Mathematics High School

Write the equation of the line that passed through the point (-1,-4) that is perpendicular to the line
2
у -2 +1.
Show all of your work and answer in the text box provided.

Answers

Answer 1

Answer:

The line that meets these conditions is y = 1.5x - 2.5

If you want to use fractions, it would be y = 3x/2 - 5/2

Step-by-step explanation:

To get a line perpendicular to y = -(2/3)x + 1, We can start by finding its slope.  That's easy enough as a perpendicular slope is the negative reciprocal of the given one.  As this has a slope of -2/3, our new slope has to be 3/2, or 1.5

All we need to do then is express that rate of change relative to the given point (-1, -4).  We can do this by expanding the classic equation:

Δy = sΔx

We can write that as such:

y - (-4) = 1.5(x - (-1))

y + 4 = 1.5(x + 1)

y + 4 = 1.5x + 1.5

y  = 1.5x + 1.5 - 4

y = 1.5x - 2.5

Or if you want to express those numbers as fractions, it would be y = 3x/2 - 5/2.

To make sure the answer's correct, we can simply plug -1 in as the x value, and see if we get y = -4:

y = 3(-1) / 2 - 5/2

y = -3 / 2 - 5 / 2

y = -8 / 2

y = -4

So we know that our answer is correct (assuming that the slope is correct, which it is - a perpendicular line always has the negative reciprocal of the other line's slope).

Related Questions

) tan c
С
45
36
B.
27
A
4/3
3/5
Ο Ο Ο Ο Ο
27/45
314
4/5

Answers

Answer:

A 4/3 3/5 000000 27/45 314 4/5

find the median of the numbers
​

Answers

Answer:

8

Step-by-step explanation:

There are 3 numbers on each side of 8, which makes 8 the median because it is in the middle.

The answer is 8.
if there are an even number on each side it leaves the middle number to be the median.



Kenny does less than 10 hours of homework per week.

Answers

Answer:

where is the question?

Step-by-step explanation:

Answer:

kenny from aot

Step-by-step explanation:

PLEASE ANSWER THIS ILL GIVE BRAINLIEST

Answers

The answer is (-2,-5) in point form and in equation form the answer is x=-2 y=-5

Answer:

the answer is 2342

Step-by-step explanation:

because 7x add 2y = 2342

Please help me out!!!

Answers

I need a better picture to understand

Rewrite each expression by combining like terms.
13p - 4p + 6q

Answers

Answer:

You answer would be 15p

Step-by-step explanation:

13p - 4p + 6p

9p + 6p

15p

Answer:

9p + 6q

Step-by-step explanation:

Rewrite each expression

Combine like terms

13p - 4p + 6q

_____________________

When we have like terms, we can only add the ones that have the same symbols as endings, such as variables, exponents, etc. Therefore :

Add "p" values together :

13p - 4p

9p.

Now rewrite the expression, we cannot combine like terms with "p" and "q" because they are not the same variable :

9p + 6q

60.5/100 if the denominator is 100 and nominator is 60.5 what is percentage?​

Answers

The percentage would be 60.5%

What is the remainder when the following polynomial is divided by (x+2)? f (x) = 3x^5 - 2x^3 + 4x-7

Answers

Answer:

remember me?

Step-by-step explanation:

PLZ HELP COME ON I NEED HELP 50 points

Answers

Answer:

9. -6x+10

10. -24x +18y

11. 15y - 10z

12. -8x- 28

13. -7x + 14

14. -24x +12

Step-by-step explanation:

9) -6x+5

10)-24x+18y

11)15y-10z

12)-8x-28

13)-7x+14

14)-24x+12

I think those are the answers since ur using the distributive property

Please help. Look at the triangle below.

Answers

Answer:

See below.

Step-by-step explanation:

Side BC is adjacent to <B and is 11 units long.

Side BA is the hypotenuse and is x units long.

find the exact value of tan 2x if sin x = -4/5. (Quadrant III)

Answers

Answer:

sin x = -0.8

x = -53.13010235 (used inverse of sin)

tan 2x

tan -106.2602047

= 0.61854704132

Simplify the expression. 2.9-4.2n - 2n + 5​

Answers

Answer:

https://images.app.goo.gl/bSiQyHjru1cN2gVa6

Answer:

-6.2n+7.9

Step-by-step explanation:

Find x if m Plz Help

Answers

Thee is not a x or a m

PLS HELLLPPP MEEEE ASAP!!!!!

Answers

Answer:

you want to be a friend se you want me to be a good

Answer:

1. 7.1 in

2. 46.6 ft

3. 91.7 ft

4. 12

Step-by-step explanation:

All pythagorean theroem questions so a^2+b^2=c^2

Helllppp!!!
All statements of equality below are correct.


A. True
B. False

Answers

Answer:

DONUT WORRY IT SHOULD BE FALSE BECAUSE IMEADIATLY THE FIRST ONE = 7

Step-by-step explanation:

What is Adjusted Gross Income?
What is taxable income?
Are they the same?

Answers

Answer:

taxable income is the portion of your total income that can be taxed

adjusted gross income is an individual's total gross income minus specific deductions. It is used to calculate taxable income, which is AGI minus allowances for personal exemptions and itemized deductions. For most individual tax purposes. No they are not the same

Step-by-step explanation:

Which BEST describes a right prism?
es )
A)
all bases are right triangles
B)
all faces are right triangles
C)
all bases are rectangular
D)
all faces are rectangular

Answers

the answer is C i just did it
Your answer is definitely C

8. Let angle A and angle B be acute angles in two right triangles. Calculate the angle and
round to the nearest tenth of a degree.
a. sin A = 0.87
b. cos B = 0.15

Answers

9514 1404 393

Answer:

  a. 60.5°

  b. 81.4°

Step-by-step explanation:

Inverse functions are used to find the angle value for a given trig function value.

a) arcsin(0.87) ≈ 60.5°

b) arccos(0.15) ≈ 81.4°

__

On many calculators, these functions are accessed using a 2nd or Shift key. They are often labeled as sin⁻¹ and cos⁻¹. The calculator will have a mode setting that needs to be set to "Degrees" if you don't want the angle in radians or grads.

Need help ASAP please HELP HELP HELPPPPP

Answers

Answer:

Step-by-step explanation:

Answer:

help i help you

Step-by-step explanation:

where are the ansewrs at


help me out with this pls (multiple choice) plz & ty

Answers

Answer:

D

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{12} \\ y = 6 \\ \cos(30) = \frac{x}{12 } \\ x = \sqrt{108} = 6 \sqrt{3} [/tex]

Which situation is modeled by the graph?
Height
Time

Answers

Answer:23

Step-by-step explanation:

Which graph best represents y=−2x+3

Answers

Answer:

download graphing calc, it'll help u sm

Step-by-step explanation:

　　°　　　•　　.°•　　　 ✯

　　　★　*　　　　　°　　　　 　°·　　                          

.　　　•　° ★　•  ☄

▁▂▃▄▅▆▇▇▆▅▄▃▁▂

x + 2y = 9
2x - y = 8

(5,2)
(1,4)
(4,-1)
(5, -2)
which one is it?

Answers

Answer:

(5,2)

Step-by-step explanation:

when you plug them in they appear true!

Which pair of statements about the lengths of two sides of the triangle?

!!! pls help !!!
(Sorry for the blurry photo)​

Answers

I’m pretty sure it’s C and if I’m wrong I’m very sorry I probably did some math wrong

it's A

between J and L it 3 units

between L and K it 4

What does it mean when 6 people share 12 muffins

Answers

Answer:

Each person gets 2 muffins

Step-by-step explanation:

12 divided by 6 is 2

It means that those six people are sharing twelve muffins meaning each of them get two muffins. Have a good day:)

bishwant and sunayana cimplete a oiece of a work in 6 days working together.if bishwant alime can complete it n 10 days.in how many days would sunayana alon3 complete the work
​

Answers

Step-by-step explanation:

sunaina's alona work=

1/6-1/10

10-6/60

4/60

1/15

therefore sunaina can alone do the work in 15 days

Which equation illustrates dividing out a common factor as the first step to solve the equation 2 x + 4 = 6 x + 2 ? A. 2 ( x + 2 ) = 2 ( 3 x + 1 ) B. 2 x 2 + 2 2 = 6 x 2 + 2 2 C. 2 x 2 + 4 = 6 x 2 + 2 D. 2 x + 4 2 = 6 x + 2 2

Answers

Answer:

Step-by-step explanation:

2x + 4 = 6x + 2

Bringing like terms on one side

4 - 2 = 6x - 4x

2 = 2x

2/2 = x

1 = x

In this diagram, ABAC – AEDF. If the
area of ABAC = 15 in2, what is the
area of AEDF?
D
E
4 in
F
B
5 in
Area = [?] in
Enter a decimal rounded to the tenths,
1

Plz help ive been on this for 2 hours.

Answers

Answer:

48/5in2=9.6in2 ~ 10in2

Give an example for a statistical question and a non statistical question.

Answers

Statistical questions can have more than one possible answer. Non statistical questions has only one answer.
A statistical question:
Do dogs run faster than cats?
Non statistical question:
How old are you?
I hope this helped. If it did, I would appreciate if you can give me brainliest

Which equation of the least squares regression line most closely matches the data set?


yˆ=−0.31x+37.3

yˆ=−0.09x+11.5

yˆ=−10.1x+118.8

yˆ=−2.3x+97.9

Answers

Answer:

I can confirm that the answer above is correct.

Step-by-step explanation:

Hope this helps. :D

The equation of the least squares regression line which is most closely matches the data set is yˆ=−10.1x+118.8

What is linear regression?

Linear regression is a type of regression which is used to model the data having linear relationship between the variables. The regression line can be given as,

[tex]\hat y=bX+a[/tex]

The data given in the problem is,

x       2    4    6    8   10y    100  83  50 35  23

Mean of x and y values,

[tex]\mu_x=\dfrac{2 +4 +6 +8 +10}{5}=6\\\mu_y=\dfrac{100 +83 +50 +35 +23}{5}=58.2[/tex]

Here, in this data points, the sum of the squares is 40 and sum of the products is -404. The value of b is,

[tex]b=\dfrac{-404}{40}\\b=-10.1[/tex]

The value of a is,

[tex]a=58.2-(10.1\times6)\\a=118.8[/tex]

Put the values in the above equation,

[tex]\hat y=-10.1X+118.8a[/tex]

Thus, the equation of the least squares regression line which is most closely matches the data set is yˆ=−10.1x+118.8

Learn more about the linear regression here;

https://brainly.com/question/25226042

#SPJ2

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