Slope AB 0-(-5)/-3-(-4)= 0+5/-3+4= 5/1= 5 so Slope AB= 5
And the last fill-in is The quadrilateral is a Trapezoid because ..."Only one pair of opposite sides is parallel"
Answer:
C
Step-by-step explanation:
I'm pretty sure it's C
The side of the edge of the cube is 9. 9cm
<h3>How to determine the length</h3>
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square = ![\sqrt{2a}](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D)
Where is the side of the square
We then have,
![\sqrt{2a} = 14](https://tex.z-dn.net/?f=%5Csqrt%7B2a%7D%20%20%3D%2014)
Make 'a' the subject
a = ![\frac{14}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B%5Csqrt%7B2%7D%20%7D)
Simplify the surd
a =
× ![\frac{14}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B%5Csqrt%7B2%7D%20%7D)
a = ![\frac{14\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B14%5Csqrt%7B2%7D%20%7D%7B2%7D)
a = ![7\sqrt{2}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D)
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
brainly.com/question/1972490
#SPJ1
Answer: ![(-\frac{5}{7})^{17}](https://tex.z-dn.net/?f=%28-%5Cfrac%7B5%7D%7B7%7D%29%5E%7B17%7D)
Step-by-step explanation:
The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:
![(b^a)(b^c)=b^{(a+c)](https://tex.z-dn.net/?f=%28b%5Ea%29%28b%5Ec%29%3Db%5E%7B%28a%2Bc%29)
Where b is the base and a and c are exponents.
Then simplify it by rewriting the base (
) and adding the exponents of the expression (8 and 9).
You will get the expression simplified and written as a power:
![(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}](https://tex.z-dn.net/?f=%28-%5Cfrac%7B5%7D%7B7%7D%29%5E8%28-%5Cfrac%7B5%7D%7B7%7D%29%5E9%3D%28-%5Cfrac%7B5%7D%7B7%7D%29%5E%7B%288%2B9%29%7D%3D%28-%5Cfrac%7B5%7D%7B7%7D%29%5E%7B17%7D)