What is an equation of the line that passes through the point (-4, 5) and is perpendicular to the line 4x + y = 7?

Answers

Answer 1

Answer:

  x -4y = -24

Step-by-step explanation:

Given the equation of a line in standard form, you can write the equation of the perpendicular line by swapping the coefficients and negating one of them. The constant needs to be adjusted to make the equation true at the point you want the line to pass through.

  4x +y = 7 . . . . given line

  x -4y = constant . . . . equation with coefficients swapped, one negated

  x -4y = (-4) -4(5) = -24 . . . . equation with appropriate constant

An equation for the desired line is ...

  x -4y = -24

__

Additional comment

The standard form equation has a positive leading coefficient, so the choice of which coefficient to negate will take that into account.

The slope of the standard form line ...

  ax +by = c

is m = -a/b.

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = b/a

You can see that this swaps the coefficients and negates one of them.

What Is An Equation Of The Line That Passes Through The Point (-4, 5) And Is Perpendicular To The Line

Related Questions

.pleaseeeee helppppp​

Answers

Answer:

6

Step-by-step explanation:    i just looked it up

Answer:

6gallons

Step-by-step explanation:

there are 48 pints in 6 gallons

Please give brainliest!!!! Thank you

Watch help video Drag the red and blue dots along the x-axis and y-axis to graph 3x + 5y = 18. 10 9 8 7 5 4 3 2 1 -10 -9 -8 -7 26 -5 -4 -3 1 2 4 5 6 9 -1 -2 -3 -4 -8 -9 -10 IPI O​

Answers

Step-by-step explanation:

the equation is

3x + 5y = 18

the blue dot is the interception of the line with the y-axis. that is the y value, when x = 0.

the equation for x = 0 is

3×0 + 5y = 18

5y = 18

y = 18/5 = 3 3/5 = 3.6

the red dot is the interception of the line with the x-axis. that is the x value, when y = 0.

the equation for y = 0 is

3x + 5×0 = 18

3x = 18

x = 18/3 = 6

so, you need to move the blue dot to 3.6 and the red dot to 6.

A store has socks with different heights, patterns, and colors. The socks can be tall or short,have dots or he plain,and can be black,gray,or white. What is the probability that a random customer buys plain gray socks?

Answers

Answer:

30$ I think but I can wrong also

About how much flooring is needed for a room that is 10 feet wide and 20 feet long?

Answers

Answer:

200ft²

Step-by-step explanation:

1x2=2

10x20=200

So hence, you need 200ft² of flooring for a rom that is 10 feet wide and 20 feet long.

Thanks!

Ben went with his parents to buy a new outdoor chair. Measure and write the angle of the seat (it has been traced for you) and then explain the steps you took to measure the angle.

Answers

Answer:

what is the length we are talking about i need a little more info

Step-by-step explanation:

6 Jamila uses a tape measure to find the length of her desk. It is 1 metre 8.5 centimetres. Write this in metres.​

Answers

Answer:

1.085 metres

Step-by-step explanation:

1 cm = 0.01 m

8.5 cm = 0.085 m

1m+0.085m=1.085 metres

Answer:

1.085 metres

Step-by-step explanation:

100 centimetres = 1m

what about 8.5 cm?

Divide the centimetres by 100

8.5/100 = 0.085m

Then add the metre(s) you already have which is 1

thus 0.085 + 1

1.085m

help meeeeee help meeeee please

Answers

Answer:

Step-by-step explanation:

3) Final step of problem 1: -5x + 6

-5x + 6 = -5*(-2) + 6

           = 10 + 6 = 16

4) x + -4 + -2(3x -5 ) = 8 + -4 + -2(3*8 -5)

                                = 4+ -2(24 -5)

                                = 4 + -2*19

                                 = 4 - 38

                                  = -34

Brainliest? Which situation can be modeled by this graph?

Answers

Answer:

d) A ball is thrown directly upward from an initial height of 7 feet, will reach a maximum height of 19.3 ft in 0.9 s, and finally will hit the ground in 2 s.

Step-by-step explanation:

The y-intercept of the curve is at (0, 7) so when t = 0, the ball is 7 ft above the ground.  Therefore, the ball is thrown from an initial height of 7 feet.

The maximum point of the curve is (0.9, 19.3) which means the maximum height is 19.3 feet is reached after 0.9 seconds.

Finally, the curve intercepts the x-axis at t = 2, which means at 2 s the ball's height is zero, i.e. it hits the ground at 2 s.

1. How many high fives will alan get in 30 seconds?
2. The maximum function is ......
The minimum function is .......
The amplitude of the function is .......
The Midline of the function is .......
The Period of the function is ......
3. Using the information given write a Trigonometric function for the situation below (Where x is time and f(x) represents the distance between Jose and Alan)
4. What makes trigonometric functions useful? (don't mention triangles) 5. Why are trigonometric functions periodic?​

Answers

I guess 24 in 30sec on completing one round each

Answer:

1) [tex]Six[/tex]

Step-by-step explanation:

1)     [tex]30\ seconds\div5\ seconds=6\ seconds[/tex]          [tex]\left\{every\ 5\ seconds\ one\ time\right\}[/tex]

I am going to work on the other several tonight/tomorrow and will post when I get them done.

Segment DH is an altitude of △GHC. Which proportion is NOT true?

Answers

Answer:

Step-by-step explanation:

HC/DH=DG/GH is false

help please . number 2 .

Answers

Answer:

D

Step-by-step explanation:

10x² - 25x + 15 = 0

Divide by 5 both sides,

2x² - 5x + 3 = 0

(x - 1) (2x - 3) = 0

Factors: x - 1 and 2x - 3

Answer: D

Utilize graphing to find the solution to
the following system of equations.
y = x-1 AND y = -x-5
([?], []).
Enter

Answers

Final Ans is (-2,-3)

Explanation:
x - 1 = -x - 5
2x = -4
x = -2

Put x = -2 in one of the shown equations
y = (-2) - 1 = -3
or
y = -(-2) -5 = -3
Good Luck

What is the equation of the line that passes through the points 15,9 and -2,9

Answers

Answer:

[tex]\displaystyle y = 9[/tex]

Explanation:

Both ordered pairs have similar y-coordinates. In addition, any straight line like this one, is considered a zero rate of change [zero slope], therefore you have your equation above.

I am joyous to assist you at any time.

HELPPPP MEEE PLEASE QUICK 15 points

Answers

Answer:

hope this help uhh.. Have a good day.

The difference of x and (-5) is no more than (-9)

Answers

Answer:

x + 5 [tex]\leq[/tex] -9

Step-by-step explanation:

difference means subtraction, so -(-5). The two negatives cancel out so it's +5. "no more than" means less than or equal to, in this case, -9. put these steps/numbers all together and you get x + 5 [tex]\leq[/tex] -9

HELP ME!!!! PLEASE (I have Points)

Answers

Answer:

yes pick .98 l

Step-by-step explanation: .

These tables represent a quadratic function with a vertex at (0, 3). What is the average rate of change for the interval from x = 8 to x = 9?

Answers

Answer:

-17

Step-by-step explanation:

I think hopes help

what is the answer to 3t^8

Answers

Answer:

what you are looking? if you need a answer I think it is 24t^7 but tell me what are you looking

marty got a score of 45 with two throws on this dart board which categories did he hit?

Answers

Answer:

47

Step-by-step explanation:

the answer will be 47 because 47 +2=47 so and there you have it that's the answer

Answer:

123 save some for me

Step-by-step explanation:

that what you get :)

a giant tank in a shape of an inverted cone is filled with oil. the height of the tank is 1.5 metre and its radius is 1 metre. the oil is dripping at the bottom of the tank at the constant rate of 110 cm³/s.

1) Find rate of change for the oil's radius when the radius is 0.5m.
2)calculate the rate of change for the oil's height when the height is 1
20 cm.
3. A circular oil slick was formed with uniform thickness from the drip. Assuming that the thickness of the oil slick is always at 0.1 cm, find the rate of the oil's radius when the radius is 10cm​

Answers

The given height of the cylinder of 1.5 m, and radius of 1 m, and the rate

of dripping of 110 cm³/s gives the following values.

1) The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ 9.34 × 10⁻⁵ m/s

2) The rate of change of the oil's height when the height is 20 cm is h' ≈ 1.97 × 10⁻³ m/s

3) The rate the oil radius is changing when the radius is 10 cm is approximately 0.175 m/s

How can the rate of change of the radius & height be found?

The given parameters are;

Height of the tank, h = 1.5 m

Radius of the tank, r = 1 m

Rate at which the oil is dripping from the tank = 110 cm³/s = 0.00011 m³/s

[tex]1) \hspace{0.15 cm}V = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]

From the shape of the tank, we have;

[tex]\dfrac{h}{r} = \dfrac{1.5}{1}[/tex]

Which gives;

h = 1.5·r

[tex]V = \mathbf{\frac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)}[/tex]

[tex]\dfrac{d}{dr} V =\dfrac{d}{dr} \left( \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)\right) = \dfrac{3}{2} \cdot \pi \cdot r^2[/tex]

[tex]\dfrac{dV}{dt} = \dfrac{dV}{dr} \times \dfrac{dr}{dt}[/tex]

[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dr} }}[/tex]

[tex]\dfrac{dV}{dt} = 0.00011[/tex]

Which gives;

[tex]\dfrac{dr}{dt} = \mathbf{ \dfrac{0.00011 }{\dfrac{3}{2} \cdot \pi \cdot r^2}}[/tex]

When r = 0.5 m, we have;

[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi \times 0.5^2} \approx 9.34 \times 10^{-5}[/tex]

The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ 9.34 × 10⁻⁵ m/s

2) When the height is 20 cm, we have;

h = 1.5·r

[tex]r = \dfrac{h}{1.5}[/tex]

[tex]V = \mathbf{\frac{1}{3} \cdot \pi \cdot \left(\dfrac{h}{1.5} \right) ^2 \cdot h}[/tex]

r = 20 cm ÷ 1.5 = [tex]13.\overline3[/tex] cm = [tex]0.1\overline3[/tex] m

Which gives;

[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi \times 0.1 \overline{3}^2} \approx \mathbf{1.313 \times 10^{-3}}[/tex]

[tex]\dfrac{d}{dh} V = \dfrac{d}{dh} \left(\dfrac{4}{27} \cdot \pi \cdot h^3 \right) = \dfrac{4 \cdot \pi \cdot h^2}{9}[/tex]

[tex]\dfrac{dV}{dt} = \dfrac{dV}{dh} \times \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dh} }[/tex]

[tex]\dfrac{dh}{dt} = \mathbf{\dfrac{0.00011}{\dfrac{4 \cdot \pi \cdot h^2}{9}}}[/tex]

When the height is 20 cm = 0.2 m, we have;

[tex]\dfrac{dh}{dt} = \dfrac{0.00011}{\dfrac{4 \times \pi \times 0.2^2}{9}} \approx \mathbf{1.97 \times 10^{-3}}[/tex]

The rate of change of the oil's height when the height is 20 cm is h' ≈ 1.97 × 10⁻³ m/s

3) The volume of the slick, V = π·r²·h

Where;

h = The height of the slick = 0.1 cm = 0.001 m

Therefore;

V = 0.001·π·r²

[tex]\dfrac{dV}{dr} = \mathbf{ 0.002 \cdot \pi \cdot r}[/tex]

[tex]\dfrac{dr}{dt} = \mathbf{\dfrac{0.00011 }{0.002 \cdot \pi \cdot r}}[/tex]

When the radius is 10 cm = 0.1 m, we have;

[tex]\dfrac{dr}{dt} = \dfrac{0.00011 }{0.002 \times \pi \times 0.1} \approx \mathbf{0.175}[/tex]

The rate the oil radius is changing when the radius is 10 cm is approximately 0.175 m

Learn more about the rules of differentiation here:

https://brainly.com/question/20433457

https://brainly.com/question/13502804

A right prism has a triangle base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards. What is the volume of the prism?

Answers

Answer:

c

Step-by-step explanation:

help me worth 40 points thank u

Answers

Answer: Choice A

[tex]54 \pi \text{ cm}^3[/tex]

=========================================================

Work Shown:

[tex]V = \pi*r^2*h\\\\V = \pi*3^2*6\\\\V = \pi*9*6\\\\V = \pi*54\\\\V = 54\pi\\\\[/tex]

This is the exact volume in terms of pi.

To find an approximation, replace pi with something like 3.14 and simplify.

The units for the volume are in cubic centimeters, which can be abbreviated to "cubic cm" or to [tex]\text{cm}^3[/tex]

Complete the inequality statement. 5/8___7/12

Answers

[tex][Hello,BrainlyUser][/tex]

Answer:

5/8 < 7/12

Step-by-step explanation:

To find which is greater we can turn them into a decimal..

5/8 ⇒ 0.625

7/12 ⇒ 0.583

Then, we compare the two decimal numbers to get the answer.

0.625 is greater than 0.583.

Therefore, 5/8 is greater than 7/12 .

CloudBreeze]

Answer:

5/8 > 7/12

Step-by-step explanation:

I gave the two fractions a common denominator so it could be judged easily.

As you can see here, 5/8 is slighty higher than 7/12

5/8*3/3= 15/24

7/12*2/2=14/24

What is the sum of x-2 and 3x+8

Answers

Answer:

[tex]\huge\boxed{\sf 4x + 6}[/tex]

Step-by-step explanation:

Adding x - 2 and 3x + 8

= x - 2 + 3x + 8

Combine like terms

= x + 3x - 2 + 8

= 4x + 6

[tex]\rule[225]{225}{2}[/tex]

Answer: The sum of x-z and 3x+8 is equal to 6x^2-6x-6 .

Find the missing number so that the equation has no solutions. x – 5 = –3x + 8

Answers

Answer:

13/4

aka

[tex]\frac{13}{4}[/tex]

so hope it helps

Please look at the picture and answer it. Thank you.

Answers

Answer:

62°=y

62°=x......

......

......

Urgent! Need HELP pls don't scam me and answer all questions

Answers

Answer:

450 in²119 ft³

surface area of rectangular prism :

2 ( length * width + length * height + width * height )

2 ( 15 * 10 + 15 * 3 + 10 * 3 )

2 ( 225 )

450 in²

volume of triangular prism :

( base * height * length ) ÷ 2

( 7 * 4 * 8.5 ) ÷ 2

119 ft³

Find the 50th term of the following arithmetic sequence. 5,9,13,17

Answers

Answer:

201

Step-by-step explanation:

8 Opposite sides are congruent. Parallelogram Rhombus Rectangle Square​

Answers

Answer:

Parrelelogram

Step-by-step explanation:

Conggruent means sam angle but diiferent length and a parrelelogram has s standardized size deviation where the symmetry monsizes the ooppiosite size

Please help, look at the photo.

Answers

The area: 18cm
The perimeter: 8cm
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