write the equation of the line that has the indicated slope and contains the indicated point. express the final equation in standard form. m= 1/2, (6,8)

Answers

Answer 1

Answer:

[tex]x - 2y = -10[/tex]  

Step-by-step explanation:

1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:

[tex]y-8 = \frac{1}{2} (x-6)[/tex]

2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.

[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]

So, the answer is [tex]x - 2y = -10[/tex].


Related Questions

13.068 the same as 13.608

Answers

Answer:

No its not

Step-by-step explanation:

13.603 is more then 13.068  

Solve 4r2 – 5 = 59
{± 3}


{± 4}


{± 5}


{±6}

Answers

9514 1404 393

Answer:

  (b)  ±4

Step-by-step explanation:

  4r^2 -5 = 59 . . . . given

  4r^2 = 64 . . . . . . . add 5

  r^2 = 16 . . . . . . . . . divide by 4

  r = ±4 . . . . . . . . . . . take the square root

HELP ME PLEASE TO THIS QUESTION

Answers

Answer:

510 miles, 204/3 = 68

68x7.5= 510

There u go :)

WITH STEPS PLEASEE..

Answers

Answer:

16+3y=31

3y=31-16

3y=15

y=15/3

y=5

check.

16+3×5

=16+15

=31

The answer for this is Y=5

Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1

Answers

Answer: C) 4

Step-by-step explanation:

The chi-square test should have 4 degrees of freedom

The categories of students are:

Sophomore, junior, and senior students

The categories of response are:

.agree with the increase, do not agree with the increase, no opinion

There are three (3) categories of students and three (3) categories of response.

So, the degrees of freedom is calculated as:

[tex]df = (r -1) * (c -1)[/tex]

Where:

r = 3 i.e. categories of students

c = 3 i.e. categories of response.

This gives

[tex]df = (3 -1) * (3 -1)[/tex]

[tex]df = 2 * 2[/tex]

[tex]df = 4[/tex]

Hence, the chi-square test should have 4 degrees of freedom

Read more about chi-square test at:

https://brainly.com/question/4543358

Jessica is making a cake. The recipe calls for 2 3/4 cups of flour. She only has a measuring cup that holds 1/4 cup. Explain how she can use the measuring cup that holds 1/4 cup to measure 2 3/4 cups of flour.

Answers

Answer: Jessica can use her measuring cup 11 times.

(hope this helps!)

A chemist mixed two samples together: a gray liquid that boils at 103°C and a colorless gas that boils at 19°C. She analyzed the results and found two ending substances. One of the ending substances was a pink liquid. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?

Answers

Answer:

Its C

Step-by-step explanation:

Diagram c to the left shows the repeating groups of atoms that make up the samples the chemist mixed together.

What is atoms?

Atoms are the smallest unit of matter that make up all physical objects. Atoms are composed of three main components: protons, neutrons, and electrons. Protons and neutrons are found in the nucleus of the atom and have a positive charge, while electrons orbit the nucleus and have a negative charge.

here, we have,

we know that,

Atoms can join together to form molecules, which are the building blocks of all matter. Atoms of different elements can join together in different ways to form compounds and these compounds are the basis of all substances. Atoms are also the basis of all chemical reactions and can exist in different physical states, such as solid, liquid, or gas. Atoms can also be combined to form isotopes, which are atoms of the same element with different numbers of neutrons.

To learn more about atoms

brainly.com/question/6258301

#SPJ2

complete question:

11. A chemist mixed two samples together: a brown solid that melts at about 1,300°C and a colorless liquid that melts at about 20°C. She analyzed the results and found two ending substances. One of the ending substances melts at about 250°C. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?

If I have 2 apples and take away 1 apple, how many peanuts do I have left?

Answers

Answer:

Cannot be determined with the information given in and of itself.

Step-by-step explanation:

You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.

I would appreciate Brainliest, but no worries.

Answer:

0

Step-by-step explanation:

if you have 2 and you take one away you have 1,

you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.

Candice wanted to get into shape for the tennis match. Her coach said she needed to include running for at least 10 minutes a day. This week Candice ran every day for 12 minutes. What is the total distance Candice ran?

A. The missing information is the distance Candice can run per minute.
B. The missing information is there are 7 days in 1 week.
C. The missing information is the distance Candice can run in one day.
D. The missing information is the amount of time Candice has to get into shape before the match.

Answers

Answer:

The answer is C.

Step-by-step explanation:

They don't explain how to find the total distance Candice ran.

Answer:

C

Step-by-step explanation:

Question 4

1p

Given the chart below, calculate the number of days one

could expect to have off due to hurricanes. Round to the nearest

day (enter your answer as a number only, you don't need to write "days" at the

end)

Number of Hurricane Days Each School Year

1

2

3

4

0

5

6

7

Days:

Chances of

having that

many days oft:

03

02

0.25

0.2

0.02

0.01

0.01

0.01

Answers

Answer:

2

Step-by-step explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

[tex]E(x) = \sum x * f[/tex]

Where

x = days

f = chances

So, we have:

[tex]E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3 * 0.2 + 4 * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01[/tex]

[tex]E(x) = 1.56[/tex]

[tex]E(x) \approx 2[/tex]

The length of the arc which subtends an angle 60° at
the centre of a circle of radius 3 cm is approximately​

Answers

Answer:

π cm

Step-by-step explanation:

The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.

In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is

s = (3 cm)(π/3) = π cm

The daily cost, in dollars, to produce
x
gallons of handmade ice cream is
C
(
x
)
=
x
+
11
. The price-demand function, in dollars per gallon, is
p
(
x
)
=

0.15
x
+
20.8

Find the daily profit function.
Find the maximum daily profit. any gallons of ice cream need to be sold each day to maximize the profit.
Find the price to charge per gallon to maximize profit

Answers

9514 1404 393

Answer:

f(x) = -0.15x^2 +19.8x -11 . . . profit function$642.40 maximum daily profit66 gallons sold$10.90 per gallon

Step-by-step explanation:

Given:

  daily cost function c(x) = x +11

  price-demand function p(x) = -0.15x +20.8

Find:

  daily profit function

  maximum daily profit

  quantity sold for maximum profit

  price for maximum profit

Solution:

The revenue is the product of price and demand:

  x·p(x) = -0.15x^2 +20.8x

The profit is the difference between revenue and cost:

  f(x) = x·p(x) -c(x) = -0.15x^2 +20.8x -x -11

  f(x) = -0.15x^2 +19.8x -11 . . . . . daily profit function

__

The maximum profit will be had a the vertex of the curve, found where ...

  x = -(19.8)/(2(-0.15)) = 66

  f(66) = (-0.15·66 +19.8)66 -11 = 9.9·66 -11 = 642.40

The maximum profit is $642.40, when 66 gallons of ice cream are sold.

__

The price that will result in demand of 66 gallons of ice cream is ...

  p(66) = -0.15(66) +20.8 = 10.9

The price to charge per gallon to maximize profit is $10.90.

What is the answer please help no links no links

Answers

The lateral surface area is 144 cm squared (lateral surface area means that you don’t count the base right?)
6 times 12 = 72 cm squared
72 divided by 2 = 36 cm squared
36 times 4 = 144 centimeters squared
(total surface area would be 180 cm squared)

Multiply.
(5v+6w-7)(-3)
Simplify your answer.

Answers

Answer:

if my calculator is not wrong Is 21


The manager of a restaurant recorded how many people were in different groups of
customers and how much those groups spent on food and beverages. The scatterplot below
shows the data she recorded.

Answers

Answer:

$135

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hows it goin my boi

Help please question in the picture

Answers

Answer:

17.5

Step-by-step explanation:

The area of a triangle is (height*base)divided by two

(the eight is really unnecessary)

so 7=base

8=height

7*5=35

35/2=17.5

Select all statements that are true.
An acute triangle can be equilateral
An obtuse triangle can have more than one obtuse angle.
An equilateral triangle is always equiangular.
A right triangle can be scalene.
An acute triangle can be sosceles
A scalene triangle can be equilateral


Answers

The true statements are as follows

An acute triangle can be equilateral .An equilateral triangle is always equiangular. A right triangle can be scalene. An acute triangle can be isosceles.

The following statements considered to be false:

An obtuse triangle can have more than one obtuse angle.A scalene triangle can be equilateral.

Therefore, the above statements are considered true.

Learn more: brainly.com/question/17429689

PLEASE HELP DUE IN 2 HOURS!


4.22 g/cm to lbs/ft

Answers

Answer:

The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.

Step-by-step explanation:

In order to solve, divide the mass / length value by 14.882.

I hope this helps you.

please help me fast thankss​

Answers

Answer:

it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5

Answer:

2.5 kilograms of chocolate

Step-by-step explanation:


Which of the following is √80 simplified?

Answers

It’s 2x+2y-7
2y_
Ga “5-6”(5)

Rename 5/12 and 7/8 using the least common denominator

Answers

Answer:

10/24 and 21/24

Step-by-step explanation:

So the least number that both 12 and 8 will divide into is 24

so 5x2/24 and 7x3/24 so the fractions are 10/24 and 21/24

Answer:

10/24 and 21/24

Step-by-step explanation:

answers for plato test

PLEASE QUICK AND NO DOWNLOADS I BEG YOU NO DOWNLOADS

Answers

Answer:

b. x=20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The question is asking which number is bigger than 19 and less than 25.

The only one that fits the criteria is B. 20.

As a reference, look at which way the "alligator mouth" is facing. That number is supposed to be bigger.

If x>y, then x is bigger because the alligator mouth is facing the x.

Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can you do 1 and 4 thanks!! :)))

Answers

Circumference = pi x diameter

Pi = 3.142


Answer for Q1 = 18.852

6 x 3.142 = 18.852


Answer for Q4 = 25.136

As it gives the radius, you gotta double the radius to get the diameter of the circle

8 x 3.142 = 25.136


Hope this helps :]

If ∆SDE ~ ∆SWT, find WT.

Answers

It’s is 3/78 as the answer to this problem/question you have

What is the value of the expression below? 7/10÷3/8
A.21/80
B.1 13/15
C.3 17/21
D.15/28

Answers

7/10 divided by 3/8

7/10 x 8/3 = 56/30
56/30 divided by 2 = 28/15 = 1 13/15

The answer is B. 1 13/15

I NEED HELP ASAP PLEASE

Answers

It would be c.

2(4x6)= 48
2(6x10)= 120
2(4x10)= 80

48+120+80= 248!:)
it’s a just multiply

Draw a plane intersecting a cube to get the cross section indicated. rectangle


OA
OB
OC
OD​

Answers

I think the answer is OA

Solve for x....................................

Answers

Answer:

x = 4.5 is the answer to the question

Solve the Following Inequality Select the possible range of solution to make the Statement True.

-6m < -24

Group of answer choices

1, 2, 3

-1, -2, -3

4, 5, 6

-, 4, -5, -6

Answers

Answer:

4, 5, 6

Step-by-step explanation:

- 6m < -24

-m < -4

m > 4

m has to be greater than 4

What is the value of the expression 8 divided by 12?

Answers

Answer:

2/3 or .66666666

Step-by-step explanation:

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