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Hunter-Best [27]
3 years ago
8

Find an equation of the line that passes through the given point and has the indicated slope m.

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

y = \frac{4}{5} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{4}{5} , thus

y = \frac{4}{5} x + c ← is the partial equation

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = \frac{4}{5} x + 2 ← equation of line in slope- intercept form

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Ivana and Gloria are sisters. Gloria is
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Answer:

11 years old

Step-by-step explanation:

3 years ago, Gloria was 32 years old

If Ivana's age is = x

Then, 4x = 32

            x = 8

3 years ago, Ivana was 8 years old

So now she is 11 years old.

4 0
3 years ago
a vehicle uses 1 1/8 gallons of gas to travel 13 1/2 miles. at this rate how many miles can the vehicle travel per gallon of gas
elena55 [62]

Answer:

The vehicle can travel 12 miles per gallon of gas.

Step-by-step explanation:

  • The number of gallons used by a vehicle = 1 1/8 gallons

i.e.

1\frac{1}{8}=\frac{9}{8} gallons

  • The number of miles traveled by a vehicle = 13 1/2 miles

i.e.

13\frac{1}{2}=\frac{27}{2} miles

Thus,

Total Gallons =9/8 gallons

Total Distance in miles = 27/2 miles

Hence:

Unit Rate = [27/2 miles] / [9/8 gallons]

                = 12 miles per gallons  ∵ \frac{27}{2}\div \frac{9}{8}=12

   

Therefore, the vehicle can travel 12 miles per gallon of gas.

8 0
3 years ago
Find the distance between the lines: x = -7 and x=23
Crank

Answer: 30 (units)

Step-by-step explanation: |-7|+|23|=30

8 0
3 years ago
PLEASE HELP This is solving Exponential and Logarithmic Equations I got the other ones, but I don’t even know what this says to
QveST [7]

Answer:

Step-by-step explanation:

We have

e^\frac{x}{2}^l^n^3 = 5\\

ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)}    \\x = \frac{2ln(5)}{ln(3)}

x = 2.929947041

to the third decimal is 2.930 (i might be wrong on the rounding part)

7 0
3 years ago
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