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;
Answer: D. Quadratic
Step-by-step explanation:
so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.
2 3/4 * 1 1/3
= 12 / 4 * 4/3
now multiply normally
= 48 / 12
divide this by 4/4 to get simplest for
= 12 / 3 divided by 3/3
= 4/1
Step-by-step explanation:
Answer:
The intersection point of the given lines is (1,1).
Step-by-step explanation:
Here, the given equations are:
y = - 2 x + 3
y = x
Substitute y = x in the first equation,
y = -2 x + 3 becomes y = -2 (y) + 3
or, y + 2 y = 3
or, 3 y = 3 ⇒ y = 3/3 = 1
⇒ y = 1
Now, as x = y ⇒ x = 1
Hence, the intersection points of the given lines is (1,1).
