Answer:
(-3)^2
Step-by-step explanation:
You add 7 on both sides, giving you x^2 - 6x = 7
Then, take half of b, and square it. Giving you x^2 - 6x +(-3)^2 = 7
The answer will be (-3)^2 for this question, but this is not the full solution.
Hope this helped. Good luck on the rest!
Answer: D: Parallel to the base
Step-by-step explanation:
Answer:
9 units.
Step-by-step explanation:
Let us assume that length of smaller side is x.
We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.
We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is
, then the proportion of their area is
.
We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:
![\frac{x^2}{3^2}=\frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B3%5E2%7D%3D%5Cfrac%7B9%7D%7B1%7D)
![\frac{x^2}{9}=\frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B9%7D%3D%5Cfrac%7B9%7D%7B1%7D)
![x^2=9\cdot 9](https://tex.z-dn.net/?f=x%5E2%3D9%5Ccdot%209)
![x^2=81](https://tex.z-dn.net/?f=x%5E2%3D81)
Take positive square root as length cannot be negative:
![\sqrt{x^2}=\sqrt{81}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%7D%3D%5Csqrt%7B81%7D)
![x=9](https://tex.z-dn.net/?f=x%3D9)
Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.
Answer:
Step-by-step explanation:
From B on the ground straight up to A and then turn the corner to follow the dotted line...that is a 90 degree angle. So in order to find the angle of depression, subtract 66 from 90 to get 24 degrees. Subsequently, that is also the angle of elevation (the base angle inside the triangle) due to parallel lines and whatnot.