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nadya68 [22]
2 years ago
10

Find the equation of the line. Through (-11, -1); perpendicular to y=15.

Mathematics
2 answers:
Harrizon [31]2 years ago
7 0

Answer:

x = - 11

Step-by-step explanation:

y = 15 is a horizontal line parallel to the x- axis

a perpendicular line must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

the line passes through (- 11, - 1 ) with x- coordinate of - 11 , then

x = - 11 ← equation of perpendicular line

Semmy [17]2 years ago
6 0

Answer:

x = -11

Step-by-step explanation:

The line y = 15 is a horizontal line to the x-axis passing which passes through x = 0, y = 15

The line perpendicular to y = 15 passing through (-11, -1) is a vertical line where x = -11 for all values of y including -1

So the equation is x = -11

See attached graph

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One number is 10 less than 5 times the second number. Their sum is 26. Find the numbers.
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Answer:

Step-by-step explanation:

a = 5b-10

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4 years ago
When planning his crops, Farmer Tim knows that his 7 acres can support peas and carrots. He wants to make $7,000 from his crops.
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This is the concept of algebra, we are required to get the equation that would be a constraint in the system of equation,
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On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 3), a
Andrei [34K]

Answer:

The minimum total distance the employee may have driven before getting stuck in traffic is 8.3 miles

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of the distance between to points (x_{1},y_{1})

  and (x_{2},y_{2}) i s d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

- So at first we will find the distance between the three points

∵ A = (-3 , 1) , B = (3 , 3) , C = (3 , -1)

- By using the rule of distance

∴ AB=\sqrt{(3--3)^{2}+(3-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325

∴ BC=\sqrt{(3-3)^{2}+(-1-3)^{2}}=\sqrt{0+16}=4

∴ AC=\sqrt{(3--3)^{2}+(-1-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325

∵ Each unit coordinate plane represents 1 mile

∵ AB = 6.3 units

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∵ BC = 4 units

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∴ The distance between branches A and C = 6.325 miles

- A bank employee drives from Branch A to Branch B and then

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∵ The distance from branch A to branch B is 6.325 miles

∵ The distance from branch B to branch C is 4 miles

∵ The half way from branch B to branch C = 1/2 × 4 = 2 miles

∴ The distance the employee may have driven before getting

   stuck in traffic = 6.325 + 2 = 8.325 miles

∴ The minimum total distance the employee may have driven

   before getting stuck in traffic is 8.3 miles

8 0
3 years ago
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