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o-na [289]
2 years ago
7

What is the equation of a line passing between the points below? (-3,1) (5,-7)

Mathematics
1 answer:
kirill [66]2 years ago
4 0

Answer:

Ax + Ay + 2A = 0 for any nonzero A, for example (A=1): x + y + 2 = 0

Step-by-step explanation:

The equation of a line is

Ax + By + C = 0

so we know that:

A*-3 + B*1 + C = 0

A*5 + B*-7 + C = 0

Let's subtract one from the other:

A*(-3 - 5) + B*(1 + -7) = 0

A*-8 + B*8 = 0

B*8 = A*8

B = A

Let's input B = A into the first two equations

A*-3 + A*1 + C = A*-2 + C = 0

A*5 + A*-7 + C = A*-2 + C = 0

checks out

C = 2A

So for any nonzero A the equation of

Ax + Ay + 2A = 0 produces a line passing between the points. Example would be

x + y + 2 = 0

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Michelle is making a scale model of her favorite car. The actual car is 8 feet long and 4 feet wide. Michelle wants her model to
AfilCa [17]

Answer:

6 inches

Step-by-step explanation:

It is given that :

Length of the actual car = 8 feet

Width of the actual car is = 4 feet

Michelle is making a model of her car.

The length of her model car  = 12 inches

Therefore, the ration is 3 : 2

So the width of the model car = 4 x 3/2

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7 0
3 years ago
Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
Which graphs display a directly proportional relationship? Check all that apply.
Vedmedyk [2.9K]
The one that goes from corner to corner......i think if i get it wrong sorry
8 0
3 years ago
Read 2 more answers
Help,please,thankyou ​
Pavel [41]

Answer:

C.

Step-by-step explanation:

6 0
3 years ago
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∠A and \angle B∠B are complementary angles. If m\angle A=(6x+3)^{\circ}∠A=(6x+3)
Wewaii [24]

Answer:

Step-by-step explanation:

The angles are complimentary, so they add to 90

6x + 3 + 7x + 9 = 90             Combine like terms

13x + 12 = 90                         Subtract 12 from both sides

13x = 90 - 12                          Combine

13x = 78                                 Divide both sides by 13

x = 6

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<A = 39

8 0
2 years ago
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