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murzikaleks [220]
3 years ago
11

Write the equatoin for line that goes through point 12,15 with slope m=-2

Mathematics
1 answer:
sesenic [268]3 years ago
7 0
The equation is
y=-2(12)+15

the y intercept is b, therefore y, 15, is b

y =MX+b is slope intercept form
y=-2(12)+15
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3 years ago
A model rocket is launched directly upward at a speed of 50 meters per second from a height of 8 meters. The function f(t)=−4.9t
Gnoma [55]

Answer:

t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36

t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158

And since the time can't be negative we have that:

t= 10.36 seconds

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

Step-by-step explanation:

For this case we have the function of the height in terms of the time givenby:

h(t) = -4.9t^2 +50 t+8

And we want to known when the rockect hit the ground and for this case we need to solve the equation h=0

-4.9t^2 +50 t+8 =0

And as we can see we have a quadratic equation like this one:

ax^2 +bx+c

Where: a =-4.9 , b =50 c =8

And the general solutions are given by:

x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}

If we replace the values that we have we got:

t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36

t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158

And since the time can't be negative we have that:

t= 10.36 seconds

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

6 0
4 years ago
Hey help me with this no trolls
german

Answer:

Peytons car travels 14.8 miles less than Madeline's car in with one gallon

Step-by-step explanation:

peytons car uses 1 gal to travel 22.1 miles and Madeline's care uses 1 gal to travel 36.9. 36.9-22.1 = 14.8

ta da

6 0
3 years ago
Read 2 more answers
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