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ivann1987 [24]
3 years ago
13

Jennifer has 84 yards of fabric. She makes 6 identical curtains and has 18 yards of fabric left over. Which equaton and solution

shows the correct amount yards, y, she used per curtain?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

a) 6x + 18 = 84

b) 11 yards

Step-by-step explanation:

a) You have that Jennifer made 6 identical curtains. If you chose x as the number of yards of fabric used for one curtain, you have that the total number of yards in the 6 curtains o fabric is

6x

Furthermore, if you sum 18 yards to the 6x yards, the total amount of yards must be 84. Thus, you have the following equation:

6x+18=84

b) Next, you solve the equation for x:

6x+18=84\\\\6x=84-18\\\\6x=66\\\\x=\frac{66}{6}=11

Then, 11 yards were use to make each curtain.

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Write an equation in point-slope form of the line that passes through (-4,1) and (4,3).
Step2247 [10]

Answer:

An equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

Step-by-step explanation:

Given the points

  • (-4,1)
  • (4,3)

Finding the slope between the points (-4,1) and (4,3)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:3\right)

m=\frac{3-1}{4-\left(-4\right)}

Refine

m=\frac{1}{4}

Point slope form:

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

in our case,

  • m = 1/4
  • (x₁, y₁) = (-4,1)

substituting the values m = 1/4 and the point (-4,1) in the point slope form of line equation.

y-y_1=m\left(x-x_1\right)

y-1=\frac{1}{4}\left(x-\left(-4\right)\right)

y-1=\frac{1}{4}\left(x+4\right)

Thus, an equation in point-slope form of the line that passes through (-4,1) and (4,3) will be:

y-1=\frac{1}{4}\left(x+4\right)

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Answer:

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Step-by-step explanation:

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ACD = 90 degree

DE+ DCB are complimentary angles they add up to 90 they dont need to be next to each other.

DE = 53 deg

DCB = 90-53= 37 degree

g = 37 and F is its vertical angle as they share the same corner point and lay opposite each other and each have same angle 37 degree.

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Answer:

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