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krek1111 [17]
4 years ago
9

The point slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7=-2/5(x-10). what is the standard

form of the equation for this line?
A. 2x-5y=-15
B. 2x-5y=-17
C. 2x+5y=-15
D. 2x+5y=-17​
Mathematics
1 answer:
KIM [24]4 years ago
8 0

Option C

The standard form of the equation for y + 7 = -2/5(x - 10) is 2x + 5y = -15.

<u>Solution:</u>

Need to determine standard form of equation of line passing through points (-5, -1) and (10, -7) and having slope form as  y+7=-\frac{2}{5}(x-10)

Standard form of equation of line is such that terms having variables are on left hand side and constant terms on right hand side.

So let’s simplify given slope form.

y+7=-\frac{2}{5}(x-10)

On opening the brackets we get

y+7=\frac{-2 x+20}{5}

=> 5(y + 7) = -2x +20

=> 5y + 2x = 20 – 35

=> 2x +5y = -15

Hence the standard form is 2x + 5y = -15.

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Answer:

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Solve the equation? Help Please !!!?!?! 3-x/2&gt;12
Troyanec [42]

Answer:x<-18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

-1/2x+3>12

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-1/2x+3-3>12-3

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6 0
3 years ago
Lane is ten times Mel's age. if the difference in their age is 27, how old is Mel?
Digiron [165]

If one number is ten times the other one, then the big wide open space
between them with the wind blowing through it is the other nine times it.

The 27 years is 9 times Mel's age.

Mel is 27/9  =<em>  3 years old</em>.

Lane is (3 + 27)  =  30 years old.

Lane is  (30/3)  =  10 times Mel's age.
The difference is (30 - 3) = 27 years.

3 0
4 years ago
PLEASE HELP FAST!!!
rewona [7]

By <em>trigonometric</em> functions and law of cosines, the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.

<h3>How to find a missing variable associated to an angle by trigonometry</h3>

In this question we have a <em>geometric</em> system that includes a <em>right</em> triangle, whose missing angle is determined by the following <em>trigonometric</em> function:

sin (7 · x + 4) = 12/14

7 · x + 4 = sin⁻¹ (12/14)

7 · x + 4 ≈ 58.997°

7 · x = 54.997°

x ≈ 7.856

In addition, the <em>geometric</em> system also includes a <em>obtuse-angle</em> triangle and that angle can be also found by the law of the cosine:

7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)

17/32 = cos (7 · x + 4)

7 · x + 4 = cos⁻¹ (17/32)

7 · x + 4 ≈ 57.910°

7 · x ≈ 53.910°

x ≈ 7.701

Hence, we conclude that the value of x associated with a <em>missing</em> angle in the <em>geometric</em> system is between 7.701 and 7.856.

To learn more on triangles: brainly.com/question/25813512

#SPJ1

4 0
2 years ago
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