Slope: 7 given point: (1,8)
y = 7x + b step 1 - plug in the slope in the formula
8 = 7(1) + b step 2 - plug in the given point
8 = 7 + b step 3 - simplify the expression
b = 1 step 4 - solve for b
y = 7x + 1 step 5 - plug in b
formula: y = 7x + 1
Answer:
192000 J
Step-by-step explanation:
k = 1/2 mv²
48000 = 1/2 x m x (20)²
48000 = 200m
m = 240 kg
new k
k = 1/2 x 240 x 40²
k = 192000 J
Answer:
Step-by-step explanation:
-10<x≤8
Answer:
∠3 = 60°
Step-by-step explanation:
Since g and h are parallel lines then
∠1 and ∠2 are same side interior angles and are supplementary, hence
4x + 36 +3x - 3 = 180
7x + 33 = 180 ( subtract 33 from both sides )
7x = 147 ( divide both sides by 7 )
x = 21
Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°
∠ 2 and ∠3 are alternate angles and congruent, hence
∠3 = 60°