Answer:
1. 3; 2. 12; 3. 5; 4. 13; 5. 10; 6. 10
Step-by-step explanation:
We can use the distance formula to calculate the lengths of the line segments.
1. A (1,5), B (4,5) (red)
2. A (2,-5), B (2,7) (blue)
3. A (3,1), B (-1,4 ) (green)
4. A (-2,-5), B (3,7) (orange)
5. A (5,4), B (-3,-2) (purple)
6. A (1,-8), B (-5,0) (black)
5.
x + 2(x + 1) = 8 --> x = 2
y = 2 + 1 = 3
7.
3(9 + 2y) + 5y = 20 --> y = -7/11
x = 9 + 2(-7/11) = 85/11
9.
3(-1 - 2y) + 5y = -1 --> y = -2
x = -1 - 2(-2) = 3
All real numbers
Let's find the critical points of the inequality.
−4x+7=17
−4x+7+−7=17+−7(Add -7 to both sides)
−4x=10
−4x−1=10−1
(Divide both sides by -1)
4x=−10
4x=−10(Solve Exponent)
log(4x)=log(−10)(Take log of both sides)
x*(log(4))=log(−10)
x=log(−10)log(4)
x=NaN
370
50 + x = 420
x = 420 - 50
x = 370