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QveST [7]
3 years ago
10

. Write an equation of the line that passes through

Mathematics
1 answer:
irina [24]3 years ago
8 0

Answer:

y = 1/3 x + 4

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. The given line is

y = -3x + 7

which is already in the slope-intercept form, y = mx + b, where m is the slope.

The slope of the given line is -3.

The slope of the perpendicular is the negative reciprocal of -3 which is 1/3.

The line we are looking for has an equation of the form

y = 1/3x + b

We need to find b. We use the x- and y-coordinates of the given point as x and y in the equation above, and we solve for b.

y = 1/3x + b

5 = (1/3)(3) + b

5 = 1 + b

4 = b

Now that we know that b = 4, we replace b with 4 in the equation

y = 1/3x + b to get the answer.

Answer: y = 1/3 x + 4

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3 years ago
Five times five times five two and five times two and five
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The answer is 145. it was very counfusing at first
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What is the mode of this data set? 64°, 72°, 74°, 68°, 70°, 68°, 68°, 75°, and 44
butalik [34]

Hey there!

Mode is basically the number you see more than once,

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Your answer would be: 68 because it appeared approximately 3 times in this data set

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3 years ago
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Jeremy is driving to a friend's house that is 72 miles away from his home. The scale on Jeremy's map is 1/2 inch is equivalent t
elena-s [515]

Answer:

Jeremy's house is 4.5 inches far from his friend's house on the map

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The house of Jeremy's friend is 72 miles away from his home

∴ The actual distance between the two houses is 72 miles

∵ The scale on Jeremy's map is \frac{1}{2} inch is equivalent to 8 miles

∴ Each \frac{1}{2} miles on the map represents actual distance 8 miles

By using the ratio method

→  Map length  :  Actual length

→  inch               :  miles

→  \frac{1}{2}                     :  8

→  x                     :  72

By using cross multiplication

∵ x × 8 = \frac{1}{2} × 72

∴ 8 x = 36

- Divide both sides by 8

∴ x = 4.5

x represent the distance between the two houses on the map

Jeremy's house is 4.5 inches far from his friend's house on the map

6 0
3 years ago
Erik buys carrots and dip for a class snack. The carrots are $3.80, and the dip is$2.60. Erik has a coupon for 5% off his grocer
Leya [2.2K]
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6.40$ - .32=6.08subtract the percent of the coupon to find the total bill of erik
20$ - 6.08=13.92$ subtract the money that erik needs to the 20$ 
13.92$ would be the change that erik receive back
5 0
4 years ago
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