The answer to the question is 2:3
Answer:
10x - 8 or 2( 5x - 4)
Step-by-step explanation:
Perimeter of a rectangle = 2( Length + Width)
<u>Rectangle A </u>
Length = x + 8,
Width = x - 1


<u>Rectangle B</u>
Length = 4x + 5
Width = 3x - 2




Answer:
a and c
Step-by-step explanation:
The equation of a quadratic in vertex form is
f(x) = a (x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 5)² + 7 ← is in vertex form
Thus the function is quadratic → a
• If a > 0 then the grapg will open upwards
• If a < 0 then the graph will open downwards
Here a = 1 > 0 then graph will open upwards → c
Answer:
The distance between A and D to the nearest tenth is;

Explanation:
Given the two points;

Applying the distance between two points formula;
![d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
substituting the given coordinates we have;
![\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20AD%3D%5Csqrt%5B%5D%7B%28-3-6%29%5E2%2B%28-2-2%29%5E2%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B%28-9%29%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B81%2B16%7D%20%5C%5C%20AD%3D%5Csqrt%5B%5D%7B97%7D%20%5Cend%7Bgathered%7D)
Simplifying;

Therefore, the distance between A and D to the nearest tenth is;