What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line x+2y=18x+2y=18?

Answers

Answer 1

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope (m) and different y-intercepts (b)

1) Determine the slope (m)

[tex]x+2y=18[/tex]

Rearrange this equation into slope-intercept form (this will make it easier for us to identify the slope)

Subtract x from both sides to isolate 2y

[tex]x+2y-x=-x+18\\2y=-x+18[/tex]

Divide both sides by 2 to isolate y

[tex]y=-\frac{1}{2} x+9[/tex]

Now, we can see clearly that [tex]-\frac{1}{2}[/tex] is in the place of m. Because parallel lines have the same slope, [tex]-\frac{1}{2}[/tex] is therefore the slope of the line we're currently solving for. Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

[tex]y=-\frac{1}{2} x+b[/tex]

Plug in the point (8,-7)

[tex]-7=-\frac{1}{2} (8)+b\\-7=-4+b[/tex]

Add 4 to both sides

[tex]-7+4=-4+b+4\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=-\frac{1}{2} x+b[/tex]:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!


Related Questions

The volume of a right square prism is 588 cubic centimeters and its height is 12 cm. What is the length of each side of the base

Answers

Answer:

7cm

Step-by-step explanation:

588 / 12 = 49

[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49

Sam built a fence that was 54 feet 54 feet54, start text, space, f, e, e, t, end text long. She built the same length of fence each day for 6 66 days.

Answers

Answer:

Inches of fence Sam built each day = 108 inches per day

Step-by-step explanation:

Sam built a fence that was 54 feet long. She built the same length of fence each day for 6 days.

How many inches of fence did Sam build each day?

Total length of fence Sam built = 54 feet

How many inches of fence did Sam build each day?

Number of days = 6

Convert 54 feet to inches

1 feet = 12 inches

54 feet = 648 inches

Inches of fence Sam built each day = Total inches of fence built / number of days

= 648 inches / 6 days

= 108 inches per day

Inches of fence Sam built each day = 108 inches per day

what is the area of the truck? ​

Answers

Answer:

yes because the truck is smaller than the parking space. the area is 66.25 sq. ft

Step-by-step explanation:


(-5,1) (4,4) slope=​

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Use the slope formula:

slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\frac{1}{3}[/tex]

Let:

[tex](x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\[/tex]

Plug in the corresponding numbers to the corresponding variables:

[tex]m = \frac{4 - 1}{4 - (-5)} = \frac{3}{4 + 5} = \frac{3}{9}[/tex]

Simplify the fraction. Divide common factors from both the numerator and denominator:

[tex]\frac{(\frac{3}{9} )}{\frac{3}{3} } = \frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] is your answer.

~

Answer:

1/3

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Y₂= 4

Y₁=1

X₂= 4

X₁= (-5)

Solve.

4-1/4-(-5)

4-1=3

4+5=9

=3/9

Divide.

3/3=1

9/3=3

=1/3

[tex]\large\boxed{\dfrac{1}{3}}[/tex]

Therefore, the slope is 1/3.

what is -7 + 1/3?
10 points pls answer

Answers

-6 and 2/3 is the correct answer.

Answer:

-6 2/3

Step-by-step explanation:

please help me!! no links<3

Answers

A is correct.
A sum is addition
Square is represented by small 2


Answer: A

12, 15, 18, ...
Find the 32nd term.

Answers

105 is the 32nd term
The answer for the 32nd term is 105

what is the area of the trapezoid ​

Answers

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!

Answers

Answer:

1. How many packages are delivered each hour.

2. Find the correlating variable on the graph.

3. 105 packages

4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.

Robert bought a house with a 6 percent interest rate. Three months later, the rate dropped to 4.35 percent. Robert was frustrated that he bought his house at the wrong time. What type of risk does this BEST demonstrate? A. Income risk B. Interest rate risk C. Personal risk D. Inflation risk

Answers

Answer:

b

Step-by-step explanation:

Interest rate risk is the risk that a fall in interest rate would decrease the value of a fixed rate investment. e.g. bonds , real estate.

Interest rate dropped 3 months after the house was bought. Robert is facing interest rate risk

Income risk is the risk that the stream of income received from a particular investment would drop as a result of a fall in interest rate.

Inflation risk is the risk that inflation would decrease the value of an investment

Answer:

b

Step-by-step explanation:

At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22. 8 12. 5 What is the probability that a customer ordered a large given that he or she ordered a hot drink? Rounded to the nearest percent, [ ? ]%​

Answers

Answer: 29%

Step-by-step explanation:

This is correct on acellus :)

The probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

What is Probability ?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trials

The probability is represented as:

P(Large | Hot)

This is calculated using:

P(Large | Hot) = n(Large and hot)/n(hot)

Using the data on the given table, we have:

P(Large | Hot)  = 22/(8 + 12 + 5)

P(Large | Hot)  = 0.88

In percentage

P(Large | Hot)  = 88%

Hence, the probability that a customer ordered a large given that he or she ordered a hot drink is 88 % .

To know more about Probability

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I need help please no links!

Answers

Answer:

It will be 8 meters long.

[tex]l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m[/tex]

Choose the congruence theorem that you
would use to prove the triangles congruent.

AAS

ASA

SSS

SAS

Answers

AAS because it has two angles and a side

Answer :

ASA

ASA stands for “Angle, Side, Angle”. ASA refers to any two angles and the included side.

Element X decays radioactively with a half life of 11 minutes. If there are 790 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?

Answers

Answer:

47.34158

rounded to the nearest tenth of a minute: 47.3

How much money would you have if you invested $2500 at 5.75% annual interest, compounded quarterly for 5 years

Answers

Answer:

[tex]A\simeq3325.91[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2500

[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]

t = 5

n = 4 (quarterly in a year)

Then,

[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]

A man is filling an empty 5-gallon bucket with water at a constant rate. There are
2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what
rate, in gallons per minute, is the man filling the bucket?

Answers

Answer:

12 / 2.4 = 5

Step-by-step explanation:

So the man is filling the bucket at 5 gallons per minute.

Dont trust me I just did the math and that is what I got....

Sorry if it's wrong

Write the equation 8x-2y=10 in slope intercept form.

Answers

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex]. We can simply manipulate and rearrange the given function to be in this form:

[tex]8x-2y=10,\\-2y=-8x+10,\\\boxed{y=4x-5}[/tex]

Find y
X
45degrees
Y
7
I NEED HELP ASAP

Answers

Answer:

[tex]x=7\sqrt{2}\\y=7[/tex]

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is 180 degrees.

Y+90+45=180

Y = 45

Find x:

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

rewrite as

x=7/Sin(45)

x = 7squareroot 2

Find the last side of the triangle using the Pythagorean theorem.

y=√(7√2)^2−(7)^2

y=7

PLEASE HELP ME PLEASE!!!!

Answers

Answer:

45\

Step-by-step explanation:

it will be 8 units

hope it helps

Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches

Answers

The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.

To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.

In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:

diagonal = √(side^2 + side^2 + side^2)

Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:

diagonal = √(7^2 + 7^2 + 7^2)

diagonal = √(49 + 49 + 49)

diagonal = √147

diagonal ≈ 12.124 inches

Therefore, the correct answer is:

12 inches

This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.

For more such questions on metal rod

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If the diameter of a circle is 20 cm, what is the area? 10π cm2 20π cm2 50π cm2 100π cm2

Answers

Answer:

Half of 20 is 10(new radius)

10^2(radius being squared) = 100

Next step is to multiply by pi

100π cm2

Step-by-step explanation:

Formula of area of a circle:

πr^2

pi x radius squared

find the slope of the line going through the points (2,-3) and (-1,15) in the simplest form

Answers

Answer:

y=-2x

Step-by-step explanation:  

You could find the slope of line going through the points (2,-4) and (-1,2). It is

slope is -6/3 or -2

So the line is

Now plug in one of the points and the slope into point slope form and find the line

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

y+4=-2x+4 so

y=-2x

Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.

-4=-2(2)

2=-2(-1)

Can anyone please solve this question?? Its very important ​

Answers

Answer:17(milk):13(water)

Step-by-step explanation:milk is denser then water so its the bigger potion based on the picture, and u add all 3 cups of milk together and do the same for the water, again sorry if I am wrong

When Mayerlin goes bowling, her scores are normally distributed with a mean of 175 and a standard deviation of 13. Using the empirical rule, what percentage of the games that Mayerlin bowls does she score between 162 and 188?

Answers

Answer:

68%

Step-by-step explanation:

The Empirical rule formula is given as:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Where

μ is the population mean

σ is the population standard deviation.

Step 1

Find the number of standard deviations from the mean

μ - xσ and μ + xσ

μ = 175

σ = 13

For 162

175 - 13x = 162

175 - 162 = 13x

13 = 13x

x = 13/13

x = 1

For 188

175 + 13x = 188

13x = 188 - 175

13x = 13

x = 13/13

x = 1

Hence, the data falls with 1 standard deviation of the mean

Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%

Answer:

The answer is 68%

Step-by-step explanation:

Which rays form the sides of

Answers

Answer:

(E KL),(F,LK)

Step-by-step explanation:

I don't know how to explain it sorry but the answer is right

The two rays are  LM→ & LK→  form the angle ∠KLM

                         

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

So, here, the rays LM-> & LK-> form the angle ∠KLM.

Hence, The two rays are C. LM→ & F. LK→  form the angle ∠KLM.

To learn more on angle click:

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-3×1/4-6 please help im losing my mind

Answers

Answer:

-45/4 or -11.25

I'm pretty sure this is right hope it helps

Answer:

Simplify the expression:

Exact form:

-27/4

Decimal form:

-6.75

Mixed number:

-6 3/4

Step-by-step explanation:

The / actually means to divided.

What is 3х? ?????????????????????????????

Answers

Answer:

3x means you have three x's. Then 3x - x means you have three x's and you take away (subtract) one x. This would leave you with two x's.

Sophia started a lawn mowing business and charges a flat fee of $5.00 plus $3.50 per hour.
Sophia made $29.50. Which equation can be used to calculate the number of hours, h, that Sofia worked?

Answers

Answer:

5 + 3.5h = 29.50

Step-by-step explanation:

The flat fee means that you will be paid the money with no change to it.

So you will not multiply it.

3.5h means that you are adding 3.50 every hour according to the question

So summary:

5+3.5h = 29.50

Evaluation:

5+3.5h = 29.50

24.50 = 3.5h

h = 7

Sofia worked 7 hours

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Is the relation a function.

X Y
-2 2
-1 1
0 4
1 3
0 2

Select one:

No

Yes

Answers

Answer:

no its not a function

Step-by-step explanation:

the x-int. repeats its self

Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on this information which of the following is a reasonable conclusion ​

Answers

Answer:

25$

Step-by-step explanation:

i had this assignment before

Answer:

what are the answer choices and if 40 is an option then choose that!

Step-by-step explanation:

279/7= 39.85...

x= 40 (since you round) days

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