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horrorfan [7]
2 years ago
10

What is the equation of the line that passes through the point (-4, -7) and has a slope of 5/2 ?

Mathematics
1 answer:
ololo11 [35]2 years ago
4 0

Answer:

2y -5x=6

Step-by-step explanation:

Equation of a line is (y-y1) =m(x-x1)

(y+7) =(5/2)(x+4)

2(y +7) = 5(x+4)

2y +14 = 5x +20

2y - 5x = 6

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Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe
8090 [49]

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

7 0
2 years ago
An equation has solutions of m= -5 and m=9. Which would be the equation?
Aliun [14]

Answer:

There could be many but one of them is

(m+5)(m-9)=0....

7 0
3 years ago
Read 2 more answers
Please help ASAP! Only one question!!
levacccp [35]
It is negative because the plot is going down not up 
5 0
3 years ago
A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
3 years ago
Which graph can be used to find the solution(s) to x2-4x+4=2x+1+x2?
Damm [24]
The answer is x=1/2 or 0.5
4 0
3 years ago
Read 2 more answers
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