Answer:
Graph A
Step-by-step explanation
I look at the y-intercept first, and the y-intercept is -4, so looking at each graph you can see both A and D have y-intercepts of -4, since the line intercepts, or goes through the y-axis (the vertical line of the graph) at -4.
Then, you look at the variable that's changing, which is -5x. Since it's a negative, A is the graph that is negatively decreasing, because of its position on the graph. The line is going down, starting in the negative side.
Answer:
CF = 16
Step-by-step explanation:
One if the properties of a parallelogram is that the diagonals of a parallelogram bisect each other. This implies that:
CF = ½ of CE
Since CE is given as 32, therefore:
CF = ½ of 32
CF = 16
Answer:
Equilateral and acute
Explanation:
Equilateral triangles refer to triangles where all side lengths are equal. Acute triangles are triangles where all angles are acute (less than
). Since each side length of the triangle is
, the triangle is an equilateral triangle. Due to the property of equilateral triangles where each angle is equivalent to
, we can conclude that this triangle is equilateral and acute.
Hope this helps :)
The area of the rectangle is ![5x^{2} -18x-8](https://tex.z-dn.net/?f=5x%5E%7B2%7D%20-18x-8)
Explanation:
One side of the rectangle is ![x-4](https://tex.z-dn.net/?f=x-4)
The another side of the rectangle is ![5x+2](https://tex.z-dn.net/?f=5x%2B2)
The formula to find the area of the rectangle is length × width
Area = length × width
Substituting the values, we have,
![\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctext%20%7B%20Area%20%7D%20%26%3D%28x-4%29%285%20x%2B2%29%20%5C%5C%26%3D5%20x%5E%7B2%7D%2B2%20x-20%20x-8%20%5C%5C%26%3D5%20x%5E%7B2%7D-18%20x-8%5Cend%7Baligned%7D)
Thus, the area of the rectangle is ![5x^{2} -18x-8](https://tex.z-dn.net/?f=5x%5E%7B2%7D%20-18x-8)