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eduard
3 years ago
5

Write an equation in point-slope form of the line that passes through the point (4,7) and has a slope of -1.

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

y - 7 = - 1(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 1 and (a, b) = (4, 7) , thus

y - 7 = - (x - 4)

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Step-by-step explanation:

To  solve this problem you must apply the law of sines, as you can see below:

\frac{a}{sinA}=\frac{b}{sinB}

Where:

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A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12

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3 years ago
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What are the steps on finding common denominators. PLEASE HELP
Dmitrij [34]

Step-by-step explanation:

to find a common denominator, you have to find a number that "works" with every other number.

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Now list all your twelves

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to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.

So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.

now think about what you would multiply 4 by, to get to 12. The answer is

4 x 3 = 12

to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6

now you have your answer,

2/4 and 8/12 turns into

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and that's how you find it, let me know if you have questions :)

7 0
2 years ago
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3 years ago
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liubo4ka [24]
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</span>
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3 years ago
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Find the value of x<br><br>m&lt;2= 10x + 10<br>​
jarptica [38.1K]

Answer:  x = 12

<u>Step-by-step explanation:</u>

a) Linear Pair: 110° + ∠a = 180°  -->    ∠a = 70°

b) congruent sides implies congruent angles  --> ∠b = 70°

c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180

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d) Complimentary Angles: ∠c + ∠d = 90°

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∠2) Linear Pair: ∠d + ∠2 = 180°

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x) m∠2 = 130°

   10x + 10 = 130°

   10x        = 120

       x        = 12

 

3 0
3 years ago
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