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riadik2000 [5.3K]
3 years ago
13

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

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0

Equation is 2x + y = -4

Step-by-step explanation:

  • Step 1: Use the point slope form to get the equation. The point is (x1, y1) = (-4, 4) and slope, m = -2

Point slope Form ⇒ y - y1 = m(x - x1)

⇒ y - 4 = -2(x - -4)

⇒ y - 4 = -2(x + 4)

⇒ y - 4 = -2x - 8

⇒ 2x + y = -4 is the equation

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A force of 50 pounds is exerted at an angle of 80 with the horizontal. What is its horizontal component?
Shalnov [3]

Answer:

Option A is the correct answer.

Explanation:

 Any vector can be resolved in to two components. Horizontal component and vertical component.

Consider a vector F which is at angle θ⁰ to the horizontal, we can resolve this vector in to two.

Horizontal component = F cos θ

Vertical component = F sin θ

Here we have Force , F = 50 pounds

Angle with horizontal = 80°

Horizontal component = F cos θ = 50* cos 80 = 8.68 pounds

                                      ≅ 9 lb.

Option A is the correct answer.

6 0
3 years ago
How to solve it I'm not very good at math and I want to improve my grades
faltersainse [42]
With the first problem: You always divide from the left, then the rigth. 2+246/6 = 246/6=41 41+2=43
3 0
3 years ago
Read 2 more answers
Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?
solniwko [45]

ANSWER

a=9

EXPLANATION

The given quadratic equation is

{(x + 2)}^{2}  = a

If x=1 is a solution, then it must satisfy this equation:

{(1 + 2)}^{2}  = a

{3}^{2}  = a

a = 9

Therefore the value of 'a' is 9

4 0
3 years ago
Read 2 more answers
(50 POINTS) Write out each sum.
valentina_108 [34]

Step-by-step explanation:

12. n^2+2n

if you insert 1 for k and then work up by inserting 2 for k and adding those together and stoping at n.

13. 8-2(2^n)

if you insert 3 for k and then work up by inserting 4 for k and adding those together and keep on going but stopping at n.

Hope that helps :)

4 0
2 years ago
Carl has three lengths of cable,
elena-s [515]
Lowest common denominator for 3,4,6 is 12

5/6 = 10/12
1/4 = 3/12
2/3 = 8/12

a)
10/12 + 3/12 = 13/12 = 1 1/12
So you need to use first and second cables

b)
3/12 + 8/12 = 11/12
To reach 1 yard Carl need 1/12 yard cable
6 0
3 years ago
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