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vazorg [7]
3 years ago
12

If the line with the slope 5 that passes through the point (-1,3) intersects the x axis at a point, what are the coordinates of

this point?
Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer: (-8/5,0)

Step-by-step explanation: If the slope is 5, m = 5

For (-1,3) we have x₀= -1 and y₀ = 3, to find the line equation

y - y₀ = m(x - x₀)

y - 3 = 5(x - (-1))

y - 3 = 5(x + 1)

y - 3 = 5x + 5

y = 5x + 8

A P that intersects the x axis has y = 0

0 = 5x + 8

5x = -8

x = -8/5

P (-8/5,0)

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Can someone simplify (3x)^4
RSB [31]

Answer:

81x^4

Step-by-step explanation:

Apply the product rule to 3x

3^4x^4

Raise 3  to the power of  4

81x^4

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3 0
2 years ago
tiffany has breakfast at a restaurant and the cost of her meal is $27.00.because of the service.she wants to leave a 10% tip.wha
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3 0
2 years ago
Subtract: 5 – 3 1⁄3 . A. 2 1⁄3 B. 2 2⁄3 C. 3 1⁄3 D. 1 2⁄3
katovenus [111]
I would say 2 1/3
hope this helps
5 0
3 years ago
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Bob's truck averages 23 miles per gallon. If Bob is driving to his mother's house, 72 miles away, how many gallons of gas are ne
anyanavicka [17]

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

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multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

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divide both sides by 23 miles to isolate the g

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4 0
2 years ago
12 cos theta minus 16 sin theta is equal to zero find 2 sin theta + cos theta​
gayaneshka [121]

Answer:

2sinθ + cosθ = 2

Step-by-step explanation:

12 cos θ - 16 sinθ = 0

=> 3 cos θ -4 sin θ = 0

=> tanθ = 3/4

let P = 3x

B = 4x

=> H= 5x

=> sinθ = P/H = 3/5

cosθ = B/H = 4/5

2sinθ + cosθ

= 2× 3/5 + 4/5

= 6/5+4/5

= 10/5

= 2

=> 2sinθ + cosθ = 2

5 0
2 years ago
Read 2 more answers
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