Answer:
k = -19/6
This picture should help you out.
First you distribute -4 among everything in the parenthesis. You will get -4k - 16.
Next you subtract 3 from -16, to get -19.
After that you add 4k to 2k, to get rid of -4k, and you get 6k.
So 6k = -19, and finally you divide 6 on both sides of the equal sign to get k = -19/6.
Hope this helped :)
Answer:
The equation would be y = 2x - 8
Step-by-step explanation:
The equation of the line would have a slope of 2, since parallel lines have the same slope. We can use that and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 2 = 2(x - 3)
y + 2 = 2x - 6
y = 2x - 8
Answer:
4 miles to the nearest mile.
Step-by-step explanation:
Circumference of the track = 2 pi r
= 2*pi*0.2 = 1.257 miles
Ellie ran 3 times around the track so
the distance she ran is 3* 1.257
= 4 miles
Answer:
Cosθ= -√2/3
Sinθ= -√7/3
tanβ= 4/3
Sinβ= 4/5
Cosβ= 3/5
sin(θ+β) = sin(θ)cos(β)+cos(θ)sin(β)
(-√7/3)(3/5) + (-√2/3)(4/5)
-√7/5 - 4√2/15
The given expression can be written as 
= (q+8)(q+4).
Step-by-step explanation:
Given,
To make it a complete square.
Formula
(a+b)² = 
Now,
= 
= (q+6)²-36+32
= (q+6)²-4
= (q+6)²-2²
= (q+6+2)(q+6-2)
= (q+8)(q+4)
