equation form: y = mx + b
where m is the slope, and b is the y-intercept.
slope = (y2 - y1) / (x2 - x1) = (13 -8) / (11 - 5) = 5/6
y = 5/8 x + b (replace x and y by 5 and 8)
=> 8 = 5/6 * 5 + b
=> 8 = 25/6 + b
=> b = 8 - 25/6 = 23/6
==> equation: y = 5/6 * x + 23/6
When two shapes are mathematically similar, that means that all their sides are in a proportion.
We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.
EH/AD = 6/9 = 2/3
The ratio of EFGH to ABCD is 2:3
Now we have to find BC.
Becuase they're in proportion, we can form this equation:
= ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Cross multiply:
24 = 2*BC
Divide both sides by 2:
BC = 12 cm
Good luck!
Answer: x=5, y=22 C.
Step-by-step explanation:
I just did the quiz
Given:
The actual length of side y is 22cm.
To find:
The length of side x by using the scale drawing.
Solution:
We know that the corresponding sides of original figure and scale drawing are proportional.
![\dfrac{x}{1.8}=\dfrac{y}{1.4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B1.8%7D%3D%5Cdfrac%7By%7D%7B1.4%7D)
![\dfrac{x}{1.8}=\dfrac{22}{1.4}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B1.8%7D%3D%5Cdfrac%7B22%7D%7B1.4%7D)
![x=\dfrac{22}{1.4}\times 1.8](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B22%7D%7B1.4%7D%5Ctimes%201.8)
![x\approx 28.286](https://tex.z-dn.net/?f=x%5Capprox%2028.286)
Therefore, the length of side x is about 28.286 cm.
Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²