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4 years ago

What is the scale factor use to create this dilation?

Mathematics

1 answer:

andrezito [222]4 years ago

3 0

Given Info: "The dashed triangle is the image of the solid triangle"

So the "before" is the large solid triangle and the "after" is the smaller dashed triangle.

The horizontal side of the solid triangle is 15 units. The corresponding side for the dashed triangle is 3 units. Dividing the two values gives: 3/15 = 1/5 = 0.2

Make this value negative. The reason why is due to the fact that we have a sort of reflection going on as we're scaling down the figure.

So the final answer is -0.2

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A population of 1,000 cheetahs decreases by 13% per year. How many cheetahs will there be in the population after 4 years? Round

Simora [160]

1,000(1-.13)^4 = P
573 = P

7 0

4 years ago

6) three times a number increased by four is less than -62

Irina-Kira [14]

6) 3x + 4 < - 62 x = - 23 ⇒ 3(-23) + 4 < - 62
 - 4 - 4 -69 + 4 < - 62
3x < -66 - 65 < - 62
÷ 3 ÷3
x < -22

7) x/-5 + 1 < 7 x = -30 ⇒ -30/-5 + 1 < 7
 - 1 -1 6 + 1 < 7
x/-5 < 6 7 < 7
 × -5 × -5
x < -30

8) x/3 - 2 > -12 x = -30 ⇒ -30/3 - 2 > -12
x/3 > -10 -10 - 2 > -12
* 3 *3 -12 > -12
x > -30

9) -2x - 6 > -18 x = 5 ⇒ -2(5) - 6 > -18
 +6 +6 -10 - 6 > -18
-2x > -12 -16 > -18
 ÷ -2 ÷ -2
x > 6 ⇒ x < 6
*flip the inequality sign because the divisor is a negative number: This is to make the inequality true.

6 0

3 years ago

How do i cross multiply

atroni [7]

First, ensure that both sides are single fractions:

$\dfrac{a}{b} = \dfrac{c}{d}$

By cross multiply, we mean:

1. multiplying the numerator of the left hand side with the denominator of the right hand side.
2.multiplying the numerator of the right hand side with the denominator of the left hand side.

That is ..
a x d = c x b

6 0

3 years ago

At a butcher shop hilda bought beef and pork. she left with 10 1/4 Ib of beef and some pork. She left with 21 11/20 Ib of meat.

earnstyle [38]

To express the number of pounds of pork Hilda bought using a decimal shows that she bought 11.3 pounds of pork.

<h3>What is a decimal?</h3>

A decimal is a number that has a whole number and a fraction separated by a decimal point.

The decimal point is the dot that separates the whole number from the fractional part.

We can convert the mixed fraction to its improper fraction (by multiplying the whole number with the denominator and adding the numerator), and then divide the result by the denominator again.

<h3>Data and Calculations:</h3>

Total weight of meat bought = 21¹¹/₂₀ pounds (21.55)

Total weight of beef = 10¹/₄ pounds (10.25)

Therefore, the total weight of pork = 11.3 pounds (21.55 - 10.25)

Thus, the number of pounds of pork Hilda bought expressed as a decimal is 11.3 pounds of pork.

Learn more about decimals at brainly.com/question/703656

#SPJ1

5 0

2 years ago

Equation of the line slope with slope -3 and the passes through (2,-1)

Anni [7]

Answer:

The equation of the line with slope -3 and passes through (2,-1) is y = -3x + 5

Solution:

In the question it is given that the line passes through the point (2,-1) with slope (m) = -3. We have to find out the point slope form and slope intercept form of the equation.

We know the point - slope form of an equation is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { Here } y_{1}=-1 \text { and } x_{1}=2 \text { and the slope } m=-3$

Substituting the values in the point slope form of the equation we get

(y-(-1)) = -3(x-2)

(y+1) = -3 (x-2) is the point slope form of given line

We know the slope intercept form of a line is given by

y = mx +c

Here y = -1 , x = 2 and m = -3

Substituting the values in slope intercept form equation we get

-1 = (-3)2 + c

⇒-1 = -6 + c

⇒-1+6 = c

c = 5

Thus the slope intercept form of equation is y = -3x+5

4 0

3 years ago