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nikdorinn [45]
3 years ago
9

Find the scale factor of the smaller figure to the larger figure

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

#9: 1.2

#10: 1.25

Step-by-step explanation:

To find the scale factor of the smaller figure to the larger figure, we're going to be dividing the measurements of corresponding edges.

\frac{larger figure}{smaller figure}

If you wanted to find the scale factor of the larger figure to the smaller figure, you'd do: \frac{smaller figure}{larger figure}

Question #9:

Left edges: \frac{larger figure}{smaller figure} ⇒ \frac{24}{20} = 1.2

Bottom edges: \frac{larger figure}{smaller figure} ⇒ \frac{30}{25} = 1.2

<em>(You should get the same number as long as the figures are similar.)</em>

<em />

Question #10:

Bottom edges: \frac{larger figure}{smaller figure} ⇒ \frac{30}{24} = 1.25

<em>(There are no corresponding edges with measurements that we can compare.)</em>

<em />

~Hope this helps!~

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Rzqust [24]

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

8 0
2 years ago
Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a wi
tekilochka [14]

Answer:

Area = f(x)=10x^2 + 31x + 15

Step-by-step explanation:

The function is the area function of a rectangle.

Area of Rectangle = Length * Width

Length of fabric scrap = 5x

Length of rectangular patchwork will be 5x + 3

and

Width of fabric scrap = 2x

Width of rectangular patchwork will be 2x + 5

THus, Area = (5x+3)(2x+5) square feet.

Let's expand:

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3 0
3 years ago
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3.79x < = 15 (thats less then or equal)
5 0
3 years ago
Read 2 more answers
Please help me :(
damaskus [11]
You could use sine to find it
sin45 = 8/m
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3 0
3 years ago
The perimeter of a rectangle is 76cm.
Mariana [72]

Answer:

The length would be 9cm

Step-by-step explanation:

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6 0
3 years ago
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