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:
20
Step-by-step explanation:
Simplify both sides of the equation.
−4=
r
20
−5
−4=
1
/20
r+−5
−4=
1
/20
r−5
Flip the equation.
1
/20
r−5=−4
Add 5 to both sides.
1
/20
r−5+5=−4+5
1
/20
r=1
Multiply both sides by 20.
20*(
1
/20
r)=(20)*(1)
r=20
Step-by-step explanation:
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Answer:
undefined
0
Step-by-step explanation:
The formula for slope is
m = (y2-y1)/ (x2-x1)
We have points
(-7,2) (-7,-7)
m = (-7-2) /(-7--7)
= -9/(-7+7)
= -9/0
This is undefined
We have points
(-8,-3) (6,-3)
m = (-3--3) /(6--8)
= (-3+3/(6+8)
= 0/14
0
