Find the equation of the line through the points (-8,3) and (-4,5).

Answers

Answer 1

Answer:

[tex]2y - x = 14[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-8,3)[/tex]

[tex](x_2,y_2) = (-4,5)[/tex]

Required

The line equation

First, calculate the slope (m)

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

[tex]m = \frac{5 - 3}{-4 - (-8)}[/tex]

[tex]m = \frac{2}{4}[/tex]

[tex]m = \frac{1}{2}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

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

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

Open bracket

[tex]y = \frac{1}{2}x +4 +3[/tex]

[tex]y = \frac{1}{2}x +7[/tex]

Multiply through by 2

[tex]2y = x + 14[/tex]

[tex]2y - x = 14[/tex]


Related Questions

Please help this is due today.
I don’t need an explanation for why it’s right but please don’t just say a random answer.

Answers

Ummmm I’m not sureeeeeeeee

Choose the correct answer.

Answers

Answer:

a_23 = 5

Step-by-step explanation:

The row is the first number so in a_23 The row is a 2

The column is the second number so the column is 3

The second row is 3 9 5 1

The third column number would be 5

The answer is a

Answer:

5

Step-by-step explanation:

[tex]a^{23} = 5[/tex]

Hope this helps

One year ago today the temperature was 3 degrees colder. Five years ago today the temperature was 15 degrees warmer. Select the inequalities that correctly express the relationship between the temperature one year ago today and five years ago today with respect to today's temperature.

Answers

Therefore , the solution of the given problem of inequality comes out to be x + 15 < x - 3  and x - 3 > x + 15

An inequality is what?

In mathematics, a connection or group of integers can be an inequality without the equal sign. Equilibrium  is always followed by equity. Inequality occurs when norms are still incompatible. Disparity and fairness have distinct traits. We chose to use the most typical symbol because components aren't always equivalent or similar to one another (). Any disparity, no matter how small or large, can also be used to evaluate values.

Here,

Let x represent the weather today.

The difference between today's temperature and last year's is three degrees, so last year's temperature was x - 3.

Since the weather was 15 degrees higher five years ago, the previous temperature was x + 15.

We can use the following language to describe the relationship between the temperature today and one year ago today but instead five years ago today with respect to the current temperature:

=> x + 15 < x - 3 (five years ago temperature is less least 1 year ago temperature) 

=> x - 3 > x + 15 (one year ago temperature is bigger than five years ago temperature) 

Therefore, the proper disparities are:

=> x + 15 < x - 3

=>x - 3 > x + 15

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

Misha and Nora want to buy season passes for a ski lift but neither of them has the $225 needed to purchase a
pass. Nora decides to get a job that pays $6.25 per hour. SHe has nothing saved right now but she can work four
hours each week. Misha already has $80 and plans to save $15 of her weekly allowance. Who will be able to
purchase a pass first? Show all your work and explain your reasoning.

Answers

Answer:

Step-by-step explanation know him just a joke just know class kids know from its young

From the top of a lighthouse the angle of depression of a speed
boat is 35º. The boat is 134 meters from the base of the
lighthouse. Find the distance from the top of the lighthouse to the
boat.

Answers

Answer:

164m (to 3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

The point (0,0) on a coordinate grid is called

Answers

Answer:

origin

hope this helps!

Step-by-step explanation:

Answer:

Origin

Step-by-step explanation:

The origin of the graph (0,0) is the point where the two y and x axes intercept.

The origin determines every other point of the graph.  

Hope this helps!

how many do they have

Answers

Answer:

333

335

355

555

533

553

353

535

so I think 8

Determining a Better Choice
Last year, Ron had made an 18% percent error when he
bought 168 notebooks and customers needed 200. This
year, he made a 24% error when he bought 310
notebooks and sold only 250. Compare the percent errors
for the two years and determine which year Ron made a
better estimate.
I

Answers

Answer:

Last year the percent of error was lower than this year. The smaller the percent of error, the closer the estimate is to the exact value. Last year, Ron made a better estimate.

A bag with 6 marbles has 3 red marbles, 1 blue marble, and 2 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is
red?
Write your answer as a fraction in simplest form


PLEASE HELP URGENT ❤️ I will give brainlest to first person

Answers

I believe it’s 1/2 because 3/6 chances it’ll be a red marble. And 3/6 is also 1/2

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2


The equation y = 10x shows how the
cost relates to the number of hours.
How much does it cost to rent a canoe
for 8 hours?

Answers

$80.00 hope this helps!

Can someone please help me what's the answer?

Answers

Answer:

k=77

Step-by-step explanation:

put this as the equation k/11=7

what divided by 11 equals 7. Just multiply 11 and 7 to get the answer.

Help please help. Need answer ASAP. 15 points. Help help help.

Answers

Answer:

ㅜ료우료ㅠㅠㅗ프ㅡㅓ효유ㅠ슈유슈뤂ㄹ푸ㅛㅜㅠ로휴ㅜ휴ㅐㅓㄴㅁㄱ무홈

Step-by-step explanation:

쵸푳퓨추르ㅛㅛㅠ롰ㄹ류ㅗ슔ㄹㅅ휴ㅗ료ㅓㅕ

What is 75% of 162? Show your work and/or explain your reasoning.

Answers

Answer:

121.5

Step-by-step explanation:

75% =  75/100

Step 2 - Mutiply percenatge fraction by the entire (100%) quantity

75/100× 162 = 121.5

Final result

75 percent of 162 is 121.5

Answer:

121.5

Step-by-step explanation:

| percantage x 100% |

75/100 x 162 = 121.5

Melinda kept a record of her spending for the week. She spent $25 to put gas in the car, bought a new shirt for a total of $22.38, played putt-putt golf with some friends that cost $6.95 and paid $38.71 for a few groceries. What was the total of Melinda’s expenses for the week?
a.
$68.24
b.
$86.09
c.
$91.94
d.
$93.04

Answers

D.$93.04
$25+$22.38+$6.95+$38.71 = $93.04

Answer:

D.$93.04

$25+$22.38+$6.95+$38.71 = $93.04

HELP with this question if it’s possible can u show work and not just a answer pls

NO LINKS OR SCAMS WILL GET REPORTED

Answers

Answer: 1-14' 1" is prob. your width

Step-by-step explanation:

i can’t find out length Sorry.

Step-by-step explanation:

Scale : 4 in = 5ft.

1 in. = 5/4 = 1.25 ft

Actual length = 25 x 1.25 = 31.25 ft.

Actual width = 16 x 1.25 = 20 ft

Actual area = actual length x actual width

= 31.25 x 20

= 625 ft²

What is another name for angle 1? 1.∠JNL 2. ∠N 3. ∠MNK 4.∠NLJ

Answers

Answer:

1. <JNL

Step-by-step explanation:

Point N is the vertex of angle 1. Therefore, we can give <1 another name by using 3 letters which includes the letter of vertex point in the middle, and two other letters of the two rays that meets at the vertex point.

Thus, JN and LN meets at point N. Therefore angle 1 can be named as:

<JNL

An old cell phone battery would last for 16 hours. The new battery lasts 25% longer. How long will the new battery last?​

Answers

Answer:

20 hours

Step-by-step explanation:

To find the answer, you first should find out how long is 25% of the original battery life, 16 hours. To find this, you can divide 16 by 4, or multiply 16 by 0.25. Either works.

16/4=4.

So the new battery lasts 4 hours more than the old battery. Then, add this to the original length to find how long the new battery will last in total.

16+4=20


There are 24 students in a class. Only -- of the students remembered to bring their hat and mittens to class.
How many students forgot to bring their hat and mittens?

Answers

Answer:

6

Step-by-step explanation:

Answer:

22?

Step-by-step explanation:

24-2=22?????

What is the amplitude of 1-sin 2πx/3? Please explain.

Answers

Answer:

a=-1

b=[tex]\frac{2\pi }{3}[/tex]

c=0

d=0

Step-by-step explanation:

Ramps in a parking garage need to be safe and steep. The maximum safe incline for a ramp at 8.5°. Is this ramp safe? Explain how you know using your math to justify your answer.
NEED ASAP PLEASE

Answers

Answer:

No. It is not safe.

Step-by-step explanation:

If the maximum safe incline for a ramp is said to be 8.5°, it means that the incline of any ramp that is greater than 8.5° is not safe.

Let's find the angle measure of the incline in the diagram given to ascertain whether it is safe or not.

Opposite side to angle of inclination = 20

Adjacent side to angle of inclination = 100

Apply the trigonometric function, TOA, which is:

Tan θ = Opp/Adjacent

Tan θ = 20/100

Tan θ = 0.2

θ = Tan^{-1}(0.2)

θ = 11.3099325° ≈ 11.3°

Angle of inclination for the ramp shown = 11.3°.

This is not safe because it has exceeded the maximum safe incline for a ramp which should be 8.5° maximum.

In a multiple regression analysis, two independent variables are considered, and the sample size is 30. The regression coefficients and the standard errors are as follows. b1 = 2.815 Sb1 = 0.75 b2 = −1.249 Sb2 = 0.41 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) H0: β1 = 0 H0: β2 = 0 H1: β1 ≠ 0 H1: β2 ≠ 0 H0 is rejected if t < −2.074 or t > 2.074

Answers

Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Part 1: Identify key features and graph a parabola from standard form.
Answer the following questions to determine the key features of the parabola based on the
equation shown, and then graph it
12(x + 3) = (y-2)^2


a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1
point)


b) What is the vertex of the parabola? (1 point)


c) What is the focus of the parabola? (2 points)


d) What is the directrix of the parabola? (2 points)


e) Sketch a graph of the parabola and label the vertex,focus, directrix, and axis of symmetry (4 points)

Answers

Answer:

a) What is the axis of symmetry of the parabola? Explain how to determine this from the equation (1

point)

b) What is the vertex of the parabola? (1 point)

Step-by-step explanation:

Substitution method. Help!

Answers

Answer:

(2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 3x - 4

2y = -x + 6

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  2(3x - 4) = -x + 6[Distributive Property] Distribute 2:                                                                 6x - 8 = -x + 6[Addition Property of Equality] Add x on both sides:                                   7x - 8 = 6[Addition Property of Equality] Add 8 on both sides:                                    7x = 14[Division Property of Equality] Divide 7 on both sides:                                  x = 2

Step 3: Solve for y

Substitute in x [Original Equation]:                                                                  y = 3(2) - 4Multiply:                                                                                                             y = 6 - 4Subtract:                                                                                                            y = 2

what is the measurement of jkl​

Answers

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

Given that y = } 1/2(x1 + x2)c, what is y when X 1 = 3, X2 = 5, and c = 6?

Answers

Answer:

24

Step-by-step explanation:

1/2(x1+x2)c x1=3 , x2=5 , c=6

:- 1/2(3+5)6 ( BODMAS)

:- 1/2(8)6 divide 8 by 1/2

:- (4)6 multiply both of them and the result = 24

Which figures are polygons? Select each correct answer.Figure A, Figure B, Figure C, Figure D​

Answers

Answer:

Figures A, B, and C are polygons

Step-by-step explanation:

Figure D is not a polygon because a polygon must consist only of straight lines, no curves

state whether the number is a solution to the given inequality

7/12 > 9/16​

Answers

Answer:where the numbers ? like a.3,b.5 somethin like that

Step-by-step explanation:

but its True

7/12>9/167

0.583333>0.053892

true

What is the volume of a cube with a side length of 5?

Answers

Answer:

125

Step-by-step explanation:

L x W x H

All are equal sides so 5 are all the lengths of each side of the cube.

A man is 6 feet tall. At 1:00, he casts a shadow that is 18 inches long. A nearby tree is 32 feel tall. At the same time of day, how long is the tree's shadow?

Answers

The answer of this would be 8 feet long.

If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long

answer: 8 feet

4. What is the circumference of a circle whose area is 81π cm squared?

Answers

Area = pi*r^2
Circumference = 2pi*r

Step 1: find the radius from area
81pi=pi*r^2
81=r^2
9=r

Step 2: plug in radius to the circumference equation

Circumference = 2pi*r

18pi is the answer, otherwise know as 56.52 as well.

Step-by-step explanation:

Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr

Other Questions
the period known as the gilded age was marked byA) Economic Growth and lack of jobs.B) Economic problems and lack of jobs.C) Economic growth and changing technology.D) Economic problems and changing technology. Write the equation for the word problem Devon became a waiter at a fancy restaurant. He makes $9 per hour. One night he made $150 in tips. How many hours did he work if he made a total of $226.50. Need Help Pls Will Mark B if right What are the 6 stages of the human life cycle? please help im not very smart Which of the following are vital to an industrial growth? Find the Volume of the Pyramid. Show your work. Im trying to do IXL and I dont understand the way my teacher teaches (ironic right?)the points (-9,-3) and (-2,r) fall on a line with a slope of 1/7. What is the value of r?If its not right im gonna report you Which type of muscle's movements are involuntary? A. Smooth muscle and Cardiac muscle B. Smooth muscle and Skeletal muscle C. Cardiac muscle D. Skeletal muscle I really need help Five Stars 20 points If [tex] \alpha \beta [/tex]are the roots of 3x+2x-1=0 then 1/[tex] \alpha [/tex]+1/[tex] \beta [/tex] is Humans originated in Africa about 7 million years ago: if life on earth started 3.5bya ago and represented 24 hours from then to today, how many minutes of these 24 hours would be devoted to this 24-hour clocka) since the first humans showed up?b) since Humans showed up 300,000 ya? This is just a random question don't answer im testing something out You do not have to move your fingers to click the top row reach keys.1. True 2. False The diameter of a circle is 5 cm. Find its area to the nearest tenth What two measures of central tendency about the roller coasters cannot be determined using the box plot? The total bill for a group of friends having dinner was $130. They paid the entire bill using only $5 and $ 10$ bills. In total, there were 16 bills used. How many of each type of bill were used to pay the bill? 910SaveSubmitGiven that the function graphed is f(x), what is f(4)?A)-2B)4o-6Dep.com/modules/questions/qq.php?testid-1020&assignment_id=43384472&strand-5066&element-40471&totalQuestions-108ck-UTCXIN TYEETK8condition-random PLS HELP HELP HELP HELP! Motor proteins provide for molecular motion in cells by interacting with which of the following cellular structures?components of the cytoskeletonmembrane proteins of the inner nuclear envelopefree ribosomes and ribosomes attached to the ERcellulose fibers in the cell wall