Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = −1/2x − 3; (14, 0)

The equation is y = ?

Answers

Answer 1

Answer:

[tex]y=2x-28[/tex]

Step-by-step explanation:

Slope intercept form:

[tex]y=mx+b[/tex]

where:

m is the slope (change in the y values over the change in the x values)b is the y-intercept (where x is 0)x and y are corresponding coordinate points (x,y)

When two lines are perpendicular, their slopes will be opposite reciprocals.

examples:

[tex]\frac{1}{3}[/tex] → flip the fraction and change the sign → [tex]-3[/tex]

-5 or [tex]-\frac{5}{1}[/tex]→ flip the fraction and change the sign → [tex]\frac{1}{5}[/tex]

[tex]\frac{5}{7}[/tex] →flip the fraction and change the sign →[tex]-\frac{7}{5}[/tex]

So find the opposite reciprocal of the given slope:

[tex]y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}[/tex]

Flip the fraction and change the sign:

[tex]-\frac{1}{2}[/tex] → [tex]\frac{2}{1}[/tex] or [tex]2[/tex]

Now insert the new slope and the given points into point-slope form:

[tex]y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)[/tex]

Solve the equation for y. Use the distributive property:

[tex]y-0=2(x)+2(-14)\\\\y-0=2x-28[/tex]

Simplify:

[tex]y=2x-28[/tex]

:Done


Related Questions

Hi, Can you help me with the area and perimeter?

Answers

for the area i got 44

explain how you would find the sign of the quotient 32÷(-2)
/
-16÷4​

Answers

Answer:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Step-by-step explanation:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

HELP ILL GIVE BRAINLIEST

Answers

A would be the correct answer.

Answer:

[tex]7.09*10^{8}[/tex]

Step-by-step explanation:

In scientific notation, a number less than 10 (in this case 7.09) is the base, and it is multiplied by 10 with an exponent (in this case 8).

5 and 2/3 divided by 4?

Answers

Make them into fractions
17/3 divided by 4/1
Divide = multiply reciprocal
17/3 * 1/4 = 17/12
The answer is 17/12

Answer:

1.41 it’s a infinity answer

Step-by-step explanation:

I need help. I don’t understand it. Thanks!

Answers

Answer:

Yessss

Step-by-step explanation:

с
3
7
Solve for c.
= ✓ [?]
Enter the number that
goes beneath the
radical symbol.
C =
Enter

Answers

Answer:7.62, if not just 7.6 orr 58 read explanation lol

Step-by-step explanation:

i did the math and i doubled checked on a calculator :P,

cause you use the formula c= [tex]\sqrt{a^2+ b^2}[/tex] and in this case a^2 and b^2 is 3^2 and 7^2 and then you solve so its 9 and 49 and then add them which is 58 and then you find the square root of 58 which is 7.6 or in your case you put 58 under the square root

Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5

Answers

Answer:

the answer is A

Step-by-step explanation:

A = 4/3x-5

Answer:

Step-by-step explanation:

B

WILL GIVE BRAINLIEST!! Need answers!!! Solve
1. -2x = -8
2. -2x - 4 = -18
3. 3 (x -4) = -18
4. (X-5) = -7
5. 2 (2x-4) = -16

Answers

Answer:

1. -2x=-8, -2x/-2=-8/-2, x=4

2. -2x-4=-18, -2x=-18+4, -2x=-14, -2x/-2=-14/-2, x=7

3. 3(x-4)=-18, 3x-12=-18, 3x=-18+12, 3x=-6, 3x/3=-6/3, x=-2

4. (x-5)=-7, 1x=-7+5, 1x=-2, 1x/1=-2/1, x=-2

Answer:

1. x=4

2. x=7

3. x=-2

4. x=-2

5. x=-3

Step-by-step explanation:

1. Divide both sides by -2 to get x by itself

-2x/-2=-8/-2....

x=4

2. Add 4 to both sides and then divide by -2

-2x-4+4=-18+4

-2x/-2=-14/-2

x=7

3. Distribute, add 12 to both sides and then divide by 3

3x-12=-18

3x-12+12=-18+12

3x/3=-6/3

x=-2

4. Add 5 to both sides

x-5+5=-7+5

x=-2

5. Distribute, add 4 to both sides, divide both sides by 4

4x-4=-16

4x-4+4=-16+4

4x/4=-12/4

x=-3

A function is defined by f(x)= x/4. What is f(-8)?
- 2
- -1/2
- 1/2
- 2

Answers

Answer:

need this as quick as possible pls

Step-by-step explanation:

Answer:

[tex]f(-8)=-2[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=\frac{x}{4}[/tex]

And we want to find f(-8).

So, simply substitute -8 for x. This yields:

[tex]f(-8)=\frac{-8}{2}[/tex]

Divide:

[tex]f(-8)=-2[/tex]

Hence, our answer is -2.

What is the largest output achieved by the function? At what x-value is it hit.

Answers

Answer:  

f(1) = 4  

Step-by-step explanation:

Largest output is 4, when x=1.

4x-12=12-4x I need help solving Multi Step Equations, which variables on both sides.​

Answers

Answer:

x=  3

Step-by-step explanation:

4x+ 4 x= 12 + 12  

8x = 24

x=  24/8  

x= 3

A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month period beginning in January.

Month, x 1 2 3 4 5 6 7 8 9
Units, y 150 300 380 425 425 480 520 550 575

Which equation best models the situation?

a y=148.4 x-1-154

b y=46.4x+191.7

c y=148.4 x-1+154

d y= -46.4x+191.7

Answers

Answer:

B

Step-by-step explanation:

I took the test.

Answer:

y=148.4sq rt x-1 +154 or c

Step-by-step explanation:

PLEASE HELP WILL MAKE BRAINLIST
What is the solution to 4|x − 3| + 1 = 1?

A.
x = 3
B.
x = 3 or x = 4
C.
x = 3 or x = 6
D.
No solutions exist.

Answers

Answer:

X=3

Step-by-step explanation:

4x-12+1=1

4x=1-1+12

4x=12

x=12/4

x=3

Answer:

x=3

Step-by-step explanation:

Drag the two ordered pairs that are 5.5 units apart.
(-3, -3.5)
(-1.5, 2)
(-1.5, 2.5)
(5, 1.5) (5, -3.5)
(-1.5, -3.5)

Answers

Answer: (-1.5, 2) and (-1.5, -3.5)

Step-by-step explanation:

The distance between two points (a, b) and (c, d) is:

D = √( (a - c)^2 + (b - d)^2)

A simpler case, is when we have two points where one of the components is the same for both of them, like:

(a, b) and (a, c)

Then the distance will be:

D = √( (a - a)^2 + (b - c)^2 ) = Ib - cI

Then we need to look for points that have an equal component, and the difference between the other two components is exactly 5.5

The solution will be:

(-1.5, 2) and (-1.5, -3.5)

Where the x-component is the same in both of them, then the distance will be:

D = I2 - (-3.5)I  = I2 + 3.5I = 5.5

4x² + 20 = 0 Solve for X

Answers

Step-by-step explanation:

4x^2 + 20 = 0

divide 4 throughout:

x^2 + 5 = 0

x^2 = -5

x = ±√-5

However, you can't square root a negative number as it is a complex number / imaginary number hence you would want to conclude it as "no solution"

Two bags of bird seed are used to fill these three bird feeders. How much bird seed does each feeder use? Represent the situation using the model. Then solve

Answers

Step-by-step explanation:

If two bags of bird seed are used to fill these three bird feeders, then we can say that;

2 bags of bird seed = 3 bird feeders

To know the amount of bird seed that each feeder use, we will say;

x bags of bird seed = 1 bird feeder

Equating both postulates and solving

2 bags of bird seed = 3 bird feeders

x bags of bird seed = 1 bird feeder

Cross multiply

3 * x = 2 * 1

3x = 2

subtract 2 from both sides

3x - 2 = 2-2

3x - 2 = 0

Hence model that represents the situation us 3x - 2 = 0 where x is the number of bird seed that each feeder use.

Next is to solve for x;

3x - 2 = 0

3x = 2

x = 2/3

Hence each feeder used 2/3 bird seed

Is 0.752 a rational number?

Answers

No, Bec it can not be divided by itself? Anyway no also Bec it’s a decimal

Step-by-step explanation:

yes indeed it is rational

EQUATIONS AND INEC
Worked examples
a) Solve these simultaneous equation by eliminating by subtraction.
5a + 2b = 16 equation 1
3a + 2b = 12 equation 2​

Answers

Answer:

a=2 and b=3

Step-by-step explanation:

5(2) +2(3) = 10 +6 =16

3(2) + 2(3) = 12

Find the sum by suitable rearrangement 163+432+237+548

Answers

Answer:1380

Step-by-step explanation:

Andrew has $15 less in his piggy bank than his friend Tom. Write an algebraic expression that represents the amount of money that Andrew has in his piggy bank.

Answers

Answer:

I think the answer is is X-15

hey will give brainiest if correct

Answers

3 inches i agree too 2020

2.4 divided by 16.8 please hurry!!

Answers

0.14285714285

Calculator ;)

What is the slope of a line perpendicular to 3Y + 6X = 12?
Select one:
a. -2
b. 2
c. 1/2
d. -1/2
e. 1/6

Answers

The answer is c. 1/2
C 1/2 hope this helps!!!!!!

5. Jordan works at the car wash a few hours a week and works mowing lawns for extra money.
Because of his schoolwork, he can't work more than 10 hours per week. Write a rule to see possible
solutions for his work schedule. Let x represent hours at the car wash, and y represent the hours
mowing lawns.

Answers

Answer:

The rule is

x + y ≤ 10

Step-by-step explanation:

Here, we want to write a rule that can help get solutions for the individual work hours

The number of hours for car wash is x while the number of hours for mowing lawns is y

Since he cannot work more than 10 hours, he can still work less than 10 hours

What we just have is that the addition of both working hours must not be over 10

So the rule to write is;

x + y ≤ 10

How many 2.25-pound containers can you fill with 24.75 pounds of almonds?

Answers

Answer:

You can fill 11 containers.

Step-by-step explanation:

This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.

So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.

HELLLLPPPP MEEE PLZZZ!!!!

Answers

What happened?
I think I can help :3

Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.

Answers

y=9+9 because when you take that factor off you add 8 + 1

Which expression is equivalent to (3w−8)−4(2w+3)

Answers

Answer:

-5w -20

Step-by-step explanation:

(3w-8) -4(2w+3) start by removing the parentheses

3w-8-4(2w+3)

-5w-8-12 collect like terms

-5w-20 and that's how you get the answer

i need some help please

Answers

Answer: 2.4 x 10^8

Step-by-step explanation:

Answer: 2.4x10^8

Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8

Find the square root of 36 by prime factorisation
method​

Answers

Answer:

36

2×18

2×9×2

2×2×3×3

=> square root of 36 =6

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