Answer: X= -9
Explanation:
Expand.
3(x+15)−6x=−6(x−3)
Simplify 3x+45-6x to -3x+45.
-3x+45−6x=−6x+18
Add 6x to both sides.
−3x+45=−6x+18
Simplify-3x+45+6x to 3x+45.
3x+45=18
Subtract 45 from both sides.
3x=18−45
Simplify 18-45 to -27.
3x=−27
Divide both sides by 3
X=-27/3
Simplify 27/3 to 9.
(X=-9)
Answer:
Step-by-step explanation:
Answer:
steps below
Step-by-step explanation:
f(x)=(x+6)²+3 ... Gray graph
horizontal shrink by a factor of 1/2: f(2x) = (2x+6)²+3 ... green
translation 1 unit down: f(2x)-1 = (2x+6)²+2 ... purple
reflection in the x-axis: g(x) = - ((2x+6)²+2) = - (2x+6)²-2 = -4(x+3) - 2 .. Red
parabola equation: y = a(x-h)² + k (h,k): vertex
vertex (-3 , -2)
Answer:
x=21
Step-by-step explanation:
x=9+12 x=21
*see attachment for missing diagram
Answer:
AC = 5 and BC = 5√3
Step-by-step explanation:
Given:
m<A = 60°
m<B = 30°
AB = 10
Required:
AC and BC
Solution:
Recall, SOH CAH TOA
✔️Find AC:
Reference angle (θ) = 30°
Hypotenuse = 10
Opposite = AC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 30° = AC/10
10*Sin 30° = AC
10*½ = AC (sin 30° = ½)
5 = AC
AC = 5
✔️Find BC:
Reference angle (θ) = 60°
Hypotenuse = 10
Opposite = BC
Apply SOH:
Sin θ = Opp/Hyp
Substitute
Sin 60° = BC/10
10*Sin 60° = BC
10*√3/2 = BC (sin 60° = √3/2)
5*√3 = BC
BC = 5√3