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Bumek [7]
2 years ago
13

Is this point (20, 13) on this line? Explain your reasoning.

Mathematics
2 answers:
sergiy2304 [10]2 years ago
8 0

Answer:

Yes

Step-by-step explanation:

Point (20,13) fits on the line y=1/2x+3

You can prove this by plugging in the x and y values.

13=1/2(20) +3

1/2(20)=10

13=10+3

13=13

Therefore (20,13) fits on the line

Aleks04 [339]2 years ago
5 0

Answer:

Yes, point (20,13) is on the line, the same slope and y-intercept.

Step-by-step explanation:

y-intercept of the line = 3

Slope of the line = 1/2

Point (20, 13)

y-intercept of (point (20,13) with slope 1/2 =

13 - (1/2)(20) = 13 - 10 = 3

y-intercept= 3

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3 years ago
Mark made a business trip of 259.5 miles. He averaged 59mph for the first part of the trip and 57mph for the second part. If the
max2010maxim [7]

Answer:

Step-by-step explanation:

d = r * t

Let the time at 59 miles /  hour be t

59*t + 57* (4.5 - t) = 259.5              Remove the brackets

59*t + 256.5 - 57*t = 259.5            Combine the left

2t + 256.5 = 259.5                         Subtract 228 from both sides

2t = 259.5 - 256.5                          Combine

2t =  3                                              Divide by 2

t = 1.5

So he spent 1.5 hours going at 59 miles per hour

He spent 4.5 - 1.5 = 3 hours going 57 miles per hour.

                               

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2 years ago
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3 years ago
Read 2 more answers
7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

5 0
2 years ago
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