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Fiesta28 [93]
3 years ago
15

Write a point slope form equation and slope intercept equation. Passes through (-1,-6), slope= -4

Mathematics
1 answer:
zavuch27 [327]3 years ago
3 0

Answer:

The point-slope form would be y + 6 = -4(x + 1) and the slope-intercept form would be y = -4x - 10

Step-by-step explanation:

In order to find the point-slope form, you simply need to put the point and the slope into the base form.

y - y1 = m(x - x1)

y - -6 = -4(x - -1)

y + 6 = -4(x + 1)

Now to find the slope-intercept, simply solve for y.

y + 6 = -4(x + 1)

y + 6 = -4x - 4

y = -4x - 10

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A 10 foot tree create a shadow that is 15 feet long. Find the angle of elevation of the sun
Solnce55 [7]

Answer:

The angle of elevation of the sun is 33.7⁰

Step-by-step explanation:

let the height of the tree, T = 10 foot

length of the shadow created by the tree, B = 15 feet long

Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.

Let the remaining side, hypotenuse, L = ?

Apply Pythagoras theorem;

L ² = T² + B²

L ² = 10² + 15²

L ² = 325

L = √325

L = 18.03 ft

The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.

Let the angle of elevation = θ

tan θ = opp / adj

tan θ  = 10 / 15

tan θ  = 0.66667

θ = tan ⁻¹ (0.66667)

θ = 33.7⁰

Therefore, the angle of elevation of the sun is 33.7⁰

5 0
4 years ago
Item 17
ValentinkaMS [17]

Answer:

h=v/B

Step-by-step explanation:

you didn't give me any measurements so I can't solve the hight

hope this helps

8 0
3 years ago
Using quadratics, find the value of x. ​
Iteru [2.4K]

Answer:

(x+1)+(3x+1)+(2x+4)=180 (sum od all sode of a triangle is 180)

x+1+3x+1+2x+4=180

6x+6=180

6x=180-6

x=174/6

x=66

4 0
3 years ago
Read 2 more answers
The cost of admission to an amusement park is $9.50 plus $1.50 per ride. What would the cost be for someone who went on 9 rides?
Lerok [7]
1.50 x 9= 13.50 the price of rides times the number of rides
13.50 + 9.50 = 23.00 the total price of rides plus addmission
the answer is 23.00 dollars!
7 0
3 years ago
Find the equation of the linear function represented by the table below in slope-
mixer [17]

Answer:

y= -5x-5

Step-by-step explanation:

because m=y2-y1/x2-x1 and then you plug in one of the point to find the y intercept or b and the answer you should get is -5 for be so it ends up being y= -5x-5

7 0
3 years ago
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