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3 years ago

What's the scale factor of the Dilation

Mathematics

2 answers:

Ainat [17]3 years ago

8 0

The scale factor is 4

soldi70 [24.7K]3 years ago

3 0

Answer:

so the scale factor of the image is $\frac{1}{4}$

Step-by-step explanation:

We have to find the scale factor of figure A'B'C'D' which is the dilated image of quadrilateral ABCD.

Now we choose a line segment AB and compare it with line segment A'B'.

Since length of AB = 4 units

and length of A'B' = 1 units

So ratio of AB and A'B' = $\frac{A'B'}{AB}=\frac{1}{4}$

so the scale factor of the image is $\frac{1}{4}$

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Roger has 2 1/2 cups of peanut butter. A recipe for a loaf of bread requires 3/4 cups of butter. How many loaves of bread can he

Sergio [31]

Answer:

3 loaves of bread

Step-by-step explanation:

We must divide $2\frac12$ by $\frac34$ and take an integer part of this dividing.

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6 0

3 years ago

4x – 3y=8<br> 2. 5x – 2y = -11

AlladinOne [14]

Answer:

$x = -7$

$y = - 12$

Step-by-step explanation:

The given system is:

4x-3y=8

5x-2y=-11

We make x the subject in the top equation to get:

$x = \frac{3}{4}y + 2$

Plug this expression for x in the bottom equation to get

$5( \frac{3}{4}y + 2) - 2y= - 11$

We expand to obtain

$\frac{15}{4} y + 10 - 2y = - 11$

Multiply through by 4

$15y + 40 - 8y = - 44$

Group similar terms

$15y - 8y = - 44 - 40$

$7y = - 84$

$y = - \frac{84}{7} =-12$

This means

$x = -12\times \frac{3}{4} + 2$

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6 0

3 years ago

What is the base 8 representation of the number 11100111(2)

kondor19780726 [428]

Remark

You could convert base two to base 10 and then convert base 10 to base 8. That's the long way. The procedure below is the short way.

Step One

Write the base 2 number in groups of 3 starting from the right and going left

11 100 111

Step Two

Convert the base 2 numbers in groups of 3 to base 8. The largest result will be a 7

11 = 2*1 + 1 = 2 + 1 = 3

100 = 1*2^2 = 4

111 = 1*2^2 + 1*2 + 1 = 7

Step Three

Read the answer going down.

347 is the answer

Answer

347(8) = C

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Step-by-step explanation:

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