<h2>
Dilations and Scale Factors</h2>
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
<h2>Solving the Question</h2>
We're given:
- Original side length is 2.5 units
- Scale factor = 6
Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
<h2>Answer</h2>
15 units
Answer:
p = -6
Step-by-step explanation:
pls give brainliest if im right
Answer:
pizza
Step-by-step explanation:
dough sauce cheese toppings
Well i know that 12x12=144 so it is 12!
Answer:
The equation of line is: ![\mathbf{4x-3y=-18}](https://tex.z-dn.net/?f=%5Cmathbf%7B4x-3y%3D-18%7D)
Step-by-step explanation:
We need to find an equation of the line that passes through the points (-6, -2) and (-3, 2)?
The equation of line in slope-intercept form is: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is slope and b is y-intercept.
We need to find slope and y-intercept.
Finding Slope
Slope can be found using formula: ![Slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have ![x_1=-6,y_1=-2, x_2=-3, y_2=2](https://tex.z-dn.net/?f=x_1%3D-6%2Cy_1%3D-2%2C%20x_2%3D-3%2C%20y_2%3D2)
Putting values and finding slope
![Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7B2-%28-2%29%7D%7B-3-%28-6%29%7D%5C%5CSlope%3D%5Cfrac%7B2%2B2%7D%7B-3%2B6%7D%20%5C%5CSlope%3D%5Cfrac%7B4%7D%7B3%7D)
So, we get slope: ![m=\frac{4}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%7D%7B3%7D)
Finding y-intercept
Using point (-6,-2) and slope
we can find y-intercept
![y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5C-2%3D%5Cfrac%7B4%7D%7B3%7D%28-6%29%2Bb%5C%5C-2%3D4%28-2%29%2Bb%5C%5C-2%3D-8%2Bb%5C%5Cb%3D-2%2B8%5C%5Cb%3D6)
So, we get y-intercept b= 6
Equation of required line
The equation of required line having slope
and y-intercept b = 6 is
![y=mx+b\\y=\frac{4}{3}x+6](https://tex.z-dn.net/?f=y%3Dmx%2Bb%5C%5Cy%3D%5Cfrac%7B4%7D%7B3%7Dx%2B6)
Now transforming in fully reduced form:
![y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B4x%2B6%2A3%7D%7B3%7D%20%5C%5Cy%3D%5Cfrac%7B4x%2B18%7D%7B3%7D%20%5C%5C3y%3D4x%2B18%5C%5C4x-3y%3D-18)
So, the equation of line is: ![\mathbf{4x-3y=-18}](https://tex.z-dn.net/?f=%5Cmathbf%7B4x-3y%3D-18%7D)