Mathematics College

what is the linear equation of (0.5,10) and -4.5,-10​

Answers

Answer 1

Answer:

The linear equation containing the points (0.5, 10) and (-4.5, -10) will be:

[tex]y=4x+8[/tex]

Please check the attached graph also.

Step-by-step explanation:

Given the points

(0.5, 10)(-4.5, -10)

Finding the slope between (0.5, 10) and (-4.5, -10)

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

[tex]\left(x_1,\:y_1\right)=\left(0.5,\:10\right),\:\left(x_2,\:y_2\right)=\left(-4.5,\:-10\right)[/tex]

[tex]m=\frac{-10-10}{-4.5-0.5}[/tex]

Refine

[tex]m=4[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values m = 4 and the point (0.5, 10)  in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 10 = 4(x-0.5)[/tex]

Add 10 to both sides

[tex]y-10+10=4\left(x-0.5\right)+10[/tex]

Simplify

[tex]y=4x+8[/tex]

Therefore, the linear equation containing the points (0.5, 10) and (-4.5, -10) will be:

[tex]y=4x+8[/tex]

Please check the attached graph also.

What Is The Linear Equation Of (0.5,10) And -4.5,-10

Related Questions

The price paid for a $4.50 pen after a 60% discount is applied​

Answers

Answer:

1.80

Step-by-step explanation:

2w − 1 = 1 so w = what

Answers

W = 1 hope that helps :$

The Art Club at Northwest Middle School is selling candy bars as a fundraiser. The box plots below show the number of candy bars the members of the Art Club sold in the first two weeks of the fundraiser.

Select all of the following statements that are true about the Art Club’s candy bar sales.
The median number of sales in weeks one and two are equal.


The median number of sales in week one is greater than the median number of sales in week two.


The median number of sales in week two is greater than the median number of sales in week one.


The range of sales in weeks one and two are equal.


The range of sales for week one is greater than the range of sales for week two.


The range of sales for week two is greater than the range of sales for week one.

Answers

Answer:The median number of sales in weeks one and two are equal and The range of sales to in weeks one and two are equal

Step-by-step explanation:

Tell one the lines for the given points are parallel, perpendicular, or neither. Just your answer.
Line 1: (2, -3), (-4, -6)
Line 2: (-3, 2), (2, -8)

Answers

Answer:

Perpendicular

Step-by-step explanation:

Given

[tex]Line\ 1: (2, -3), (-4, -6)[/tex]

[tex]Line\ 2: (-3, 2), (2, -8)[/tex]

Required

Tell the relationship between both lines

We start by calculating the slopes (m) of both lines.

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

For Line 1:

[tex]m_1 = \frac{-6 - (-3)}{-4 - 2}[/tex]

[tex]m_1 = \frac{-6 +3}{-4 - 2}[/tex]

[tex]m_1 = \frac{-3}{-6}[/tex]

[tex]m_1 = \frac{1}{2}[/tex]

For Line 2:

[tex]m_2 = \frac{-8 - 2}{2 - (-3)}[/tex]

[tex]m_2 = \frac{-8 - 2}{2 +3}[/tex]

[tex]m_2 = \frac{-10}{5}[/tex]

[tex]m_2 = -2[/tex]

The lines are not parallel because [tex]m_1 \ne m_2[/tex]

However, they are perpendicular, because:

[tex]m_1 = -\frac{1}{m_2}[/tex]

To prove this, substitute values for m1 and m2

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

[tex]\frac{1}{2} = \frac{1}{2}[/tex] --- Proved

is 4 a solution of 3x+8=4 ? complete the statement

Answers

I think it would have to equal a fraction being -4/3

Please help me on this question please?

Answers

Answer:

Rosie is incorrect.

Step-by-step explanation:

3600/200

The zeros get cancelled

36/2

The answer is 18.

write an equation that describes the function

Answers

Answer:

Answer D

Step-by-step explanation:

For each one simple put one of the x values in the x in the given equation. You will find that 9/3 give you 3, 12/3 give you 4. In other questions follow that rule for each and if the answer is the Y value then you know you are right.

andy runs 441.6 meters in 16 seconds. if andy runs at a constant speed, how far does her run in one second? give your answer to the nearest tenth of a second.

Answers

441.6 divided by 16 = 27.6

I need help if you help I’ll give you extra points!!!!!!!

Answers

Answer:

a=66m b=4.58cm

Step-by-step explanation:

a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared

b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330

(A) Width= perimeter/2 - length
= 5610 squared/2 -85
= 15,735,965m


(B) Step by step explanation;

Length= p/2 - width
= 330/2 - 72
Length= 93cm

Need help don’t know what to do I’m confused

Answers

the last one is the answer h=2t-d distribute the 1/2 into the (d + h) you get t=1/2d + 1/2 h then multiply everything by the denominator of 2 this would give you 2t = d + h because the denominator of 2 on the d and h cancel out and leaves a 1 infront which is just d and h then i’d u switched the h and 2t across the equation they become the opposite sign -h = -2t + d since you don’t want -h switch all the signs leaving you with the answer h = 2t - d

Answer:

last option;  h = 2t - d

Step-by-step explanation:

t = 1/2(d + h)

t = [tex]\frac{d}{2}[/tex] + [tex]\frac{h}{2}[/tex]

now multiply each side by 2 to eliminate denominator

2t = 2 ([tex]\frac{d}{2}[/tex] + [tex]\frac{h}{2}[/tex])

2t = d + h

h = 2t - d

FACTOR and list your 4 steps: 5x^2y - 30xy^2

Answers

Answer:

5x • (x + 3y) • (x - 2y)

Step-by-step explanation:

y=−12x+. HELP PLEASE

Answers

Answer:

(-2,4), (0,3), (2,2)

Step-by-step explanation:

You can use the 3 points above to plot out the line on the graph and to find other points.

Solve the inequality. Graph the solution. b- 2 ≥ -1 ​

Answers

Answer:

Hopefully this can help

Step-by-step explanation:

Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors

Answers

Complete question :

In a class of 125 students, 27 are computer science majors, 51 are mechanical engineering majors, 12 are civil engineers and the rest are general engineering majors. Assume students only have one major.

Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors?

Answer:

0.039

Step-by-step explanation:

Total = T = 125

Computer Science = S = 27

Mechanical Engineering = M = 51

Civil Engineering = C = 12

General engineering, G = 125 - (27 + 51 + 12) = 35

Probability that none out of six chosen at random are Mechanical Engineering major :

Probability = required outcome / Total possible outcomes

Non mechanical engineering majors = 125 - 51 = 74

Probability none of 6 selected are mechanical engineering majors :

74C6 / 125C6

Recall :

nCr = n! / (n-r)! r!

, using calculator :

74C6 / 125C6 = 185250786 / 4690625500

= 0.0394938

= 0.039

You are planning the scale model of a town that you will build. For now, you are laying everything out on a coordinate plane as shown. You want to draw Wooster Street so that it is perpendicular to Main Street. You know that Wooster Street will pass through the point (-3, 8.75). Find the equation of the line for Wooster Street so that it is perpendicular to Main Street. Explain your reasoning

Answers

Answer:

3

Step-by-step explanation:

because if you look closely at the graph you see

20
Question
Mrs Holland wants to paint her garage wall.
The wall measures
6 ſm by 31m
Each can of paint covers 5m2
Each can costs £7.50
How much will it cost Mrs Holland to paint her garage wall?

Answers

Answer:

Try the answer as £37.50

Step-by-step explanation:

Answer: £37.50

Step-by-step explanation:

The speed of one car is 20% less than the speed of a second car. What per cent more time does the first car need to travel the same route as the second car?

Answers

Answer:

25% or more

Step-by-step explanation:

t1 = d1/v1 , t2 = d2/v2.

d1 = d2 , and v1 = 0.8 v2

t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )

t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25

A trough is an open container that is used to hold food or water for animals. The figure below shows a water trough.
1 4. How much ground is covered by the trough?
15. How much metal is needed to make the trough?
16. How much water can the trough hold?

Answers

Answer:

8 ft², 21.8ft², and 11.2ft²

Step-by-step explanation:

I need help with multiplying fractions ​

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Key skills needed --> Division of fractions, Multiplication of fractions

1) 2/4 over 5/8 is the same thing as division ---> [tex]\frac{2}{4}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{2}{4}[/tex] × [tex]\frac{8}{5}[/tex] = [tex]\frac{16}{20}[/tex] = [tex]\frac{4}{5}[/tex]

2) Dividing by a fraction is the same thing as multiplying by its reciprocal.

Basically if you are dividing by [tex]\frac{3}{4}[/tex], you are multiplying by [tex]\frac{4}{3}[/tex]. A reciprocal is when the fraction's numerator becomes the denominator, and the fraction's denominator becomes the numerator. [tex]\frac{1}{2}[/tex] --> reciprocal is [tex]\frac{2}{1}[/tex] (or 2)

Hope you understood and have a nice day!! :D

free brainliest! if you answer this easy question c:

Answers

Answer:

5400.00

Step-by-step explanation:

Answer:

5400.00

Step-by-step explanation:

a student claims that a neutral atom has 6 protons and 7 electrons what mistake is the student making​

Answers

Answer:

A proton needs two electrons to operate. Just like if an electron needed nutrons.

Step-by-step explanation:

Tell whether the given value is a solution of the inequality.

j+1>10; j = 9

A. Yes, j = 9 is a solution to the inequality.

B. No, j = 9 is not a solution to the inequality.

Answers

Answer:

Your answer is A

Step-by-step explanation:

Here you go mate

Step 1

j+1>10  Equation/Question

Step 2

j+1>10  Simplify

j+1>10

Step 3

j+1>10  add-1

j>9

answer

j>9

Hope this helps

Option B is correct, No, j = 9 is not a solution to the inequality j+1>10.

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

We can substitute j = 9 into the inequality j + 1 > 10 and see if it is true or false.

j plus one greater than ten.

j + 1 > 10

We have to check whether j=9 is the solution of the given inequality.

Substitute j equal to 9 in the above inequality.

9 + 1 > 10

10 > 10

The inequality is not true when j = 9. Therefore, j = 9 is not a solution to the inequality.

Hence, Option B is correct, No, j = 9 is not a solution to the inequality j+1>10.

To learn more on Inequalities click:

https://brainly.com/question/28823603

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list the first multiples of 6

Answers

Answer:

1,2,3, and 6.

Step-by-step explanation:

Answer:the first multiples of six are 1,2,3,6

Step-by-step explanation:

look it up hope this helps

which is the best deal
12oz. for $.99
64oz for $2.99
128 oz. $4.99​

Answers

Answer:

best deal is 64oz for $2.99

Answer:

I would say 64oz for $2.99

Step-by-step explanation:

The perimeter of a flag is 474 inches. The flag is 100 inches tall. How long is it?

Answers

The answer is 136 I hope this helped
Okay let’s go step by step.

If it is 100 inches tall, there are two sides that are the same length since flags are rectangles. 100 x 2 = 200. 474 - 200 = 274. 274 divided by two (we are dividing by two because there are two sides congruent on the flag) is 137.

I hope this helped <3

for the Indicated variable.
15) z=-, for a
m
A) a = zm
m
B) a=
C) a=-z- m
D) a= 2

Answers

Answer:

D.

Step-by-step explanation:

Select the correct answer from the drop-down menu.
8
3
For a certain base, blogi
and
slog, 0.5 = -1
The value of log, 46
Re

Answers

Answer:

the correct answer is 3

Step-by-step explanation:

just took it on edmentum

The value of the expression [tex]log_b(4b) = 3.[/tex]

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can use logarithmic rules to solve this problem.

First, we know that log_b(8) = 3.

Using the definition of logarithms, this means that b³ = 8.

Solving for b, we find that b = 2.

Next, we know that log_b(0.5) = -1.

Using the definition of logarithms, this means that b^(-1) = 0.5.

Solving for b, we find that b = 2.

Since both expressions have the same base, we can use the logarithmic rule that states log_b(xy) = log_b(x) + log_b(y) to simplify log_b(4b) as follows:

[tex]log_b(4b) = log_b(4) + log_b(b)[/tex]

We can use the logarithmic rule that states:

log_b(b) = 1 to simplify log_b(b):

[tex]log_b(4b) = log_b(4) + 1[/tex]

Now, we can use the logarithmic rule that states:

[tex]log_b(x) = log_c(x)/log_c(b)[/tex]

To convert log_b(4) to a base 2 logarithm:

[tex]log_b(4) = log_2(4)/log_2(b) = 2/1 = 2[/tex]

Substituting this into the expression we found earlier, we get:

[tex]log_b(4b) = log_b(4) + 1 = 2 + 1 = 3[/tex]

Therefore,

[tex]log_b(4b) = 3.[/tex]

Learn more about expressions here:

https://brainly.com/question/3118662

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3/4 divided by 1/2 brainleist if answer

Answers

Answer:

1 2/4 (1 1/2)

Step-by-step explanation:

keep, change, flip is how you solve these kinds of problems

the 3/4 stays the same

you turn the ÷ into x

and flip the 1/2 (2/1)

so it becomes

3/4x2/1= 1 2/4 (simplified is 1 1/2)

what is the slope? (IXL)

Answers

Answer:

The slope is 2/3.

Step-by-step explanation:

Rise over run.

Use the equation 2m + 4s = 16 to complete the table, then graph the line using s as the
dependent variable.

Answers

Answer:

S. 4

M. 2

S. 5

M. 8

And the graphing you just do those as m/s -->(M,S)

You can put the value of m or s in the given equation of m and s to obtained the missing value.

The completed table would look like:

[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]

Simplifying the relation between m and s:

[tex]2m + 4s = 16\\\\ \text{Dividing by 2 on both sides}\\\\ \dfrac{2m + 4s}{2} = \dfrac{16}{2}\\\\ m + 2s = 8[/tex]

How to evaluate the missing values?

Use one of the given value and the equation to find the missing value:

For m = 0:

[tex]m + 2s = 8\\ 0 + 2s = 8\\ 2s = 8\\\\ s = \dfrac{8}{2}\\\\ s = 4[/tex]

For s = 3:

[tex]m + 2s = 8\\ m + 2 \times 3 = 8\\ m = 8 - 6\\ m = 2[/tex]

For m = -2:

[tex]m + 2s = 8\\ -2 + 2s = 8\\ 2s = 10\\ \\ s = \dfrac{10}{2} \\\\ s= 5[/tex]

For s=  0:

[tex]m + 2s = 8\\ m + 2 \times 0 = 8\\ m = 8[/tex]

Thus, the completed table would be:

[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]

Learn more about linear equations here:

https://brainly.com/question/25826868

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