Find the equation of the line through point (1,−5) and perpendicular to y=1/8x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answers

Answer 1

Answer:

[tex]y = -8x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

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

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=1/8x+2

This line has slope [tex]\frac{1}{8}[/tex]

So, for the line we want to find the equation, we have that:

[tex]\frac{m}{8} = -1[/tex]

[tex]m = -8[/tex]

So

[tex]y = -8x + b[/tex]

Find the equation of the line through point (1,−5)

This means that when [tex]x = 1, y = -5[/tex]. We use this to find b. So:

[tex]y = -8x + b[/tex]

[tex]-5 = -8 + b[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -8x + 3[/tex]


Related Questions

Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a

Answers

We want to solve for a
-a + 7 = 2a - 8
we will add 8 to both sides and simply to
-a + 15 = 2a
We will then add a to both sides and simply to
15 = 3a
We then divide by 3 on both sides to get
a=5

Ms. Wolf goes shopping at Target and spends $38.75. Sales tax is 8%.
Enter the answer for question B: How much does she pay in total?

Answers

She spends $41.85 total

Answer:

you have to do the sales tax, times the price $3.10

then you add the $3.10 to the original price which is $41.85

Step-by-step explanation:

8. Which of these would best measure the WEIGHT of a ship?
A. Ounces
B. Pounds
C. Tons
D. Kilograms

Answers

Answer: Tons

Step-by-step explanation: A ship is SUPER heavy.

Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.

Answers

Answer:

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

Step-by-step explanation:

Probability of a seed germinating:

85% of 40%(from company A)

75% of 60%(from company B)

Then

[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

jessica has 900 feet of fencing and a very large

Answers

Answer:

wot

Step-by-step explanation:

this is not a full question I don't know what to tell ya bud

Jerry and Olivia were running a relay race. The race was 25.78 kilometers total. If Jerry ran 15.18 kilometers how far did Olivia run?

Answers

Olivia ran 10.6 kilometers

What is surface area of this? Click image

Answers

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

Luna mixes 3/4 of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cups of juice to mags. How much is left in Lunas glass?

Answers

Step-by-step explanation:

3/4+3/8

1.125-5/8

= 1/2 of juice

A floor is 7 m long and 5 m wide. A square carpet of side 4 m is laid on the floor. Find
the area of the floor that is not carpeted?

Answers

Answer:

the area of the floor that is not carpeted 19 m squared

Step-by-step explanation:

7x5 =35  m squared = area of the floor

 4x4 = 16 squared =(area of the carpeted floor)

35-16 = 19

Solve for x. 5000(2)^x = 3500(3)^x​

Answers

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966

what is the square root of 16 ​

Answers

Answer:

hello

Ur answer is

4.000

Step-by-step explanation:

thanks

Find x.
2x + 40
3x
4x
X + 50
x = [?]
y

Answers

Answer:

x=27

Step-by-step explanation:

Hey there!

the exterior angles of a quadrilateral add up to equal 360

so 360=2x+40+4x+3x+x+50

step 1 combine like terms

2x+4x+3x+x=10x

50+40=90

now we have

360=10x+90

step 2 subtract each side by 90

360-90=270

90-90 cancels out

now we have 270=10x

step 3 divide each side by 10

270/10=27

we're left with

x=27

1) The diameter of a circle is 7.5. Find the circumference to the nearest
tenth. Show all work *
Your answer

Answers

Answer:

Step-by-step explanation:circumference = pi x diameter.

Using 3.14 for pi

Circumference = 3.14 x 7.5 = 23.55

Rounded to the nearest tenth = 23.6

The circumference of the circle with a diameter of 7.5 is, C = 23.6

Used the concept of the circumference of the circle that states,

The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,

C = 2πr

Given that,

The diameter of a circle is 7.5.

Hence, The radius of a circle is,

7.5/2 = 3.75

So, The circumference of the circle with a radius of 3.75 is,

C = 2 × 3.14 × 3.75

C = 23.55

Rounded to the nearest tenth,

C = 23.6

To learn more about the circle visit:

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a school has 2 computer labs each lab has 30 computer

Answers

Answer:

the answer is 60 because 2 times 30 is 60

Step-by-step explanation:

Help me I really need this rn

Answers

Answer:

the answer is 9 please I hope i get it right

Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answers

Answer:

65 percent chance right

Step-by-step explanation:

so she opens it 13 out of 20 times, so divide 13 by 20 and you get it

Destiny bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Destiny drink?

A. 6/12 Carton
B. 9/12 Carton
C. 6/15 Carton
D. 1 Carton

Answers

Answer:

B

9/12 carton

Step-by-step explanation:

Get both fractions to have the same denominator.

So make 3 into 12 by multiplying numerator and denominator by 4.

1×4/ 3×4 = 4/12

Now you can add the fractions.

5/12 + 4/12

= 9/12 Carton

7x squared - x squared????

Answers

Answer:

6 x ²

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]7x^2-x^2=6x^2[/tex]

Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12

Answers

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

PLEASE HELP ME!?!
(2 questions)

Answers

photo math is the anwser :) just scan the question (top part only the question not the anwsers) and it will give u the anwsers u welcome :)
For the first one x = -5
Second one is x = 24

Is an example of money

Answers

Answer:

Gold coins are an example of commodity money. ... Dollar bills are an example of fiat money because their value as slips of printed paper is less than their value as money. Bank money consists of the book credit that banks extend to their depositors.

Step-by-step explanation:

Paper money is an example

PLEASE HELP ASAP
trigonometry

Answers

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(32)° = [tex]\frac{x}{14}[/tex]

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    sin(54°) = [tex]\frac{22}{x}[/tex]

     x = [tex]\frac{22}{\text{sin(54)}}[/tex]

     x = 27.19°

     x ≈ 27.2°


The design for a small counter top
is shown. What is the perimeter and
area of the counter top?

Answers

Answer:

P = 22 ft

A = 18 ft²

See picture

Step-by-step explanation:

The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).

Add all the sides together for the perimeter.

Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.

What is the slope between the points (2,5) and (6,13)

Answers

Let me = slope

m = (13 - 5)/(6 - 2)

m = 8/4

m = 2

The slope is 2.

factor the trinomial below. 6x^2-9x-6
A. 3(2x+6)(x-1)
B. 3(2x+1)(x-2)
C. 3(2x+2)(x-1)
D. 3(2x+2)(x-6)

all my points are yours for your answer

Answers

Answer:

B. 3(2x+1)(x-2)

Step-by-step explanation:

For this case we have the following trinomial:-

6x^2-9x-6

Rewriting we have:-

3(2x^2-3x-2)

Factoring we have:-

3(2x+1)(x-2)

So this is ur answer.. mark me as brainliest if answer is comfortable

I was wondering if anyone knew how to use a ti 84 to solve these. I just got one and it’s all very confusing to me.

Answers

Idaho dhhebshd is phoebe the best way for me itueituei I will get it a

ABC measures 140° and is bisected
by BD. What is mDBC= ?

Answers

Answer:

angle abc =140°

and bd bisected by bd so, bd divede angle abc.

angle dbc= angle abc / 2

angle dbc=140°/2

angle dbc=70°

The measure of angle DBC from the given figure is 70°.

The measure of angle ABC is 140°.

What is an angle bisector?

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Angle bisector BD is bisecting angle ABC equally, which is

∠ABC=∠ABD+∠DBC

⇒ 140°=∠DBC+∠DBC

⇒ 2∠DBC=140°

⇒ ∠DBC=70°

Therefore, the measure of angle DBC from the given figure is 70°.

Learn more about the angle bisector here:

https://brainly.com/question/12896755.

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please hurry!!

write the equation that represents the line​

Answers

Answer:

y = 4/5x+3.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/(x2-x1), we have points (-3,-6) and (2,-2) so

m=(-2-(-6))/(2-(-3))

m=4/5 or 0.8 so our line is now

y=0.8x+b, using point (2,-2) we can solve for b

-2=0.8(2)+b

-2=1.6+b

b=-3.6 so the line is

y=0.8x-3.6 which can also be expressed as

y=4x/5-18/5

Which is the product of 5/18 and 6?

Answers

the answer to this question is B

Can you help A B C Or D image is here

Answers

Answer:

A

Step-by-step explanation:

B should be the correct answer
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