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2 years ago

Write an equation perpendicular to y = -2x - 7 that passes through the point (4,6)

2 answers:

8 0

THE ANSWER IS: y=1/2x+4

to find a perpendicular line, get the reciprocal of the slope and multiply by -1
so since the given slope is -2, the reciprocal is -1/2 and multiply by -1 to get 1/2

then put the new slope and the given point into point slope form of a linear equation which is: (y-y1)=m(x-x1)
m=slope= 1/2
given point (x1,y1) = (4,6)
(y-6)=1/2(x-4)

you can multiply this out or get standard form:
y-6=1/2x-2
y=1/2+4

blagie [28]2 years ago

6 0

There is no photo of the equation I can’t help you if you don’t give me something to work with

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Can please someone help me? The question is in the picture. Thank you

maxonik [38]

Answer:

C. $9\pi$

Step-by-step explanation:

We proceed to solve for $x$ by the Pythagorean Theorem:

$(x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}$ (1)

$x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)$

$x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17$

$4\cdot x^{2} -20\cdot x + 16 = 0$

$(2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0$

$(2\cdot x -8)\cdot (2\cdot x -2) = 0$

There are two different solutions:

$x_{1} = 4$ , $x_{2} = 1$

A solution of $x$ is considered realistic when the length of every side of the triangle is a not negative number.

$x_{1} = 4$

$UV = 2\cdot (4) - 4$

$UV = 4$

$WU = 4 - 1$

$WU = 3$

$WV = 4 + 1$

$WV = 5$

$x_{2} = 1$

$UV = 2\cdot (1) - 4$

$UV = -2$

$WU = 1 - 1$

$WU = 0$

$WV = 1 + 1$

$WV = 2$

The only realistic set of solutions is for $x = 4$ , and the radius of the circle is represented by the line segment $WU$ : $r = 3$

And the area of the circle ( $A$ ) is calculated from the following formula:

$A = \pi\cdot r^{2}$

$A = \pi\cdot (9)$

$A = 9\pi$

The correct answer is C.

6 0

2 years ago

-4/7 + 2/7x - 14x + 4/7

alexgriva [62]

Answer:

The solved given expression is

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

Step-by-step explanation:

Given expression is $\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}$

To solve the given expression :

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}$

$=\frac{-4+4+2x}{7}-14x$

$=\frac{0+2x}{7}-14x$

$=\frac{2x}{7}-14x$

$=\frac{2x-14x(7)}{7}$

$=\frac{2x-98x}{7}$

$=\frac{-96x}{7}$

Therefore $\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

Therefore the solved given expression is

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

5 0

2 years ago

Serena and Sienna both work for a company that pays 12 dollars per hour for the first 40 hours of work in a week. If an employee

Free_Kalibri [48]

Answer:

87 total hours.

Step-by-step explanation:

The equation 456/12 Gives you how many hours Sienna worked. (38)

642-480 will give you how much money Serena made off of Just OT (162)

162/18 = 9 (9 is how many overtime hours Serena worked.)

Serena worked her normal 40 hours, then worked over time, so you have to add 40 to the equation.

9+40+38 = 87

Serena and Sienna worked 87 total hours.

7 0

2 years ago

Simplify the xepression 10(x + 2)

lions [1.4K]

Answer: 10x + 20

Step-by-step explanation:

10 (x + 2)

Distribute

10x + 20

3 0

2 years ago

Read 2 more answers

What is the slope of the line through (2, - 2) and (9, 3)?

forsale [732]

Answer:

slope = $\frac{5}{7}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)

m = $\frac{3+2}{9-2}$ = $\frac{5}{7}$

4 0

2 years ago