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Rudik [331]
3 years ago
13

2 Review Homework 2.2.4 Question Help A town has accumulated 5 inches of snow, and the snow depth is increasing by 5 inches ever

y hour. A nearby town has accumulated 7 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?​
Mathematics
1 answer:
aliina [53]3 years ago
5 0

Answer:

You need to find the equations for each scenario and set them = to each other

Step-by-step explanation:

A) S = 5t + 5

B) S = 7t + 2

Now set them = and solve for t

5t + 5 = 7t + 2

3 = 2t

t = 3/2 of an hr

To check plug in 3/2 into both equations and you should get same answer.

Hope this helps and never stop striving to learn more!

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On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).
mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

  • Same slopes
  • Different y-intercepts

The formula of the slope of a line which passes through points (x_{1},y_{1}) and (x_{1},y_{1}) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ x_{1} = -12 , x_{2} = 0

∴ y_{1} = -2 , y_{2} = -4

- Use the formula of the slope above to find the slope of the given line

∵ m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}

∴ The slope of the given line is \frac{-1}{6}

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = \frac{-1}{6}

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

  and b is the y-intercept (y when x = 0)

∵ m = \frac{-1}{6} and b = 6

∴ The equation of the parallel line is y = \frac{-1}{6} x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = \frac{-1}{6} (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0
3 years ago
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A 35 mm length of cable is cut into pieces that measure 1.25 meters each. Into how many pieces is the cable cut
AysviL [449]
HE'LL HAVE MORE THAN ENOUGH
8 0
3 years ago
Can a variable squared be combined with a variable
yanalaym [24]
Yes most likely a variable square can be combined with a variable I believe
7 0
2 years ago
How does f(x) = 5x change over the interval from x = 7 to x = 8?
hichkok12 [17]

Answer:

the slope is 5

Step-by-step explanation:

f(x) = 5x

f(8) = 5(8) = 40    (8,40)

f(7) = 5*7 = 35 (  7,35)

the slope is 5


4 0
3 years ago
Read 2 more answers
HELP!
Alexxx [7]

Answer:

LIMIT

The policy will pay for up to

$100,000 of damage to

another person's property.

The policy will pay only

$100 per incident for a

tow truck

DEDUCTIBLE

The policyholder must pay

the first $1,000 of repair

expenses before insurance

will pay for anything,

PREMIUM

The policy offers coverage

for a cost of $178 per month

The policyholder must

pay $500 semiannually

to the insurance provider

Step-by-step explanation:

LIMIT is the maximum amount an insurer will pay toward a covered claim

DEDUCTIBLE is the amount paid out of pocket toward a covered claim

PREMIUM is the amount paid regularly to keep the policy in force.

6 0
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