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Step2247 [10]
3 years ago
10

Find the equation of the line through the given pair of points. (-7,-6) and (-4,9)

Mathematics
1 answer:
Softa [21]3 years ago
6 0

Answer:

y=5x+29

Step-by-step explanation:

1. find slope

y2-y1/x2-x1

9--6/-4--7= 15/3=5

2. substitute x and y

(-4, 9)= 9=5(-4)+b

            9=-20+b

             29=b

3. put it together

y=5x+29

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0.00432 km = _____ mm
navik [9.2K]
Your answer is 4320 Milimeters :)
6 0
3 years ago
If f(x) =5x-25 and g(x) = (1/5)X+5, which expression could be used to verify g(x) is the inverse of f(x)
mina [271]
Answer:
f(g(x)) = x

Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other. 
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
          = x + 25 - 25
          = x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Write the slope-intercept form of the equation of the line.<br>​
Vilka [71]

Answer:

I guess its 2/2.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In triangle $ABC$, let angle bisectors $BD$ and $CE$ intersect at $I$. The line through $I$ parallel to $BC$ intersects $AB$ and
Umnica [9.8K]

Answer:

41

Step-by-step explanation:

If you work through a series of obscure calculations involving area and the radius of the incircle, they boil down to a simple fact:

... For MN║BC, perimeter ΔAMN = perimeter ΔABC - BC = AB+AC

.. = 17+24 = 41

_____

Wow! Thank you for an interesting question with a not-so-obvious answer.

_____

<em>A little more detail</em>

The point I that you have defined is the incenter—the center of an inscribed circle in the triangle. Its radius is the distance from I to any side, such as BC, for example.

If we use "Δ" to represent the area of the triangle and "s" to represent the semi-perimeter, (AB+BC+AC)/2, then the incircle has radius Δ/s. The area Δ can be computed from Heron's formula by ...

... Δ = √(s(s-a)(s-b)(s-c)) . . . . where a, b, c are the side lengths

For this triangle, the area is Δ = √38480 ≈ 196.1632 units². That turns out to be irrelevant.

The altitude to BC will be 2Δ/(BC), so the altitude of ΔAMN = (2Δ/(BC) -Δ/s). Dividing this by the altitude to BC gives the ratio of the perimeter of ΔAMN to the perimeter of ΔABC, which is 2s.

Putting these ratios and perimeters together, we get ...

... perimeter ΔAMN = (2Δ/(BC) -Δ/s)/(2Δ/(BC)) × 2s

... = (2/(BC) -1/s) × BC × s = 2s -BC

... perimeter ΔAMN = AB +AC

8 0
3 years ago
\left(x+3,\ y-6\right).
erastovalidia [21]
Say left is your mom and that would mean the answer would be 38922938829
3 0
2 years ago
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