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Serga [27]
1 year ago
6

What is the equation of the line that passes through the point (4. -2) and has a slope of 5/4?

Mathematics
1 answer:
KIM [24]1 year ago
7 0

Answer:

y = 5/4 x - 7

Step-by-step explanation:

y - y1 = m(x - x1)

y + 2 = 5/4 (x - 4)

y + 2 = 5/4 x - 5

y = 5/4 x - 7

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9 1/2 divided by 3 7/10
OleMash [197]

Solution:

<u>Convert the fractions into improper fractions and solve.</u>

  • 9 1/2 ÷ 3 7/10
  • => 19/2 ÷ 37/10
  • => 19/2 x 10/37
  • => 19 x 5/37
  • => 95/37

<u>Convert the fraction into mixed fraction (Not required):</u>

  • => 95/37 = 37/37 + 37/37 + 21/37
  • => 1 + 1 + 21/37
  • => 2 + 21/37
  • => 2 21/37

The solution to the problem is 2 21/37.

8 0
2 years ago
Read 2 more answers
Monique borrows $5000 at 5.5% interest compounded daily for 29 days. How much will she owe at the end of 29 days?
slega [8]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed

From the information given,

P = 5000

r = 9

5.5% = 5.5/100 = 0.055

Assuming they are 365 days in a year

n = 365 because it was compounded 52 times in a year.

t = 29/365 = 0.0794

Therefore,

A = 5000(1 + 0.055/365)^365 × 0.0794

A = 5000(1 + 0.00015)^29

A = 5000(1.00015)^29

A = $5022

7 0
3 years ago
A ball falls from a window. Its height, as a function of time, is modeled by y=-4.9x2 + 12. Which statement best describes the f
ankoles [38]

Answer:The function is nonlinear

Step-by-step explanation:

Took the test made a 100

5 0
3 years ago
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Find the solution of the equation. 6(3x - 7.2) = 25.2 *
Kaylis [27]
The answer is D. x = 3.8
6 0
3 years ago
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Based on the picture below:<br><br> Solve for AB
Fiesta28 [93]

Answer:

AB ≈ 35.93

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos3.5° = \frac{adjacent}{hypotenuse} = \frac{AB}{AC} = \frac{AB}{36}

Multiply both sides by 36

36 × cos3.5° = AB, thus

AB ≈ 35.93 ( to 2 dec. places)

3 0
3 years ago
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