what is the equation of a line that contains points (5,3) and (0, -1)

Answers

Answer 1

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line


Related Questions

༒Question༒


refer to attachment


nonsense will get report​

Answers

Answer:

REFER TO ATTACHEMENT

I HOPE IT IS HELPFUL

9.A construction company is building a roof on a house. The horizontal distance from the edge of the
roof to the peak is 25 ft. The vertical distance from the edge of the roof to the peak is 6.25 ft. Determine
the slope of the roof. Leave your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

slope=(vertical distance)/(horizontal distance)=(6.25)/25=0.25

Can someone help with 1 11/15 divided by 1 4/9?

Answers

Answer: The answer is 1 1/5

Step-by-step explanation: Hope that helps :)

What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.



37.7 feet
28.3 feet
113.0 feet
84.8 feet

Answers

Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.

Step-by-step explanation:

Tell whether the ordered pair is a solution to the equation please show how you solve it.


(3,2); x+6y = 13

Answers

Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13



find the values of x and y ????

show step plz​

Answers

Answer:

x= 90 degrees

y= 47 degrees

Step-by-step explanation:

Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.

So with this information, you know that the angle at the bottom left is also 47 degrees.

x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).

A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.

90+47+y=180

y= 43

[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]

First we can say [tex]x=90[/tex]°, since x is located at the right angle part.

Now we can make an equation

[tex]90+47+y=180[/tex]

subtract 137 from sides.

[tex]y=43[/tex]

_________________________________

[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]

[tex]x=90[/tex]° [tex]y=43[/tex]°

_________________________________


ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.

Answers

Step-by-step explanation:

We don't know if AB is a hypotenuse or leg.

If AB is hypotenuse:

[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]

If AB is leg:

[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]

For base/Perpendicular

AB²=8²-7²AB²=64-49AB²=15AB=√15

For Hypotenuse

AB²=8²+7²=64+49AB²=113AB=√113

The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.

Answers

even bc it doesn’t go through the origin

Answer:

even  

Step-by-step explanation:

decide whether the function is a polynomial function if it is write the function in standard form

f(x)=1/2x²-3x^4-7 ​

Answers

Answer:

yes, it is a polynomial function because all of the exponents are non-negative; standard form is f(x) = -3x⁴ + 1/2x² - 7

Step-by-step explanation:

standard form is placing all terms in decreasing exponent order

Answer:

it is a polynomial because all of the exponents are non-negative

standard form f(x)=-3x^4+1/2^2-7

Step-by-step explanation:

Hope it helps

Have a nice day : )

75% of the sum
of t&a and 7 3 6
-100
a
b

Answers

answer in the photo thank me later mate

Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?

Simplify your answer and write it as a fraction.

Answers

Answer:

5:36

Step-by-step explanation:

12 inches = 1 foot, so 6 feet = 72 inches

10:72, reduces to 5:36

nin
1) What is the equation of the line that passes through the point (-2,1) and has a slope of
-5/2?

Answers

Answer:

y=(-5/2)x-4

Step-by-step explanation:

Step 1: Define the equation of a line.

Equation of a line is written in the form y=ax+b where a is the slope and b is the y-intercept.

Step 2: Write the given parameters

(x1,y1)=(-2,1)

m=-5/2

Using the formula y-y1=m(x-x1)

y-1=-5/2(x-(-2))

y-1=-5/2(x+2)

y-1=(-5x-10)/2

By cross multiplication,

2(y-1)=-5x-10

2y-2=-5x-10

2y=-5x-10+2

2y=-5x-8

y=(-5x-8)/2

y=(-5/2)x-4

pls pls pls help!! will mark brainliest

Answers

The last one y>-4


I hope this right

quiz 3-1 parallel lines transversals and special angle pairs

Answers

The following statements are true:

Segment DEF is parallel to ABCThe line segment  AB is parallel to DELine FC is parallel to ADthe line that is skewed to DE is BC

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABCCADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BEAB is parallel to DEFC is parallel to AD

For skew lines, they are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

Learn more about parallel and skew lines here: https://brainly.com/question/18013592

BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)

Evaluate 12x-3(3x-5)+24 when x = 2

Answers

Answer:

Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve

1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24

2) Multiply 12 by = 24-3+1+24

3) subtract 3 from 24 = 21+24

4) Add the final two terms = 45

MARK BRAINLIEST

(12)(2)-3((3)(2)-5)+24
=24-3((3)(2)-5)+24
=24-3(6-5)+24
=24-(3)(1)+24
=24-3+24
=21+24
=45
Sorry the parentheses got to be a lot LMMMMAAAAOOO anyways please mark as brainliest

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Answers

Answer:

Step-by-step explanation:

What

the rate of cost of petrol is decreased from rs 110 per litre to rs 104.50 per litre. by how many percent is cost decreased?​

Answers

the cost is decreased by 5%.... ..

...

Divide £520 in the ratio 6:7

Answers

Start off by adding the ratio together.
6 + 7 = 13

Now we can divide 520 by 13 = £40

Answer = £40.

The ratio of the number 520 in 6: 7 will be 240: 280.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the number 520 is divided into the ratio 6: 7.

The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.

6x + 7x = 540

13x = 540

x = 540 / 13

x = 40

6x = 40 x 6 = 240

7x = 7 x 40 = 280

Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.

To know more about ratios and proportions follow

https://brainly.com/question/12024093

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The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.​

Answers

Answer:

230.0 x 1000-200

Step-by-step explanation:

Since one grain of pepper is 2.3x10-2 100 would be 100 times that.

a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items

Answers

Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

[tex]p_1 = 2000x - 10500[/tex]

The profit (p2) on the second item is given as:

[tex]p_2 = 1850x - 11600[/tex]

So, the total profit (p) on the sales of both items is:

[tex]p = p_1 + p_2[/tex]

Substitute known values

[tex]p = 2000x - 10500 + 1850x - 11600[/tex]

Collect like terms

[tex]p = 2000x + 1850x- 10500 - 11600[/tex]

[tex]p = 3850x-22100[/tex]

Hence, the expression that represents the total profit is 3850x - 22100

Read more about profits at:

https://brainly.com/question/23103804

if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure

Answers

Answer:  135  inches

========================================================

Work Shown:

1 yard = 3 feet

3 yards = 9 feet (multiply both sides by 3)

3 yards + 2 feet = 9 feet + 2 feet = 11 feet

1 foot = 12 inches

11 feet = 132 inches (multiply both sides by 11)

11 feet + 3 inches = 132 inches + 3 inches = 135 inches

is this correct ? if not what’s the correct answer?

Answers

It would be B. X is on a right angle which is 90 degrees and you must take into thinking that all three angles must be 180. Since it is a mirrored shape, corner E is the same as corner C which is 46.

This adds up to 136 and you must subtract 136 from 180 and is 44.

Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.

Answers

Answer:

First number is -2.5

Second number 5

Step-by-step explanation:

Four times the first number minus three times the second number is 2.

To represent this statement, 4x -3y =2

Two times the first number increased by three times the second is 10.

To represent thsi statement, 2x+ 3y = 10

4x - 3y = 2

2x + 3y =10

4x - 2x = 2x

2x = -5

x= -2.5

The first number is -2.5

By using Substitution

2x + 3y = 10

2(-2.5) + 3y = 10

-5 + 3y = 10

3y = 10 +5

3y =15

y = 5

The second number is 5

....To check my answer

-5 + 15 = 10

CAN YOU HELP ME #6 please

Answers

Answer:

Step-by-step explanation:

f(x) = (3x+3)/(x-2)

Use a graphing program such as DESMOS.  See attachment.

The asymptotes are:

The asymptotes are:

y = ± infinity as x  reaches 2

x = ± infinity as y  reaches 3

1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?

Answers

Answer:

The expected value is -$126- you should not buy the warranty.

Step-by-step explanation:

You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.

E(x)= (2800-350)(.8)+(-350)(.92)= -126

Joe paid $345 for a vase. He sold it at a profit of 180% of cost price. Find the selling price of the vase?

Answers

Answer:

966

Step-by-step explanation:

180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)

2,38 x 5,6 + 9,52 hljkjkk

Answers

Answer:

22.848

Step-by-step explanation:

just type it into a calculator dawg

2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
What is the final payment if the loan is paid off with the next payment?

Answers

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

PLEASE MARK ME AS BRAINLIEST

-8.5x +0.43 = -2.97
The solution is x =

Answers

Answer:

x=0.4

Step-by-step explanation:

ubtract

0.43

from both sides of the equation.

8.5

x

=

2.97

0.43

Subtract

0.43

from

2.97

.

8.5

x

=

3.4

Divide each term in

8.5

x

=

3.4

by

8.5

.

8.5

x

8.5

=

3.4

8.5

Divide

3.4

by

8.5

.

x

=

0.4

HELP!!!

n – 3 = ‐1

Please do not just type in the answer please explain how you got your answer! Whoever explains (CORRECTLY) first gets brainliest!

Answers

ANSWER:n=2

EXPLANATION: n-3=-1
n= -1+3
n=2

Answer:

n = 2

Step 1: Add 3 to both sides to isolate x.

n – 3 = ‐1

Step 2: Solve

=> n = -1 + 3

Final Answer: Answer to the question.

=> n = 2

Therefore, n = 2 is our answer.

Hoped this helped.

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