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stellarik [79]
4 years ago
11

3r+p=-8 and 2r + p = 22 2r+p=22

Mathematics
2 answers:
AVprozaik [17]4 years ago
7 0
(3r+p=-8)<span> + (2r + p = 22)
</span>Multiply second equation by -1
(3r+p=-8) + (-2r - p = -22)
Subtract 2r from 3r while subtracting p from p and -8 from -22
Final Answer: r= -30

3r+p=-8
Subsititue -30 for r
3(-30)+p=-8
Multiply -30 by 3
-90+p=-8
Add 90 to both sides
Final Answer: p=82

And so the point of intersection on the graph would be (-30,82)
babunello [35]4 years ago
7 0
We can eliminate p
multiply 2nd equation by -1 and add to first

3r+p=-8
<u>-2r-p=-22 +</u>
1r+0p=-30

r=-30
sub back

2r+p=22
2(-30)+p=22
-60+p=22
add 60 both sides
p=82



r=-30
p=82
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Answer:

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Step-by-step explanation:

Remember anything close to zero will always be greater in negative numbers. Example. -1>-2. Negative one is greater since it it closer to zero than 2.

4 0
3 years ago
use a(t)=-32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with
liberstina [14]

Answer:

  144 ft

Step-by-step explanation:

The speed decreases linearly by 32 ft/sec/sec, so will be zero after ...

  (96 ft/s)/(32 ft/s²) = 3 s

The average speed over that period is half the initial speed, so the distance covered between the ground and the maximum height is ...

  (3 s)(96 ft/s)/2 = 144 ft

_____

<em>Alternate solution</em>

The relationship between velocity and distance for a constant acceleration is ...

  v_f^{2}- v_i^{2} = 2ad

For an initial velocity of 96 ft/s, a final velocity (at the top of travel) of 0, and the given acceleration, we have ...

  d = \dfrac{v_f^{2}- v_i^{2}}{2a} = \dfrac{0-96^{2}}{2(-32)}= 144\,\dots\ \text{ft}

4 0
3 years ago
Read 2 more answers
I need to find the arc of GFE, next, I need to find the circumference AND area with a radius of 5 mm. Then the final questions a
Varvara68 [4.7K]

Arc GHE is 40 + 80 or 120 so arc GFE is 360 (total measurement in a circle) - 120 which is 240. The circumference of a circle is 2*pi*r so in this case it will be 2*pi*5 or 10pi (you can also write it as approximately 31.4). The area of a circle is pi*r² so it'll be pi*5² or 25pi (you can write it as approximately 78.5 also). The equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius. Input your values. The equation of this circle is (x+1)² + (y-2)² = 6² (The radis is 6 because the diameter is 12)

I hope this helps!

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Based on the graph, which of the following statements is true?
otez555 [7]
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4 0
3 years ago
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John, Rick, and Molli can paint a room working together in 6 hours. Alone, John can paint the room in 12 hours. If Rick works al
Tresset [83]

Answer:

\dfrac{1}{12}+\dfrac{1}{15}+\dfrac{1}{x}=\dfrac{1}{6}

60 hours

Step-by-step explanation:

John - 12 hours

Rick - 15 hours

Molli - x hours

Together - 6 hours

Each of them can paint:

John - \frac{1}{12} of a room per hour

Rick - \frac{1}{15} of a room per hour

Molli - \frac{1}{x} of a room per hour

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So the equation is

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Solve this equation:

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Molli can paint the room in 60 hours.

4 0
4 years ago
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