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3 years ago

The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 32.

Mathematics

1 answer:

KengaRu [80]3 years ago

6 0

Answer:

y = 56

Step-by-step explanation:

given that x and y are proportional then

y = kx ← k is the constant of proportionality

to find k use the given condition y = 14 when x = 8

k = $\frac{y}{x}$ = $\frac{14}{8}$ = $\frac{7}{4}$ , thus

y = $\frac{7x}{4}$

when x = 32

y = $\frac{7(32)}{4}$ = 56

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3 years ago

Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−1

True [87]

Answer:

$\huge\boxed{y=-\frac{1}{7}x+ 10}$

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

Reciprocal of 7: $\frac{1}{7}$
Opposite of $\frac{1}{7}$ : $-\frac{1}{7}$

So the slope of this line will be $-\frac{1}{7}$ . The y-intercept will change, and we can substitute what we know into the equation $y=mx+b$ .

$y = -\frac{1}{7}x+b$

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

$8 = -\frac{1}{7} \cdot 14 + b$
$8 = -\frac{14}{7} + b$
$8 = -2 + b$
$b = 10$

Now that we know the y-intercept, we can finish off our equation by plugging that in.

$y = -\frac{1}{7}x + 10$

Hope this helped!

7 0

3 years ago

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Lines a and b are parallel. What is the measure of angle m?

Arisa [49]

Answer: 55 degrees

Step-by-step explanation:

180-125=55

125 and m make a half a turn which equals 180

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3 years ago

If a car travels 792 feet in 12 seconds what is the speed of the car in miles per hour?

UkoKoshka [18]

Answer:

Step-by-step explanation:

1 mile contains 5280 feet

x mile contains 792 feet Cross Multiply

5280 x = 792 Divide by 5280

x = 792 / 5280

x = 0.15 miles

1 hour = 3600 seconds

Distance travelled in 12 sec = 0.15 miles

3600 sec = x Cross Multiply

12x = 3600 * 0.15 Combine

12x = 540 Divide both sides by 12

12x/12 = 540/12

x = 45 miles / hour

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3 years ago

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