Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in​ slope-intercept form, if possible.
(8,1); y=-8x-1

Answers

Answer 1

Answer:

y= ⅛x

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product if the gradients of 2 perpendicular lines is -1.

Gradient of given line= -8

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

y=⅛x +c

To find the value of c, substitute a coordinate.

When x=8, y=1,

1= ⅛(8) +c

1= 1 +c

c= 1 -1

c= 0

Thus, the equation if the line is y= ⅛x.


Related Questions

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?

Answers

Answer:

[tex]\frac{7}{40}[/tex]

Step-by-step explanation:

[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]

[tex]1-\frac{33}{40}[/tex]

[tex]\frac{7}{40}=0.175[/tex]

Answer:

7/40 is still left with him.

Step-by-step explanation:

LCM 5,10,8 = 40

2/5 = (x8) = 16/40 = food

3/10 = (x4) = 12/40 = rent

1/8 = (x5) = 5/40 = other expenses.

16/40 +12/40 + 5/40 = 33/40

40/40 - 33/40 = 7/40

Select all the correct answers. Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?

Answers

Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Using the ruler postulate, find the distance between –9 and 2.

Answers

Answer:

11 units

Step-by-step explanation:

According to ruler postulate, if there are two points A with coordinate a

and point B with coordinate b, \

then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.

mathematically it can be represented as

AB = |a-b| or |b-a|

_________________________________________

in the given problem points are -9 and 2

thus distance

distance between –9 and 2  = |-9 -2| = |-11|  = 11

absolute value of -11 is 11

alternatively, distance can be calculated as

distance between –9 and 2  = |2 -(-9) | = |2 + 9 | = |-11|  = 11

hhheellllpppppppppppppppp

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Just multiply the 1 times 4

Can you guys help and put these in order?

Answers

-3, -2.5, -3/4, 1/4, 3.1, 16/5, 6. I can’t see the other numbers, so it’s just these

Which statement describes a characteristic of deposition?
Several factors affect how sediment settles.
Sediment is removed from a new surface location.
Moving water affects where sediment travels.
Rocks are broken into smaller particles.

Plz help

Answers

Answer:

The correct statements are:

A) Several factors affect how sediment settles.

C) Moving water affects where sediment travels.

E) Sediments are carried by a transport medium.

QUESTION:

I think the question is incomplete. The whole question has 1 more option and is states that check all statements that apply. The whole question was:

Which statements describe characteristics of deposition? Check all that apply.

A) Several factors affect how sediment settles.

B) Sediment is added to a new surface location.

C) Moving water affects where sediment travels.

D) Rocks are broken into smaller particles.

E) Sediments are carried by a transport medium.

If this was not your question, then you can still relate to this, as the answer would be same.

EXPLANATION:

Sediments are a mixture of different elements that are usually carried by water, air or even ice. This mixture may contain organic and inorganic particles. Several factors effect the flow and settlement of sediments, but as discussed above, they always need an transport medium to travel, and moving water serves as one.

Moving water affects where sediment travels.

Deposition is the process of accumulation of loose mineral material and organic residues on the land surface and at the bottom of water bodies.  

It occurs at the foot of the slopes, in valleys and in other negative landforms of various sizes: from sinkholes to large troughs and depressions of tectonic origin, where the accumulating deposits form thick strata that gradually turn into sedimentary rocks.

At the bottom of oceans, seas, lakes and other bodies of water, deposition is the most important exogenous process.

Learn more in https://brainly.com/question/20625095

The bridge over the river has a weight limit of 12.65 tons to cross it. The truck weighs 10.89 tons. How many tons is the truck under the weight limit

Answers

Answer:

1.76 tons

Step-by-step explanation:

12.65 minus 10.89 is equal to 1.76. If you have a calculator, you can use that to solve addition, subtraction, multiplication, and division problems.

50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)


1 50

2 45

3 40

4 35

The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:

Function 2
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.

Answers

Answer:

A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.

Step-by-step explanation:

The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.

6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.

Hope this helps! Have a great day! :)

Answer:

The answer is A

Step-by-step explanation:

-4( x^3 + x^2 -3 ) =

Answers

Answer:

[tex]-4x^3-4x^2+12[/tex]

Step-by-step explanation:

Simplify:

[tex]-4x^3-4x^2+12[/tex]

PLZ HELP ASAP!!! Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $15.00 of the total money is Peter's, how much do all five brothers have combined?
A: $3.75
B: $75
C: $60
D: 45

Answers

Answer:

c

Step-by-step explanation:

25% = 15$ so 15+15+15+15=60

Can I get some help ASAP

Answers

Answer:

The top of the ladder touches the tree 14 ft above the ground.

Step-by-step explanation:

The Pythagorean Theorem incorporates the ladder length (17.5 ft), the distance of the base of the ladder from the base of the tree (10.5 ft), and the point where the ladder touches the tree (x ft):

x^2 + 10.5^2 = 17.5^2, or

x^2 + 110.25 = 306.25.  Then x^2 = 196, and x = +14  (Answer C)

The top of the ladder touches the tree 14 ft above the ground.

Complete each statement. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank and write CanNot Be Determined (CNBD) in the spot for rule.

Is ∆GAS ≅ ∆ ______
By rule _______

Answers

Answer:

GAS=IOL by rule ASA

Step-by-step explanation:

Answer

GAS = IOL

rule is ASA

Step-by-step explanation:

Graph the solution of the inequality.
-4 < 2t < 2
PLZ HELP NOW

Answers

Answer:

B

Step-by-step explanation:

-4<= 2t <2

-4/2<= t <2/2

-2<= t <1

(Its touches -2 but doesnt touch 1)

Answer:

Firstly you have to divide by 2 to get 't' so -4/2=-2

2/2=1

so the simplified inequality= -2<t<1

< and > are both illustrated as hollow circles so on a number line put a hollow circle on -2 and 1 and attach with a line

3/11 x 3 1/4 Answer this question

Answers

Answer: 39/44

Step-by-step explanation:

3 1/4 = 13/4

13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44

The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.

To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.

To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.

3 1/4

= (3 x 4 + 1) / 4

= 13/4

Now we can multiply 3/11 by 13/4:

(3/11) x (13/4)

= (3 x 13) / (11 x 4)

= 39/44

Therefore, the product of 3/11 and 3 1/4 is 39/44.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ6

I need some help with this question.

Answers

Where’s the picture or the question ? Idk how to help you if there isn’t no picture or question

Monyne Phillips three coins. What is the probability that the first second and third Cornwall in the same way (either all heads or or tails) SHOW YOUR WORK

Answers

Answer:

1 in 8 chance.

Step-by-step explanation:

When a coin flips is has two outcomes: heads or tails, obviously.

Whenever you have a 50/50 probability, in this case a coin, every time you add another coin the amount of outcomes squares, or multiplies by the number of outcomes, and since we are using a coin, two. To reiterate, say we were using a die, a die is a cube, a six sided shape, so there are six outcomes. The chances of getting all sixes with one die is 1 in 6. Add another die and try to get all sixes, the chances become 1 in 36. We got this by multiplying our out comes by our outcomes

1 coin: 2 outcomes

2 coins: 4 outcomes

3 coins: 8 outcomes

Another thing:

Don't be fooled by questions being specific by saying "all heads" or "all tails"...

This is a wording trick, no matter the outcome, the chances will always be equal.

Good luck :)

Use Pythagorean’s Theorem

Answers

Answer:

x =3.9

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2

x^2 + (5x)^2 = 20 ^2

x^2 + 25x^2 = 400

Combine like terms

26 x^2 = 400

Divide each side by 26

x^2 = 400/26

Take the square root of each side

sqrt(x^2) = sqrt(400/26)

x = sqrt(400/26)

x =3.922322703

Rounding to the nearest tenth

x =3.9

Answer:

3.9

Step-by-step explanation:

:)

i cant get the symbold so i had to do it like this :)​

Answers

Answer:

b

Step-by-step explanation:

it’s answer b

9 is bigger than x

The frequency distribution of weights (in kg) of 40 persons is given below.
Weights (in kg)
30 - 35
35 - 40
40 - 45
45 - 50
50 - 55
Frequency
6
13
14
4
3
(a) What is the lower limit of fourth-class interval?
(b) What is the class size of each class interval?
(c ) Which class interval has the highest frequency?
(d) Find the class marks of all the class intervals?

Answers

Answer: (a) 4

(b) 5

(c) 14

(d)

Class interval       Class mark

30 - 35                       [tex]\dfrac{35+30}{2}=32.5[/tex]

35 - 40                       [tex]\dfrac{35+40}{2}=37.5[/tex]

40 - 45                        [tex]\dfrac{40+45}{2}=42.5[/tex]

45 - 50                        [tex]\dfrac{45+50}{2}=47.5[/tex]

50 - 55                        [tex]\dfrac{50+55}{2}=52.5[/tex]

Step-by-step explanation:

The data of 40 persons is given as :

Weights (in kg)    Frequency

30 - 35                  6

35 - 40                   13

40 - 45                   14

45 - 50                   4

50 - 55                  3

(a)

Lower limit is the lowest number in a class interval .

So, is the lower limit of fourth-class interval (45 - 50) is 4.

(b)

Class size = Upper limit - lower limit

So, Class size of first class interval = 35-30=5

Thus , class size of each interval is 5. [ class size remains same]

(c)

Highest frequency in table = 14 which is corresponding to 40 - 45   .

Thus , 40 - 45  is the class interval has the highest frequency.

(d)

Class mark is the mid value of each class interval.

Class interval = [tex]\dfrac{(\text{Upper limit+Lower limit})}{2}[/tex]

Class interval       Class mark

30 - 35                       [tex]\dfrac{35+30}{2}=32.5[/tex]

35 - 40                       [tex]\dfrac{35+40}{2}=37.5[/tex]

40 - 45                        [tex]\dfrac{40+45}{2}=42.5[/tex]

45 - 50                        [tex]\dfrac{45+50}{2}=47.5[/tex]

50 - 55                        [tex]\dfrac{50+55}{2}=52.5[/tex]

A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.

Answers

Answer: 3150 miles

Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!

Find the surface area.

Answers

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

896.81 is the answer

I need help on these two questions please.

Answers

Answer:

They are similar

Step-by-step explanation:

I need help with this

Answers

X1,Y1 =(-1,6)
X2,Y1=(2,-3)

The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park

Answers

Answer:

its 65

Step-by-step explanation:

y= 3x+7
y = -2x-3
What would be the x and y for that solution

Answers

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

x = -2

y = 1

Express the quotient in simplest form.

Answers

Answer:

(x-2)

----------------

x^3

Step-by-step explanation:

(x^2 -4)        x^3 -x^2 -6x

------------     ÷ ---------------------

x^3 + 7x^2        x^2 +4x -21

Copy dot flip

(x^2 -4)            x^2 +4x -21

------------     *  ---------------------

x^3 + 7x^2         x^3 -x^2 -6x

Factor

(x-2)(x+2)        (x+7)(x-3)

------------     *  ---------------------

x^2(x+7)         x(x-3)(x+2)

Cancel like terms

(x-2)                  1

------------     *  ---------------------

x^2                     x

(x-2)

----------------

x^3

Solve the equation using the Quadratic Formula: *

x2 – 3x + 3 = 5x + 1

Answers

Answer:

please mark brainly

Step-by-step explanation:

Answer:

Exact form : x = 4 ± √14

Decimal form : x 7.74165738..., 0.25834261...

                     

Step-by-step explanation:

I hope this helps you out. ☺

Use the drop-down menus to complete each statement to describe the relationship
between the number of inches and the number of centimeters.

Answers

Answer:

Step-by-step explanation:

2.54 centimeters = 1 inch

15.24 centimeters = 6 inches

I don't know what other relationships they want :)

Please help me with the question below

Answers

Answer: B) y=4n+8

Step-by-step explanation:

in these type of questions, I use the strategy of trial and error, lets look at the first choice, y=4n+12, if we look at the first term, and substitute the numbers on the equation, we would get y=4(1)+12, which is y=16 which tells us that there are 16 shaded squares in the first term which is not true, then we move on to the next answer. Using this strategy, there is only one answer that makes sense which is B) y=4n+8, Just to make sure if we look at the first term, and use the formula, we get y=4(1)+8, which gives us y=12 which is true.

Hope it helped

Which equation matches these solutions? x = 5, -7
Group of answer choices

(x + 5)(x + 7)=0

(x + 5)(x - 7)=0

(x - 5)(x + 7)=0

(x - 5)(x - 7)=0

Answers

(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
Answer

The answer is the first one
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