Write an equation for a line in slope-intercept form that is perpendicular to the line y = 4x + 3 and passes through the point (-4, -2).

Answers

Answer 1

Answer:  The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.

Step-by-step explanation:  An line perpendicular to perpendicular to the line y = 4x + 3 would have a slope that is the negative inverse of the refernce line.  That would make the new line's slope -(1/4), the negative inverse of 4,

We can write the new new as y = -(1/4)x + b.  b, the y-intercept, is +3 in the original equation, but it will change for the new line.  We can calculate the new y-intercept by using the one point, (-4,-2) that we know is a solution for the equation (it falls on the line).

y = -(1/4)x + b

-2 = -(1/4)(-4) + b

-2 = 1+b

b = -3

The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.


Related Questions

solve for x
2x×7÷2=8

Answers

Answer:

x=8/7

2x times 7 divided by 2 = 8

solve for x

Step-by-step explanation:

2x ×7/2 =8

2x =8×2/7

x=8×2/2×7

x=8/7 or 1⅐.

hope this helps you.

Tell whether the ordered pair is a solution of the equation. 1. 2x + y^2 = 10; (3,2) 2. 1/2x - 4y = 4; (10,1/2) 3. x^2 + y^2 = 2; (0,1) Help me

Answers

Answer:

it is

Step-by-step explanation:

Write an equation with infinitely many solutions that has the Expression 3x+6 on the left side of the equal side. Demonstrate that your equation has infinitely many solutions.​

Answers

3x+6=3x+6 I think that is how you do it but I’m really bad at math

There's a roughly linear relationship between the length of someone's femur (the long
leg-bone in your thigh) and their expected height. Within a certain population, this
relationship can be expressed using the formula h = 63.4 +2.41f, where h
represents the expected height in centimeters and f represents the length of the
femur in centimeters. What is the meaning of the f-value when h=123?

Answers

Answer:

24.73

Step-by-step explanation:

h=63.4+2.41f

h=123

123=63.4+2.41f

59.6=2.41f

24.73=f

If the value of h is 123. Then the length of the femur will be 24.73 centimeters.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

h = 63.4 + 2.41 f

Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.

If the value of h is 123. Then the f-value is given as,

123 = 63.4 + 2.41 f

2.41 f = 59.60

f = 24.73 cm

Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Evaluate the expression for the given values of the variables.

5p + 3q for p = 2 and q = −8

When p = 2 and q = −8, the expression is equal to...

Answers

Answer:

[tex] \hookrightarrow \: { \rm{5p + 3q}}[/tex]

p is 2q is -8

[tex] = { \tt{5(2) + 3( - 8)}} \\ \\ = { \tt{10 - 24}} \\ \\ = { \underline{ \underline{ \tt{ \: \: - 14 \: \: }}}}[/tex]


2 (-2x + 4) = 2 (-2x + 4)

Answers

0=0

The input is an identity: it is true for all values.

Hope it helps!

Brainliest would be nice but you don’t have to :)

Plz I need help will rate 5 stars

Answers

Answer:

The answer is :

8

.......

What is 30474x484 and then that divided by 47

Answers

Answer:

313817.3617

Step-by-step explanation:

30474*484 = 14749416

14749416/47 = 313817.3617

Answer:

3687354

Step-by-step explanation:

30474x484 = 14749416

14749416 divided by 4 is 3687354

Complete the table.
f(x) = x - 1
х f(x)
3
4
5
6
Submit

Answers

Answer:

[tex]f(x) = x - 1 \\ f(3) = 3 - 1 = 2 \\ f(4) = 4 - 1 = 3 \\ f(5) = 5 - 1 = 4 \\ f(6) = 6 - 1 = 5[/tex]

Answer:

See attached photograph

Step-by-step explanation:

It is a simple matter of subtracting 1 from the given x value. For example, when x=3 we need to subtract 1 away from it to find f(x); so, f(x)=2.

Side note: the term "f(x)" means "y", so when plotting this information on a graph, you will use the f(x) column as your y value.

Find the solution set of the following 1. (2x + 3)(2x – 1) = 10 2. (x + 8)^2 – 9x = 52 3. 15 + x(x + 2x) = 10 4. x(x – 4) = 32 5. 3x(x – 2) = 12x​

Answers

Answer: 12x

Step-by-step explanation:

(

2

+

3

)

(

2

1

)

=

1

0

2

(

+

8

)

2

9

=

5

2

3

1

5

+

(

+

2

)

=

1

0

4

(

4

)

=

3

2

5

3

(

2

)

=

1

2

-5s-5x+5 s 50
solve this

Answers

-5s-5x+5s+50     Combine like terms

5x+50

Answer:

[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]

Arithmetic sequence for a1=5

Answers

Answer:

a =5that is the answer ok

The area of a square is 676 square root. what is the perimeter of the square?

Answers

Answer:

the perimeter of the square is 104

Step-by-step explanation:

to find the perimeter of a square we need to use the formula P = 4a

P is perimeter and a is the side of the square

if a is the side and the formula of Area is A = a^2

that means the side of the square is a = 26 because 26 * 26 = 676

now we take 26 and place it in the a spot of the perimeter formula

P = 4 * 26   (P = 104)

can i get brain if this helps and is correct plz and thxs <(^w^)>

Answer:

It's 104

Step-by-step explanation:

[tex] \sqrt{676 = 26} [/tex]Square perimeter formula : P=4×aP=4×aP=4×26P=104

solve for x.

- 6 ≥ 10 - 8 x

Answers

Answer:

[tex]x \geqslant 2 \: \: \: \: or \: \: \: \: 2 \leqslant x \\ [/tex]

Step-by-step explanation:

[tex] - 6 \geqslant 10 - 8x \\ - 6 - 10 \geqslant - 8x \\ - 16x \geqslant - 8x \\ \frac{ - 16}{ - 8} \leqslant x \\ 2 \leqslant x[/tex]

Answer:

x ≥ 2

Step-by-step explanation:

-6 ≥ 10 - 8x

=> 8x - 6 ≥

=> 8x ≥ 10 + 6

=> 8x ≥ 16

=> x ≥ 16/8

=> x ≥ 2

YALL PLEASE HELP
NO ONE IS ANSWERING THIS DANG QUESTION -n-

Answers

The answer to this question is 0.16666666666

For my answer I got 1/6

Leila puts an integer into the "In" box of each machine.
She finds that the answer that appears in the "Out" box of Machine A is the same as the
answer that appears in the "Out" box of Machine B.
What was the answer produced by both machines?
Show how you figured it out

Answers

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

[tex]\mathbf{y = 2(5x + 3) - 24}[/tex]

The equation represented on machine B is:

[tex]\mathbf{y = 4(2(x + 11) - 7)}[/tex]

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

[tex]\mathbf{y = y}[/tex]

So, we have:

[tex]\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}[/tex]

Open brackets

[tex]\mathbf{10x + 6 - 24 = 8x + 88 - 28}[/tex]

[tex]\mathbf{10x - 18 = 8x + 60}[/tex]

Collect like terms

[tex]\mathbf{10x - 8x = 18 + 60}[/tex]

[tex]\mathbf{2x = 78 }[/tex]

Divide both sides by 2

[tex]\mathbf{x = 39 }[/tex]

Substitute 39 for x in [tex]\mathbf{y = 2(5x + 3) - 24}[/tex]

[tex]\mathbf{y = 2 \times (5 \times 39 + 3) - 24}[/tex]

[tex]\mathbf{y = 372}[/tex]

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

https://brainly.com/question/15715866

PLEASE SOMEONE WHO IS SMART ANSWER THIS QUESTION

Answers

Answer:

36/32 or 1 1/8 (same thing)

Step-by-step explanation:

9 gallon / 32 quarts

First, you have to convert 9 gallon to quarts to match the denominator. In the table, it says that 1 gallon = 4 quarts, so you have to do, 9 x 4 which gives you 36. Now that the fraction is in the same form of units, 36 quarts / 32 quarts, you will have to write it as a mix fraction or you can just leave it as 36 quarts / 32 quarts. If you want it in mix fraction, it is 1 1/8.

Answer:

36

Step-by-step explanation:

1 gallon is 4 quart then the question is 1 to 9 quart then is 4 * 9 is 36

h(x)=x2-x;h(5) find function

Answers

Answer:

h(5) = 20

Step-by-step explanation:

Assume that '2' is an exponent.

So the question for you should be:-

[tex] \displaystyle \large{h(x) = {x}^{2} - x}[/tex]

We want to find h(5); we substitute x = 5 in.

[tex] \displaystyle \large{h(x) = {5}^{2} - 5}[/tex]

5^2 is 5•5 = 25.

[tex] \displaystyle \large{h(x) = 25 - 5} \\ \displaystyle \large{h(x) = 20}[/tex]

Therefore, h(5) is 20.

The number T of teams that have participated in a robot-building competition for high-school students over a recent period of time x(in years) can be modeled by T(x) = 17.155x^2 + 193.68x + 235.81, 0 ≤ x ≤ 6.

After how many years is the number of teams greater than 1000? Justify your answer.

Answers

Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.

The number of teams after x years is given by:

[tex]T(x) = 17.155x^2 + 193.68x + 235.81[/tex]

Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:

[tex]17.155x^2 + 193.68x + 235.81 = 1000[/tex]

[tex]17.155x^2 + 193.68x - 764.19 = 0[/tex]

Which has coefficients [tex]a = 17.155, b = 193.68, c = -764.19[/tex], then:

[tex]\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66[/tex]

[tex]x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1[/tex]

[tex]x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3[/tex]  

We want the positive root, so the number of teams is greater than 1000 after 3.1 years.

A similar problem is given at https://brainly.com/question/10489198

[tex]x^{2} -25+24[/tex]

Answers

Answer:

(x-24)(x-1)

Step-by-step explanation:

common sense + practice

kinda did it in my head

I NEED ANSWERS!!

THE POINTS ARE 25

Answers

Answer:

B. 1 1/3

Step-by-step explanation:

Exact Form 4/3

Decimal form 1.3

Mixed Number 1 1/3

5a+3a-4=36


Somebody please answer this

Answers

Answer:

a=4

Step-by-step explanation:

combine like terms

8a-4=36

add on both sides

8a-4+4=36+4

8a=32

divide

a=32/8

a=4

Answer:

a = 5

Step-by-step explanation:

5a+3a = 8a

8a - 4 = 36

8a - 4 + 4 = 36 + 4

8a = 40

a = 40 divied by 8

a = 5

A pipe can pump 1000 gallons of water in 4 hours.

How long would it take the pipe to fill a 2500 gallon pool?

Answers

10 hours

Step-by-step explanation:

4 hours 1000 gallon

4 hours 1000 gallon

2000 gallon

500 gallon 2 hours

Given the line below.



Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, -1). Use the box provided to submit all of your calculations and final answers.

Answers

Answer:

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

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁ ) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )

m = [tex]\frac{1-(-1)}{2-(-2)}[/tex] = [tex]\frac{1+1}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] and (x₁, y₁ ) = (- 2, - 1 ) , then

y - (- 1) = [tex]\frac{1}{2}[/tex](x - (- 2) ) , that is

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

I can’t figure out how to solve 2(x+1) = 2x+1

Answers

Answer:

[tex]2(x + 1) = 2x + 1 \\ 2x + 2 = 2x + 1 \\ collecting \: like \: terms \\ 2x - 2x = 1 - 2 \\ 1x = - 1 \\ x = - \frac{1}{1} \: \: or \: \: x = - 1[/tex]

Answer:

-1

Step-by-step explanation:

What do I do here ???

Answers

Answer: You ask others to complete your homework and then you give them a thanks and copy and paste their answer.

MIK
chocolate
20%
Dark
chocolate
45%
White
chocolate
35%
A survey was conducted to determine people's chocolate preferences. The results are shown on the circle graph.
If 500 people were surveyed, how many more people preferred dark chocolate over milk chocolate?
-0)
A)115
B)125
C)135
D)150

Answers

Answer:

B; 125

Step-by-step explanation:

45% of 500 is 225. 20% of 500 is 100

225 - 100 = 125

Hope this helps :)

Answer:

B)125

Step-by-step explanation:

i'm just guessing since i don't know the answer. I hope it's right

William is saving up to buy a new phone. He already has $23 and can save
an additional $8 per week using money from his after school job. How
much total money would William have after 10 weeks of saving? Also,
write an expression that represent the amount of money William have
saved in w weeks.

Answers

Step-by-step explanation:

current Amount of money 23

8x10=80

80+23=103

William will have 103$ after 10 weeks

What is the equation of the line parallel to y = -5x + 6 and passes through the point (6,-8)?​

Answers

Answer:

y = -5x + 22 is the equation of our parallel line

Step-by-step explanation:

remember a parallel line will have the same slope.

So let's begin by using the equation above and substituting the points.

[tex]y = - 5x + b \\ - 8 = - 5(6) + b \\ - 8 = - 30 + b \\ 30 - 8 = b \\ b = 22[/tex]

therefore our parallel line would be

[tex]y = - 5x + 22[/tex]

(d) 5x - y = 5 3x + 2y = 29​

Answers

Answer:

x=3, y=10

Step-by-step explanation:

Answer:

x = 3

y = 10

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

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