Find the equation of the line that is perpendicular to the line Y equals negative 4X -4 and passes through the point -2, -4. Write the equation in point slope form

Answers

Answer 1
hello!

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

Perpendicular lines have slopes that are opposite reciprocals.

This means we take the slope, flop it over, and change its sign.

In this case, we have

[tex]\boxed{-4}[/tex]

First, flop it over:

[tex]\boxed{-\frac{1}{4}}[/tex]

Change its sign:

[tex]\boxed{\frac{1}{4}}[/tex]

Now, let's write the equation of the line in point-slope form:-

[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]

Where

y₁ is the y-coordinate of the point that the line intersects

m is the slope of the line

x₁ is the x-coordinate of the point that the line intersects

In this case,

y₁ is equal to -4

m is equal to  [tex]\boxed{\frac{1}{4} }[/tex]

x₁ is equal to -2

Plug in the values:-

[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]

Simplify:-

[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]

and we're done!

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

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)


Related Questions

by finding tan θ in 2 different triangles find the value of m

Answers

Answer:

m = 3.75

Step-by-step explanation:

tanθ = 3/4θ = 37°

⇒ Angle opposing 3 in the left triangle is 53°

sin53° ⇒ 4/5 = 3/m4m = 15m = 15/4m = 3.75

Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
Enter your answer in the grid.
WHAT IS Z?

Answers

Answer:

z = 50.2802734375

Step-by-step explanation:

y = 15.5

y is 512 times x

z is 50.25 more than x

15.5/512 = 0.0302734375

x = 0.0302734375

0.0302734375 + 50.25 = 50.2802734375

z = 50.2802734375

Name two points on the line y = 6x. Does it describe a proportional relationship? Explain.

Answers

Anser: 2,12 and 4, 24. Yes, it is proportional.

Step-by-step explanation:

For every 2x, y will be inceased by 12.

Which statement is correct?

Answers

Answer:

C because the answer is right

Can u do these for me

Answers

Answer:

Step-by-step explanation:

Compare the decimals using >, <, or =

2.95 > 2.949 (2.95 can be written as 2.950, which is > 2.949)3.75 < 3.8 (3.8 can be written as 3.80, which is > 3.75)0.98 = 0.980 (0.98 can be written as 0.980, which is = 0.980)0.86 < 0.861 (0.86 can be written as 0.860, which is < 0.861)1.76 < 2 (2 can be written as 2.00, which is > 1.76)3.15 < 3.2 ( 3.2 can be written as 3.20, which is > 3.15)

Name two equivalent fractions for each fraction listed below.

2/4 = 1/2 = 4/81/3 = 2/6 = 3/91/10 = 2/20 = 3/30

If there are 16 cups in one gallon, how many cups are in 3 gallons?

16 cups = 1 gal.

? cups = 3 gals.

3 * 16 = 48 cups

How many cups are in 5 gallons?

5 * 16 = 80 cups

Compare and contrast squares are rectangles

Squares: have four sides and four equal sides

Rectangles: have four sides and have 2 parallel sides, meaning that they have 2 opposite sides that are equal.

Hope this helps!

Regression equation : y = 3.915(1.106)x. which two equations below could you solve to find d, the number of days it takes the water lily population to double? 2 = 3.915(1.106)d 7.830 = 3.915(1.106)d 7.830 = 3.915(2)d 2 = 1.106d

Answers

Answer: 1.106D

Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D

The number of days it takes the water lily population to double will be 3.915.

What is a regression equation?

The equation is written as Y= a + bX, where Y is the dependent variable and X is the independent variable.

This is an algebraic idea; imagine the initial number was x and the new number is 2x. If the constant rate of growth is r and the time is D, the function expressing growth will be:

[tex]2x=x(r)D\\\\ 7.830=3.915(1.106)D\\\\ 7.830=3.915(2)D[/tex]

Hence the number of days it takes the water lily population to double will be 3.915.

To learn more about the regression equation refer to the link;

https://brainly.com/question/7656407

ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer. ​

Answers

Answer:

hai

Step-by-step explanation:

Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi

dengan asumsi harga jam naik 2% / tahun. Future Value

Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi

dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present

value. Future value. Present value annuity.

Bunga di terima per bulan, dan tetap di gulung.

Ya Berapa yang dia tabung tiap bulan

-pakai tabel

From the coordinate 8,12 to 10 and 15 what was the scale factor

Answers

Answer:

Scale factor is 5/4

Step-by-step explanation:

To find scale factor make a fraction. New coordinates/old coordinates

Make the fractions and reduce.

10/8  and 15/12

5/4 and 5/4

The scale factor is 5/4

solve for the missing side

Answers

Answer: D

Step-by-step explanation:

A skateboarding ramp is in the shape of a triangular prism, If the entire ramp is to be painted, and a can on spray paint covers 1,000 sq^2, how many cans will be needed?

Answers

Step-by-step explanation:

I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.

please change the numbers in the calculation (and the recalculate) as necessary :

we are dealing with a triangular prism that acts as a ramp.

triangular means that the sides are in the shape of triangles.

but the front, the back and also the bottom areas are rectangles.

the area of a rectangle is length×width.

the area of a triangle is baseline×height/2

since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).

the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).

I understand the height is 14 in.

I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.

now we get the length of the inclined "front" leg of the side triangles via Pythagoras

c² = a² + b²

with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :

c² = 14² + 48² = 196 + 2304 = 2500

c = 50 in

that means our front rectangle of the ramp is actually a square of 50in × 50in.

the entire ramp is to be painted. that means really every side, including the bottom.

so, the whole surface area is the sum of the individual areas.

we have

1 (inclined) front area 50in × 50in

1 back side (straight up) 50in × 14in

1 bottom area 50in × 48in

2 side triangles 48in × 14in / 2 = 48in × 14in

so, we get as total area

50×50 = 2500 in²

50×14 = 700 in²

50×48 = 2400 in²

48×14 = 672 in²

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

6272 in²

now, one can of spray paint can cover 2000 in².

that means we need

6272 / 2000 = 3.136 cans.

and since we cannot buy fractions of cans, we need to round up.

we need 4 cans to do the painting job.

Can someone help me with these questions

Answers

Answer:

Step-by-step explanation:

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

[tex]\sqrt[n]{x} =x^\frac{1}{n}[/tex]

For the first expression, we can use this proprtery to get:

[tex]\sqrt[5]{a^x} =(a^x)^\frac{1}{5}[/tex]

Using exponent rules, you can combine the exponents by simply multiplying them to get:

[tex]a^\frac{x}{5}[/tex]

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

[tex]\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }[/tex]

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

[tex]\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }[/tex]

The square root of 81 has a perfect root of 9. We have:

[tex]ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }[/tex]

You can divide 9 and the square root of 3 by breaking up 9 into a product:

[tex]\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }[/tex]

Simply by cancelling the 'a' terms to get:

[tex]3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}[/tex]

Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done

Answers

Answer:

  y = 4x -16

Step-by-step explanation:

The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).

  m = (y2 -y1)/(x2 -x1)

  m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines

The point-slope equation for the line with slope 4 through point (4, 0) will be ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept

  y = 4x -16 . . . . . . expanded to slope-intercept form

help 1 hour left please

Answers

Answer: 110 degrees

Step-by-step explanation:

The volume of this right prism is 266.5 ft³.

What is the height, x, of the prism?

Enter your answer as a decimal in the box.

x =
ft

Answers

Hey there!

1/2 lwh = v

lwh = 2v

h = 2v/lw

Formula:

H = 2v / l w

H = 2(266.5ft³)/lw

H = 533/lw

Other length are Missing like length and width

Incomplete question

Answer:

The answer is 8.2, I took the test.

A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm

Answers

Answer:

S = R θ      where θ is in radians

If θ  = 2 pi then S = 2 pi R       the circumference of the circle

θ = S / R = 9.7 / 9 = 1.08 rad

Since 1 rad = 360 / (2 pi) = 57.3 deg

the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg

Please Help!

A. 18 ft by 27 ft
B. 18 ft by 9 ft
C. 9 ft by 13.5 ft
D. 72 in. by 108 in

Answers

Answer:

C

Step-by-step explanation:

I hope it is right, sorry if it's wrong. ☹

-2 (3x -5) -2= 22 - 68

Answers

Answer:

9

Step-by-step explanation:

Answer:

i belive the awnser is 9

Step-by-step explanation:

The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.

Answers

Price after 9% increased 1800
Price before increase 1800-9%*1800
=1638

find the area of the shaded region. please show your work​

Answers

Answer:

≈184.25

Step-by-step explanation:

1) if r=10 and 'a' is the length of the side of the triangle, then the ratio

a=r√3;

2) the required area can be calculated as

A=πr²-√3/4*a²; ⇔ A=πr²-3√3/4 r²;

3) according to the formula above, the required area:

[tex]A=r^2(\pi -\frac{3\sqrt{3} }{4} ); \ = > \ A=100*(3.1415-\frac{3*1.7321}{4})=184.2462[/tex]

Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?
The 6-pack contains 0.130 liters more soda.
The 2-liter bottle contains 0.130 liters more soda.
The 2-liter bottle contains 0.645 liters more soda.
The 6-pack contains 0.645 liters more soda.

Answers

Answer:

The 6-pack contains 0.130 liters more soda.

If f(x) = x + 1, and g[f(x)] = x, what is g(x)?

Answers

Answer:

x-1

Step-by-step explanation:

f(x) = x+1

g[f(x)] = x

g[x+1]=x

g(x)=x-1

Why would you want a small remote valve and a large valve close to the cylinder?

Answers

An individual will want small remote valve and a large valve close to the cylinder in order to build the pressure.

What is pressure?

It should be noted that pressure simply means the measure of the force that's applied over a unit area.

In this case, an individual will want small remote valve and a large valve close to the cylinder in order to build the pressure between each valve and also create more pressure for the cylinder.

Learn more about pressure on:

https://brainly.com/question/25736513

et
Which is true regarding Armando's use of algebra tiles?
O He used the algebra tiles correctly.
He did not represent the two original factors correctly.
O The signs on some of the products are incorrect.
O Some of the products do not show the correct powers
of x.

Answers

Answer:

The Last One

Step-by-step explanation:

hope this helps :))

Help I don't knoz if this is right but I think the answer is d​

Answers

-10k + 15
15 -4k-6k
Yes! The answer would be D.

Jin's family took a road trip to Niagara Falls. Jin slept for the last 24 miles of the trip. If the total length of the trip was 400 miles, what percentage of the total trip had they travelled when Jin fell asleep?

Answers

22% is the answer for your question

What would be the formula if the farm agency could only use the letters A, B, C, and blank spaces?

Answers

The formula of the farm agency illustrates a geometric progression

The formula the farm agency could use is y = 3^n

How to determine the formula?

The number of characters is given as:

n(A,B,C) = 3

Represent the number of tags to create with y.

So, we have:

y = 3×3×3×3×..........×3( in n places)

Express as exponent

y = 3^n

Hence, the formula the farm agency could use is y = 3^n

Read more about formulas at:

https://brainly.com/question/2500080

Answer: y=4^n

Step-by-step explanation: I got the question right and this was the answer, I believe its because the company uses A,B,C and blank spaces so that adds one.

PLEASE HELP ME QUICK !!

Answers

Answer:

9.138

10.28

11.26

12.55

ANSWER :

9.) 138

10.)28

11.)26

12.)55

HOPE IT HELPS

# CARY ON LEARNING

f(x) = 3x - 2x - 5

Factoring quadratics

Answers

Answer:

[tex](3x -5)(x+1)[/tex]

Step-by-step explanation:

Factoring [tex]3x^{2} -2x-5=0[/tex] results in [tex](3x -5)(x+1)[/tex]

Thank you please help if you can

Answers

Answer:

The answer is -

15.5^2 Mi

Give brainliest if it helps you

3 3/5 + 1 1/6 answer as a fraction

Answers

Answer:

[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]

Step-by-step explanation:

It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.

3 3/5+1 1/6

First, you have to add the whole numbers.

3+1=4

After that, you can combine by a fraction.

6*3=18

18/5+ 1 1/6

1+6=7

7/6

Rewrite the problem down.

18/5+7/6

Solve.

5*6=30

143/30

=23/30

[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]

Therefore, the final answer is 4 23/30.

I hope this helps you! Let me know if my answer is wrong or not.

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