Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.
Question 8 options:

A)

3y = x + 16

B)

y = –3x + 2

C)

y = –3x + 8

D)

3y = –x + 16

Answers

Answer 1

9514 1404 393

Answer:

  A)  3y = x + 16

Step-by-step explanation:

The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.

Swapping coefficients, we get ...

  -3y = x + c

Negating the y-coefficient gives ...

  3y = x + c

Filling in the given point, we have ...

  3(5) = -1 + c

  16 = c

The equation of the perpendicular line can be written as ...

  3y = x + 16 . . . . matches choice A

_____

Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.


Related Questions

A spinner has five sections labeled a,b,c,d,e. The spinner is spun 45 times


Answers

Answer:

40

Step-by-step explanation: pls I need points make brainpy

The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.

Answers

Answer:

45

Step-by-step explanation:

1/2×9×10

since the formula says half base times height, so therefore

Area =45

How many 3/4 cup servings are in 1/2 cup of yougurt? Simplest fraction form

Answers

Answer:

2/3 serving

Step-by-step explanation:

(1/2)/(3/4) = 1/2 x 4/3 = 4/6 = 2/3 serving

X+4y=8 and 3x+4y=0 find the slope-intercept form

Answers

Answer:

Step-by-step explanation:

Slope intercept form: y =mx + c

1) x + 4y = 8

        4y = -x + 8

Divide the equation by 4

  [tex]\frac{4y}{4}=\frac{-x}{4}+\frac{8}{4}\\\\y = \frac{-1}{4}x + 2[/tex]

Here, m = -1/4  and y-intercept = 2

2) 3x + 4y = 0

          4y = -3x

Divide the equation by 4

           y = [tex]\frac{-3}{4}x[/tex]

(4x-1)2=11
whats the solution

Answers

Answer:

x = 13/8

Step-by-step explanation:

(4x−1)(2)=11

Simplify both sides of the equation.

(4x−1)(2)=11

(4x)(2)+(−1)(2)=11 (Distribute)

8x+−2=118x+−2=11

8x−2=11

Add 2 to both sides.

8x−2+2=11+2

8x=13

Divide both sides by 8.

8x/8 = 13/8

which brings you to the answer of

x = 13/8

(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)

David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch. What part of the expression represents the amount of tax David has to pay? Explain.

Answers

0.07

45h represents how much it costs per hour to get it fixed and how long it takes to get it fixed
0.07(45h) would represent the tax because it is 7% of the cost pretax

Use the method of cylidrincal shells to find the volume of the solid generated by rotating the region bounded by the curves y=6x-2x^2 and y=x^2 about the y axis.

Answers

Find where the two curves intersect:

y = 6x - 2x ²

y = x ²

6x - 2x ² = x ²   →   3x ² - 6x = 3x (x - 2) = 0   →   x = 0 and x = 2

Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².

Then volume of the solid is

[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]

Choose the sentence that is out of sequence.

Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.

Answers

Answer:

C.

Step-by-step explanation:

(MATH) (6) ((PHOTO))
label is m​

Answers

Multiply the length by the height:

6.5 x 2 = 13

The width is the volume divided by 13

Width = 52/13 = 4 m

IF A FUNCTION f(x) is defined AS 5x^2-3x+3, what is the expression for

Answers

Answer: C. 10x-3

Step-by-step explanation: I got this question correct on Edmentum.

The value of the expression will be 10x – 3. Then the correct option is C.

What is the limit?

The value that approaches the output for the given input value. Limits are a very important tool in calculus.

The function is defined as,

f(x) = 5x² – 3x + 2

Then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]

Substitute the value of the function, then the value of the expression will be

[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]

Simplify the equation further, then we have

[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]

Substitute the value of the h = 0, then the value of the expression will be

⇒ 5(0) + 10x – 3

⇒ 10x – 3

Then the correct option is C.

More about the limit link is given below.

https://brainly.com/question/8533149

#SPJ2

Abigail ordered a 32 oz steak that cost $60.
(cost to weight)

Answers

$1.9 I’m pretty sure

If you do 1.9 times 32 you get 60 plus 8 cents

Or it can be 1.8 times 32 which is 57

What is sec 0 when cot 0 = -4/2?

Answers

Answer:

[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]

Step-by-step explanation:

[tex]Cot0=-4\sqrt{2}[/tex]

[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]

[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]

[tex]=\frac{4\sqrt{66} }{32}[/tex]

[tex]=\frac{\sqrt{66} }{8}[/tex]

--------------------

hope it helps...

have a great day!!

How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form

Answers

y=2/3x-2

Explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer:

[tex] y = \frac{2}{3} x - 3[/tex]

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

[tex] y = mx + b[/tex]

Plug the values of m and b in the above equation, we find:

[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]

Please help! 4th grade math. (See below)
*Use an equation to write each fraction or product as a multiple of a unit fraction*
3/5

Answers

Does this work:

1/5+1/5+1/5=3/5

Plz need helppp Quick !!!!!!!

Answers

Step-by-step explanation:

A.  1 cup of blue rate for 3/5 cup of red paint

B. 1 cup of flour for 2.5 muffins

C. r = d/t = 420 miles/7 hours = 60 miles per hour.

D. 48/3 = $16 for every hour

E. $15/6 = $2.5 for every hot dog

1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a

Answers

Գ is the answer for the question

Someone help need this to pass last question for today!

Answers

Answer: Reflection=simply flipping an object across a line without changing its size or shape. While Translation just slide a figure in any direction without changing its size, shape or orientation.

Hopes that helps have a blessing day/night :)

Can someone help me with this question plz show work.

Answers

Answer:

d

Step-by-step explanation:

V=whl=3·4·6=72

D. 6*4*6≠72

Answer:

D 6x6x4

Step-by-step explanation:

the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism

Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help? ​

Answers

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

The only solution to x^2+bx+c=0 is x=5 find a and b

Answers

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).
What is the distance from Beth’s house to the coffee shop? Each grid line on the coordinate plane represents 1 mile.
10 miles
square root of 8
square root of 52
52 miles

Answers

Answer:

the answer is c square root 52

Step-by-step explanation:

just got a 100

The distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

What is a distance formula?

The distance formula is used to measure the distance between the two points on a coordinate plane.

Let the two coordinate  point on a coordinate plane is ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]). Thus, the distance between these two can be given as,

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

When graphed on a coordinate plane Beth’s house is located at (4, 3) and the coffee shop is located at the point (–2, –1).

Here, each grid line on the coordinate plane represents 1 mile.

Using the distance formula for these point, the distance from Beth’s house to the coffee shop can be given as,

[tex]d=\sqrt{(4-(-2)^2)+(3-(-1))^2}\\d=\sqrt{6)^2+(4)^2}\\d=\sqrt{36+16}\\d=\sqrt{52}[/tex]

Hence, the distance from Beth’s house to the coffee shop, which are graphed on a coordinate plane is √(52) units.

Learn more about the distance formula here;

https://brainly.com/question/661229

A couple's anniversary dinner bill was $126.50. They tipped their waiter 20% of the bill. What was the total bill including tip?

Answers

Answer:

$151.80 was the total bill including tip.

Step-by-step explanation:

$126.50 x 20% = $25.30

$126.50 + $25.30 = $151.80


$151.80

$126.5•1.2=$151.8

Given a polynomial f(x), if (x + 7) is a factor, what else must be true

Answers

Answer:

Step-by-step explanation:

at x = -7, the polynomail function f(x) has a zero (x-intercept)

I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)

Answers

Answer:

a

Step-by-step explanation:

kkkkkkkkkkkkkkkkkkkkkkk

Answer:

a. h(x)=(x+2) (x-3) (x+4)

Step-by-step explanation:

The zeros of the function are -2, 3 and -4:

(x=-2) (x=3) (x=-4)

(x+2) (x-3) (x+4)

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

Answer B will be the best answer for your question.

Step-by-step explanation:

Polygons usually have straight sides, but this one does not.

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

D. 50.24

Step-by-step explanation:

The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D.  :) hope this helps  

For which situation could flipping a coin be used to generate a random sample

A: To predict if a machine will be defective or not. B: To predict student performance on an exam. C: To predict the number of peanuts in a container. D: to predict which of four players will win a gold tournament.

I put A but Im not sure.

Answers

Answer: B

because its 50/50 chance you'll have heads or tails

Does anybody know the answer to this question

Answers

Answer:

A

Step-by-step explanation:

How many faces does a triangular pyramid have?

A. 3
B. 6
C. 4
D. 5

Answers

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

C. 4.

thanks hope it helps
Triangular pyramid has 4 faces. Hope it helps :)

HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY

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500 people were surveyed.Just add all the numbers...
500 people were surveyed
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