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zloy xaker [14]
3 years ago
13

Write an equation in slope intercept form for the line with slope -2 and y intercept-5

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer:

Y=-2x-5

Step-by-step explanation:

Y=Mx + b where m is the slope and b is the y intercept

y=-2x-5

brainliest is appreciated

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A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function
dexar [7]
Here's our equation.

h=-16t+64t+3

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a}  \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16}  = \frac{64\±\sqrt{4096+192}}{32}

= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}

So the ball will return to the ground at the positive value of \boxed{\frac{8+\sqrt{67}}{4}} seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2

h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}


8 0
3 years ago
Ratio of boys to girls is 3 to 4, the team has 70 members. How many are boys.
elena-14-01-66 [18.8K]
There is 30 boys
 and 40 girls
5 0
3 years ago
Read 2 more answers
A rectangle's length is seven times its width. The perimeter of the rectangle is one hundred sixty feet.
Arada [10]

Answer:

Area=700 square ft

4 0
3 years ago
There were a total of 209 basketball games in the season the season played is for 19 months how many basketball games were playe
dangina [55]

Answer:

11

Step-by-step explanation:

divide 209 by 19 to get an equal number of games each month (for 19 months), you will get 11 games each month.

6 0
3 years ago
Read 2 more answers
In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Butoxors [25]

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

4 0
2 years ago
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