In order to check a solution, just plug in the coordinates. The 1 is x, and the -1 is the y. Just plug the numbers in and see if it works out:
y = 3x + 2
(-1) = 3(1) + 2
-1 = 5
-1 is NOT equal to 5, so (1, -1) is NOT a solution of y = 3x + 2.
The distance between (3, 2) and (-3, -6) is 10 units
The correct answer is B) 10
Further explanation:
Given points are:
(x1,y1) = (3,2)
(x2,y2)=(-3,-6)
The distance formula is given by:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Putting the values
![d=\sqrt{(-3-3)^2+(-6-2)^2}\\=\sqrt{(-6)^2+(-8)^2} \\=\sqrt{36+64}\\ =\sqrt{100}\\d=10](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-3%29%5E2%2B%28-6-2%29%5E2%7D%5C%5C%3D%5Csqrt%7B%28-6%29%5E2%2B%28-8%29%5E2%7D%20%5C%5C%3D%5Csqrt%7B36%2B64%7D%5C%5C%20%3D%5Csqrt%7B100%7D%5C%5Cd%3D10)
The distance between (3, 2) and (-3, -6) is 10 units
Keywords: Magnitude, Distance
Learn more about magnitude at:
#LearnwithBrainly
18 students scored 80%
22 students scored 70%
((18 × .8) + (22 × .7)) ÷ .4
(14.4 + 15.4) ÷ .4
(29.8) ÷ .4
74.5
The average score of the whole class was 74.5
Is to long to explain so I'm doing quite
find the triangle side so 2.1 square minus 1.4 square it is equal to 2.45
now you just multiple 2.45 by 2 because if you notice 2.45 is the triangle side that is missing and this is only the half so multiple by 2 for get the X value, I hope this helps you.