a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?

Answers

Answer 1

Answer:

y = 4x + 6

Step-by-step explanation:

Turn the equation we are given into slope-intercept form.

y - 5 = -1/4(x + 8)

y - 5 = -1/4x - 2

y = -1/4x + 3

The slope of a perpendicular line is the opposite reciprocal of the original line.

-1/4 -> 4/1 -> 4

Find the new y-intercept using the point given.

y = 4x + b

2 = 4(-1) + b

2 = -4 + b

6 = b

Fill in everything we solved for.

y = 4x + 6

Best of Luck!


Related Questions

HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.

A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20

Answers

Answer:

C

Step-by-step explanation:

(45+(15))/3=20

Find the surface area of the cube shown below

Answers

Answer:

the answer is 37.5cm^2

A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second for months. How much did the baby gain in the last four months?

Answers

Answer:

3.25lbs in the last 4 months

Step-by-step explanation:

Which two ratios form a proportion?
3:4 and 6:12
3:4 and 9:15
3:4 and 12:18
3:4 and 15:20

Answers

Answer:

3:4 and 15:20

Step-by-step explanation:

The answer is the fourth one because 3:4 and 15:20 are equivalent, so there's your answer. Hope it helps!

A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950

Answers

Answer:

J. $950

Step-by-step explanation:

p(n)= 10n-50

p(n)=10(100)-50

P(n)=1000-50

950

The answer is j-950

What is the value of 120?

Answers

It would be -1/2 I think
the answer is -1/2. have a good day!

2. Jonas measured ZDCG to be 56° and ZDCF to be 124. He wants to verify that DCF is
124° using the Angle Addition Postulate.
O
124° + 180°
D
124-56°
180°-56°
7
180° +56°
CLEAR ALL
Which is the correct calculation Jonas must use?

Answers

Answer:

The correct calculation is 180 - 56

Step-by-step explanation:

From the question, we have DCG and DCF

looking at the diagram, we can see that both lie on a straight line and are a linear pair

So the addition of both will give 180

But DCG is 56

So;

DCF + 56 = 180

So;

DCF = 180 - 56

Can someone help me out on this?

Answers

Answer:

<NMP and <QPR

Step-by-step explanation:

Look up corresponding angle examples. these angles are corresponding.

Think about the methods you have for comparing two probabilities to decide which is greater. In your Learning Log, create an example and explain two different strategies for comparing probabilities. Title this entry "Comparing Probabilities" and label it with today's date.

Answers

Answer:

Step-by-step explanation:

Probabilities are basically values determining how likely something is to happen. These values are usually represented in fractions or percentages which are the two main strategies as well for comparing probabilities. For comparing probabilities through fractions we would try to make sure the denominators are equal and then compare the numerators. The higher numerator is the probability with the highest chance of something happening. For example...

[tex]\frac{3}{4} > \frac{1}{4}[/tex]  ... 3/4 is a much higher probability than 1/4

The second strategy would be using percentages in the same way. The higher percentage is the one with the highest probability while the lower percentage is the one with the lower probability.

96%  >   54%

PLS HELP ILL MARK YOU BRAINEST DUE SOON

Answers

Answer:

A, B, C, D or simplify all of them

Step-by-step explanation:

Answer:

all 4 of them

Step-by-step explanation:

a. 29x + 92 = 29x - 11

   0x + 92 = -11

   0x ≠ -103

b. 29x + 11 =  29x - 11

   0x + 11 = -11

   0x = -22

   0 ≠ -22

c. 29x - 29 = 29x - 11

   0x = 18

   0 ≠ 18

d. 29x + 29 = 29x - 11

  0x + 29 = -11

  0x = -40

  0 ≠ 40

Early in November, it was 37​ O​ F on a particular day. The temperature has dropped 2​ O​ F every day since then. It is now -11​ O​ F. How many days have passed since it was 37​ O​ F outside?

Answers

14 days have passed since it was 37°F outside.

If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?

Answers

Answer:

3hours and 15 mins

Step-by-step explanation:

210 divied by 3=70

70=per hour

4 hours=280

70 divied by 2= 35

.5=35

280+35=315

315 miles in 4.5 hours

The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).

Convert 50°C to °F.

Answers

Answer:

122

Step-by-step explanation:

Clara lends half her collection of formal attires to her sister, Susan. Clara then buys four more attires. If she has 12 attires now, how many attires did Clara had initially?

Write the equation to be used to solve this equation.

Answers

Answer:

i think 4 attires

Step-by-step explanation:

Solving each proportions 10/8=n/10

Answers

Answer:

n=12.5

Step-by-step explanation:

10/8=n/10

multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5


1. A day care center has 52 children. Each teacher has the same number
of children. How many children could each teacher at the center
have?

Answers

Answer:

It depends on how many teacher has

Step-by-step explanation:

52 children divided by number of teacher

is 10/2 an irrational number?

Answers

Answer:

yes it is because it is expressed in the form of a p/q

Step-by-step explanation:

If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.

so yes 10/2 is a rational number

oh and i mean yes its rational no its not irrational :)

No, it is not an irrational number.

Irrational numbers are those who cannot be turned into a fraction.

10/2 is a fraction. Therefore, it is a Rational number.

[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]

To do so, divide the numerator (Top number) by the denominator (Bottom number).  

Help me I need help fast it is due soon!

Answers

Answer:

400 square meters

Step-by-step explanation:

We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just [tex]bh[/tex], so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore, [tex]16 \cdot 25 = \boxed{400}[/tex] square meters is our answer

what is y=3x^2+24x+45

Answers

Factoring:
y = 3x^2 + 24x + 45
y = 3 (x^2 + 8x + 15)
y = 3 (x + 3) (x + 5)

Vertex Form:
y = (3x^2 + 24x )+ 45
y = 3 (x^2 + 8x) + 45
y = 3 (x^2 + 8x + 16) + 45 - (16•3)
y = 3 (x + 4)^2 - 3

Vertex form was done by completing the square.

15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!

Answers

Answer: No.

Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(

A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 6 + x

Step-by-step explanation:

Membership fee = $6

Fee per visit = $1

Let

x = number of visits

y = Total cost

Total cost = fixed cost + variable cost

Fixed cost = Membership fee = $6

Variable cost = Fee per visit × number of visits

= $1 * x

= $x

Total cost = fixed cost + variable cost

y = $6 + $x

y = 6 + x

A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

[tex]\displaystyle v=46.07\ Km/h[/tex]

Step-by-step explanation:

Speed

The speed is the ratio between the distance x traveled by an object and the time t taken.

[tex]\displaystyle v=\frac{x}{t}[/tex]

The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:

[tex]t = 56 / 60 = 0.933\ h[/tex]

Now apply the formula:

[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]

For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains

Answers

Answer:

24 ft of cord

Step-by-step explanation:

8ft = 3 chains

16 ft = 6 chains

24 ft = 12 chains

OR

8 x 3 =24

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. Margaret uses this theorem to simplify and rewrite the expression (b/r)^2 + (a/r)^2 using the triangle shown. Which trigonometric identity can she prove with her expression? *

Answers

Answer:

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Step-by-step explanation:

Given

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2[/tex]

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2[/tex]

Going by the Pythagoras theorem, we can assume the following.

a = Oppositeb = Adjacentr = Hypothenuse

So, we have:

[tex]Sin\theta = \frac{a}{r}[/tex]

[tex]Cos\theta = \frac{b}{r}[/tex]

Having said that:

The expression can be further simplified as:

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex]

Substitute values for sin and cos

[tex](\frac{b}{r})^2 + (\frac{a}{r})^2 = 1[/tex] becomes

[tex]cos^2\theta + sin^2\theta = 1[/tex]

Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.

Answers

Step-by-step explanation:

Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.

From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990

and 25% of  $11,990 is

(25/100)* 11,990

0.25* 11,990

$2997.5

So you can make a down payment of $2997.5

and pay the remainder of $8992.5 later

what is 30=8+4(z-2) step by step?

Answers

30=8+4(z-2)

Distribute 4 through the parentheses

30=8+4z-8

Eliminate the opposites

30=4z

Swap the sides of the equation

4z=30

Divide both sides of the equation by 4

4z÷4=30÷4

Any expression divided by itself equals 1

z=30÷4

or write the division as a fraction

z=30/4

copy the numerator and denominator of the fraction

30=2x3x5

4=2x2

Write the prime factorization of 30

Write the prime factorization of 4

30=2          x3x5

4=2x2

    2

Line up the common factors in both lists

Copy the common factors

Since there is only one common factor, the common factor 2 is also the greatest common factor

30÷2/4÷2

  2

Divide 30 and 4 by the greatest common factor 2

15/4÷2

Divide the numbers in the numerator

15/2

Divide the numbers in the denominator

15/2

The simplified expression is 15/2

That's it. hope it wasn't too hard to understand?

2xー1+2-2
solve this and show work

Answers

Answer:

2x - 1

Step-by-step explanation:

2x−1+2−2

=2x+−1+2+−2

Combine Like Terms:

=2x+−1+2+−2

=(2x)+(−1+2+−2)

=2x+−1

Answer:

x = 1/2

Step-by-step explanation:

We need to add -1 to each side of this to get rid of the -1 in the equation.

2x - 1 + 2 = 2

2x + 1 = 2

We need to subtract 1 from each side.

2x = 1

x = 0.5

Checking:

2(0.5) - 1 + 2 = 2

1 - 1 = 0 + 2 = 2 (Checks out)

ANSWER: x = 1/2

which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)

Answers

3b+b and 2(2b) would be it

Answer:

3b+b and 2(2b)

Step-by-step explanation:

BRAINLIEST APPRECIATED!

THANKS!

Simplify this equation (3√2)²​

Answers

Answer:

18

Step-by-step explanation:

It is 18. You cal simply solve it as it doesn’t have an unknown integer

4. Solve for :
a) ķx = 4

Answers

factors of 4= 4,1 and 2,2 seeing as k and x are different numbers it must be 4 and 1 or -4 and -1
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