Answer:
The vertex is (2,-16)
Step-by-step explanation:
We know that the vertex is 1/2 way between the zeros
f(x) = (x - 6)(x + 2)
0 = (x-6) (x+2)
x-6 = 0 x+2 =0
The zeros are at 6 and -2
(6+-2)/2 = 4/2 = 2
The x coordinate of the vertex is at x=2
To find the y value substitute into the equation
f(x) = (2 - 6)(2 + 2)
= -4 *4
= -16
The vertex is (2,-16)
The square root of 196 is 14.
Therefore, one of the sides is 14 ft.
The perimeter is 14 x 4= 56 feet.
Answer:
1. terms: 4r, 2, -6, and 3r like terms: 2 and -6, 4r and 3r
2.terms: 5h^2, -3h^2, - 4h, 3h, 7 like terms: 5h^2 and -3h^2, - 4h and 3h
3. 3m + 6
4. 15b + 2
5. 3x + 9
Step-by-step explanation:
1. 4r + 2 - 6 +3r
terms: 4r, 2, -6, and 3r like terms: 2 and -6, 4r and 3r
2. 5h^2 - 3h^2 - 4h + 3h + 7
terms: 5h^2, -3h^2, - 4h, 3h, 7 like terms: 5h^2 and -3h^2, - 4h and 3h
3. 6m + 7 - 3m-1
3m + 6
4. 3(5b +2) - 4
15b + 6 - 4
15b + 2
5. 2x + 4 + 5 + x
3x + 9
X over .82 = 8 over 100
cross multiply .82 by 8
.82×8=6.56
divide 6.56 by 100.
6.56÷100=.0656
round to 7
.07
add .82 to .07.
.82+.07= .89
the candy bar cost $0.89
Hope this helped. : )
Since the angles two and four are vertical they have to equal each other so you put that in an equation and solve for x:
7x+7=140
-7 -7
7x=133 divide both sides by 7
x=19
Since angles 3 and 4 have to equal 180 to make a straight line they have to add together and equal 180 and solve for y:
5y+140=180
-140 -140
5y=40 divide both sides by 5
y=8
So your answer is x=19 and y=8