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1 year ago

What is an equation in point-slope form for the line perpendicular to y = 7x + 14 that contains (3, –7)?

Mathematics

1 answer:

umka21 [38]1 year ago

8 0

The equation of the perpendicular line is y + 7 = -1/7(x - 3)

<h3>How to determine the line equation?</h3>

The equation is given as

y = 7x + 14

Also, from the question

The point is given as

Point = (3, -7)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 7

This means that the slope of y = 7x + 14 is 7

So, we have

m = 7

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/7

The equation of the perpendicular lines is then calculated as

y = m(x - x₁) +y₁

Where

m = -1/7

(x₁, y₁) = (3, -7)

So, we have

y = -1/7(x - 3) - 7

Evaluate

y = -1/7(x - 3) - 7

Add 7 to both sides

y + 7 = -1/7(x - 3)

Hence, the perpendicular line has an equation of y + 7 = -1/7(x - 3)

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3 years ago

Find x A. 212√2 B. 212–√ C. 213√2 D. 7

victus00 [196]

The value of x in the triangle is (d) 7

<h3>How to solve for x?</h3>

The complete question is in the attached image.

From the attached image of the triangle, we can see that the triangle is a right triangle, and x can be solved using the following sine function

$\sin(45) = \frac{x}{7\sqrt 2}$

Evaluate sin(45)

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Solve for x

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Divide

x = 7

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2 years ago

Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an

alexdok [17]

Answer:N/B The amount is in thousands

The total amount earned by a Bachelor's person be $x:

amount earned by a masters person will be $(2x-38)

Total amount earned by the two individuals will be:

x+(2x-38)=115

solving for x we get:

x+2x-38=115

3x=115+38

3x=153

x=153/3

x=51

also:

2x-38=2*51-38=64

therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

Step-by-step explanation:plzzzzz give brainleyest

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3 years ago

PLEASE HELP

stira [4]

Answer:

The values of x and y are x = 3 and y = 11

Step-by-step explanation:

The isosceles triangle has two equal sides in length, and its base angles are equal in measures

In ΔJKL

∵ ΔJKL is an isosceles triangle with vertex K

→ That means the equal sides are JK and KL

∴ JK = KL

∵ JK = 8x and KL = 13x - 15

→ Equate them

∴ 13x - 15 = 8x

→ Add 15 to both sides

∵ 13x - 15 + 15 = 8x + 15

∴ 13x = 8x + 15

→ Subtract 8x from both sides

∵ 13x - 8x = 8x - 8x + 15

∴ 5x = 15

→ Divide both sides by 5 to find x

∴ x = 3

∵ K is the vertex of the ΔJKL

∴ ∠KJL and ∠KLJ are the base angles

∵ The base angles are equal in measures

∴ m∠KJL = m∠KLJ

∵ m∠KJL = 5y - 3

∴ m∠KLJ = 5y - 3

∵ The sum of the measures of the angles of a Δ is 180°

∴ m∠KJL + m∠KLJ + m∠JKL = 180°

∵ m∠JKL = 76°

→ Substitute the measures of the 3 angles in the equation

∴ 5y - 3 + 5y - 3 + 76 = 180

→ Add the like terms on the left side

∵ (5y + 5y) + (76 - 3 - 3) = 180

∴10y + 70 =180

→ Subtract 70 from both sides

∵ 10y + 70 - 70 = 180 - 70

∴ 10y = 110

→ Divide both sides by 10 to find y

∴ y = 11

∴ The values of x and y are x = 3 and y = 11

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3 years ago

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krek1111 [17]

Answer:

kora is 13

Step-by-step explanation:

venla is 5 years older than kora

18-5=13

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3 years ago

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