)

OR

y = (-2/5)x

Step-by-step explanation:

There are many ways you can find the equation.

There are two main ones, one called point-slope form, and the other called slope intercept form.

Point-slope form is easy. All you need a a point on the line, and the slope! Since they give you that in the question, all you need to do is plug things in.

Point slope form is y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

x and y are any points. [tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that the problem gives you. m is the slope.

The equation would be y + 2 = -2/5 (x - 5).

Slope intercept form is a bit harder. You need a point and the y-intercept.

Since you already have the slope, all you need to find is the y-intercept.

Slope intercept form is y = mx + b

x and y are the given points. m is the slope, and b is the y-intercept.

The y intercept is when the x value of a point is 0.

To find b, you can plug in the information you have, which is the point and the slope.

y = mx + b

-2 = (-2/5)(5) +b

-2 = -2 +b

b = 0

Since b is 0, the equation would just be y = (-2/5)x.

Answer:

The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}

Step-by-step explanation:

The domain is the set of values of the input (x)

The range is the set of values of the output (y)

In the given figure

∵ x is the input

∴ The set of the values of x is the domain

∵ Y is the output

∴ The set of the values of y is the range

∵ The smallest value of y is -6

∵ The greatest value of y is 8

→ That means values of y of the graph are from -6 to 8

∴ -6 ≤ y ≤ 8

∴ The range = {y : y ∈ R, -6 ≤ y ≤ 8}

∴ The range of the graph is {y: y ∈ R, -6 ≤ y ≤ 8}

im not sure how to explain it, but i know its b

9514 1404 393

Answer:

  7. c(n) = 10 +2(n -1)

  8. c(20) = 48

Step-by-step explanation:

7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...

  an = a1 +d(n -1)

If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...

  c(n) = 10 + 2(n -1)

__

8. Evaluating the function when n=20, we find ...

  c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38

  c(20) = 48

There are 48 chairs in row 20.

The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.

The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.

Therefore,

y = mx + b

where

Hence,

3y = -2x + 15

y = -2 / 3 x + 5

For line to be perpendicular it must follow the following rules;

m₁m₂ = -1

m₁(-2 / 3) = -1

-2m₁ = -3

m₁ = 3 / 2

Therefore, the equation can be found as follows:

3 = 3 / 2(1) + b

3 = 3 / 2 + b

b = 3 - 3 / 2

b = 6 - 3 / 2

b = 3 / 2

Hence,

y = 3 / 2x + 3 / 2

learn more on equation of a line here: https://brainly.com/question/21511618

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X × X - X × X × X × X × X + 17= X × X × X + 2

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

Let us solve the question

∵ f(x) = x + 4 if x < 5 ⇒ First part

→ That means if x less then 5 we will use this part of f(x)

∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part

→ That means if x = 5 or greater than 5 and less than 7, we will use

   this part of f(x)

∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part

→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,

   we will use this part of f(x)

a. The value of f(0)

∵ x = 0

∵ 0 < 5

→ That means we will use the first part of f(x)

∵ f(x) = x + 4

∴ f(0) = 0 + 4

∴ f(0) = 4

b. The value of f(6)

∵ x = 6

∵ 6 is between 5 and 7

→ That means we will use the second part of f(x)

∵ f(x) = 8

→ It means the value of f(x) is 8 for any values of x from 5 to less than 7

∴ f(6) = 8

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

if m = 1 and b = 3 then

y = x + 3

Reasoning:

There are 12 face cards since there are 3 face cards in any suit, and 4 suits. So 3*4 = 12.

There are 52 cards total.

Dividing the values leads to 12/52 = 0.230769 which rounds to 0.23

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The dimensions of bricks are in inches so convert foot into inches.

1 foot = 12 in

4 feet = 48 in

8 feet = 96 in

To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.

[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]

[tex]\text{Number of bricks in space}=576[/tex]

Hence, 576 bricks can be fit into a space.

Therefore the correct option is B.

Answer:

so what are we trying to figure out?

Step-by-step explanation:

Answer:500

Step-by-step explanation:

Answer:

Can you put a number line in the picture?

Step-by-step explanation:

That would really help

Answer:

I think its C but without the number line a cant tell.

Step-by-step explanation:

Answer:

Step-by-step explanation:

pi x 7 squared = 153.938040026

Answer:

The answer to the question provided is

[tex] \frac{1}{4} [/tex]

Answer:

Step-by-step explanation:

None of them

Answer:

b=2

Step-by-step explanation:

Step-by-step explanation:

I hope its clear.

try finding help from others...

mine could be wrong

Answer:

Use pythogoras theorem

a^2+b^2=c^2

x^2=c^2-a^2

x^2=15^2-12^2

x^2=81

x= square root of 81

x=9

Step-by-step explanation:

Step-by-step explanation:

Hello can you please give the amount of kids first?