Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not

VMariaS [17]

Correct Answer:
C option: 6 feet

Solution:
Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet. So we can write:

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
 $18:4=27:x \\ \\ 
 \frac{18}{4} = \frac{27}{x} \\ \\ 
x=27* \frac{4}{18} \\ \\ 
x=6$

This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.

7 0

3 years ago

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The perimeter of a square is represented by the expression 4(4.3 - 6). Which statement is true?O The perimeter can also be repre

lana66690 [7]

the perimeter is:

4(4x - 6)

Applying distributive property:

4(4x) - 4(6)

16x - 24

Then, the perimeter can also be represented by 16x - 24 because 4(4x - 6) can be simplified to 16x - 24

7 0

1 year ago

Write four numbers that round to 700,000 when rounded to the nearest hundred thousand

Tanya [424]

690000
650000
670000
680000

6 0

3 years ago

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Help please 1. Describe the transformations necessary to transform the graph of

natta225 [31]

Here are all the steps, and what they do:

STEP 1: HORIZONTAL TRANSLATION

We transform

$x^2\mapsto (x-1)^2$

The general transformation is

$f(x)\mapsto f(x+k)$

These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.

In this case, k = -1, so we translate the original graph 1 unit to the right.

STEP 2: VERTICAL STRETCH

We transform

$(x-1)^2\mapsto 3(x-1)^2$

The general transformation is

$f(x)\mapsto kf(x)$

These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.

In this case, k = 3, so we stretch the graph vertically by a factor 3.

STEP 3: VERTICAL TRANSLATION

We transform

$3(x-1)^2\mapsto 3(x-1)^2+4$

The general transformation is

$f(x)\mapsto f(x)+k$

These transformations translate the graph vertically, k units up if k>0, k units down if k<0.

In this case, k = 4, so we translate the graph 4 units up.

So, we start from the original graph of $f(x)=x^2$ and we:

Translate it 1 unit to the right
Stretch it vertically by a factor 3
Translate it 4 units up

(the order is important!)

to get the graph of $g(x)=3(x-1)^2+4$

4 0

3 years ago

Which statement is true?

Otrada [13]

The statement that would be considered be as true is "In a regular hexagon, the length of the radius is the same as the length of a side. In addition, a hexagon could be sliced forming triangles that are equilateral therefore having the same length of sides and similar interior angles.

3 0

3 years ago

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