Answer:
x = - 1, y = 3 or (-1 , 3)
Step-by-step explanation:
x – 3y + 10 = 0 x = 3y - 10 ... plug in
x² + y² = 10
(3y-10)² + y² = 10
10y² - 60y +90 = 0
y² - 6y + 9 = 0
(y - 3)² = 0
y = 3
x = - 1
Answer:
t=0.64
Step-by-step explanation:
h = -16t^2 +4t +4
We want h =0 since it is hitting the ground
0 = -16t^2 +4t +4
Using the quadratic formula
a = -16 b = 4 c=4
-b ± sqrt( b^2 -4ac)
----------------------------
2a
-4 ± sqrt( 4^2 -4(-16)4)
----------------------------
2(-16)
-4 ± sqrt( 16+ 256)
----------------------------
-32
-4 ± sqrt( 272)
----------------------------
-32
-4 ± sqrt( 16*17)
----------------------------
-32
-4 ± sqrt( 16) sqrt(17)
----------------------------
-32
-4 ± 4 sqrt(17)
----------------------------
-32
Divide by -4
1 ± sqrt(17)
----------------------------
8
To the nearest hundredth
t=-0.39
t=0.64
Since time cannot be negative
t=0.64
If you don’t know what a number is, you should substitute it for x and make an equation with the information you have been given. This gives:
(x + 8) x 2 = x - 11
Then, solve:
2x + 16 = x - 11
2x = x -27
x = -27
This can then be checked by using the number in the original text.
-27 + 8 = -19
-19 x 2 = -38
-38 is 11 less than -27.
Hope this helps :)
Answer:
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Step-by-step explanation:
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