Answer:
84°
Step-by-step explanation:
1. <u>point of intersection of 2y=x-13 and 3y+x+12=0</u>
x = 2y + 13 ==> 3y + (2y+13) + 12 = 0 ==> 5y + 25 = 0 ==> y = -5
x = 2*(-5) +13 = 3
point of intersection: (3 , -5) L1: pass (3 , -5) and (-4 , -7)
slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7
L2 pass (3 , -5) perpendicular to 2x-5y=4
2x-5y=4 ==> y = 2/5 x - 4 slope = 2/5
so slope of L2 = -5/2
angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|
==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75
Θ = 84°
Step-by-step explanation:
i am trying to solve it but how
many chocolate were there in a box
2x^2 + 14x = -12
Step 1: Subtract -12 from both sides.
2x^2 + 14x - (-12) = -12 - (-12)
2x^2 + 14x + 12 = 0
Step 2: Factor the left side of the equation.
2(x + 1)(x + 6) = 0
Step 3: Set Factors equal to 0.
x + 1 = 0 or x + 6 = 0
x = -1 or x = -6
Answer:
x = -1 or x = -6
Hope this helps. : )
Your answer should be 2x+5 if you are supposed to simply the expression
