Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
Answer:
6
Step-by-step explanation:
2y x 3x
3 over 5 x minus 15 = 6 over 5 x plus 12
3/5x - 15 = 6/5x +12
-3/5x+3/5x-15=6/5x-3/5x+12 subtraction property
-15=3/5x+12 simplified
-12-15=3/5x+12-12 subtraction property
-27=3/5x simplified
(5/3)(-27)=3/5 (5/3)x multiplicative inverse
-45=x
we are given
In a particularly sunny month, Solaire's solar panels generated 110 percent as much power as expected.
so, we need to change percent into fraction to get our value
we can write
110%=
now, we can simplify it
and we get
110%=
so,
Solaire's solar panels generate of the expected amount of power.............Answer
First find the radius of circle A. You know that the equation is r^2*pi, so just divide both by pi.
r^2*pi=16pi
/pi /pi
r^2=16
R is 4. That means that circle B is 2, since its radius is half that of circle A.
C=pi2r
C=pi2(2)
C=pi4
C=4pi
The answer is 4pi.
