By expanding D it is clear that it is the factored form of 2/3x + 4
as 2/3x + 4 = 2/3x + 4*3/3
= 2/3x + (2*3)*(2/3). ( rearranging terms)
=2/3( x+ 2*3). ( taking 2*3 common)
=2/3( x + 6)
which is option D
hope it helped ^_^
Answer:7feet
Step-by-step explanation:
perimeter(p)=54ft
Width(w) +13=Length(L)
Perimeter=2xLength+2xwidth
P=2xL+2xw
L=w+13
54=2(w+13)+2w
54=2w+26+2w
Collect like terms
54-26=2w+2w
28=4w
Divide both sides by 4
28/4=4w/4
7=w
Width =7feet
Answer:
f(x) = 4x^2 + 2x - 4.
Step-by-step explanation:
Let the quadratic function be y = f(x) = ax^2 + bx + c.
For the point (-2, 8) ( x = -2 when y = 8) we have:
a(-2)^2 + (-2)b + c = 8
4a - 2b + c = 8 For (0, -4) we have:
0 + 0 + c = -4 so c = -4. For (4, 68) we have:
16a + 4b + c = 68
So we have 2 systems of equations in a and b ( plugging in c = -4):
4a - 2b - 4 = 8
16a + 4b - 4 = 68
4a - 2b = 12
16a + 4b = 72 Multiplying 4a - 2b = 12 by 2 we get:
8a - 4b = 24
Adding the last 2 equations:
24a = 96
a = 4
Now plugging a = 4 and c = -4 in the first equation:
4(4) - 2b - 4 = 8
-2b = 8 - 16 + 4 = -4
b = 2.
Answer:
dont know what grade your in but looks like u need to help me
Step-by-step explanation:
Answer:
x=17
Step-by-step explanation:
ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.
now we can set up the equation to find x like this:
29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)
x=17
