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Elanso [62]
3 years ago
8

Find the equation of the line through the point (4,-1) and perpendicular to y =x + 2

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

Answer is x+y-3=0

Step-by-step explanation:

given \\ passing \: through(4, - 1) \\ given \: equation \: is \: perpendicular \: to \: y = x  + 2 \\ x - y  + 2 = 0 \\ slope \: of \: the \: equation = 1 \\ when \: it \: is \: perpendicular \: slope \: becomes \:  - 1 \\ the \: equation \: is \\ y - y1 = m(x - x1) \\ x1 = 4 \:  \:  \:  \: y1 =  - 1 \:  \:  \:  \:  \:  \: m =  - 1 \\ o n \: substituting \: the \: values \\ y  + 1 =  - 1(x - 4) \\ y + 1 =  - x + 4 \\ x + y - 3 = 0

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I dont know what to do lol
atroni [7]

Answer:

15 units

Step-by-step explanation:

The distance between two points can be found using the following formula:

d\sf=\sqrt{(x_2-x_1)+(y_2-y_1)}

Given points:

(-7, 5) and (2, -7)

<u>where:</u>

  • x₁ = -7
  • x₂ = 2
  • y₁ = 5
  • y₂ = -7

Substitute these points into the formula and simplify:

\sf d=\sqrt{(2-(-7))^2+((-7)-5)^2} \ \textsf{[simplify the radicand]}\\\\ d=\sqrt{(2+7)^2+(-12)^2} \ \textsf{[simplify]}\\\\d=\sqrt{(9)^2+(-12)^2} \ \textsf{[evaluate the power]}\\\\d=\sqrt{81+144} \ \textsf{[add]}\\\\d=\sqrt{225}\ \textsf{[simplify]}\\\\d=15

The distance between the two points is 15 units.

Learn more here:

brainly.com/question/27708708

brainly.com/question/21152362

8 0
2 years ago
Which figures can have two sides of the same length, but are not parallelograms ?quadrilateral rectangle square isosceles trapez
Viktor [21]

Answer:

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Step-by-step explanation:

5 0
4 years ago
A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until
IrinaK [193]

Answer:

the mle of P=0.833

Step-by-step explanation:

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And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

3 0
3 years ago
Amber is saving her money for new figure skates. They cost $149.99. She gets $20 a week allowance and babysits for 2 hours a wee
maksim [4K]
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28.50w < = 149.99
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7 0
3 years ago
Please help and explain how to do this I don't understand it thank you
Mazyrski [523]
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5 0
3 years ago
Read 2 more answers
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