What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?

What Is The Equation Of The Line That Is Perpendicular To The Given Line And Has An X-intercept Of -3?

Answers

Answer 1

Answer:

[tex]y=-\frac{3}{2}x-\frac{9}{2}[/tex]

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

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

m' = [tex]\frac{1+1}{3-0}[/tex]

m' = [tex]\frac{2}{3}[/tex]

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × [tex]\frac{2}{3}[/tex] = -1

m = [tex]-\frac{3}{2}[/tex]

Equation of the perpendicular line will be,

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

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = [tex]-\frac{3}{2}(-3)+b[/tex]

b = [tex]-\frac{9}{2}=-4.5[/tex]

Equation of the line will be,

[tex]y=-\frac{3}{2}x-\frac{9}{2}[/tex]


Related Questions

Translate into an algebraic expression 40 increased by x%

Answers

Answer:

x+2/5x

Step-by-step explanation:

x%of 40 is 2/5x

...40 increased by x% of it self = x+2/5x

Write the formula to find the profit %, if selling price and cost price both are given.

Answers

Answer:

[tex]profit \: percent = \frac{sp - cp}{cp} \times 100 \: percent[/tex]

where,

SP=Selling price

CP=Cost price

For example:

Given,

Selling price(SP)= 1000

Cost price(CP)=800

Now,

[tex]profit \: percent = \frac{sp - cp}{cp} \times 100 \: percent \\ = \frac{1000 - 800}{800} \times 100 \\ = \frac{200}{800} \times 100 \\ = 25 \: percent[/tex]

Hope this helps...

Good luck on your assignment..

simplify (2) - (x2-x3+2x-1)

Answers

Answer:

-x + 3

Step-by-step explains:

Um... You can do it on a computer...

There are 1,000 cubic centimeters in 1 liter, 1,000 cubic millimeters in 1 milliliter, and 1,000 milliliters in 1 liter. How many cubic millimeters are there in 200 cubic centimeters?

Answers

Answer:

200,000 cubic milliliters

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Simplify the polynomial (3a^2+4a+25) - (2a^2+4a-5)

Answers

Answer:

The polynomial simplified would be a^2 + 30

I hope this helps you:))

P.S. Might I recommend a good online calculator for these types of problems. It's called Symbolab. I use it every day and it's a lifesaver. It shows the step-by-step and has a plethora of different actions like simplifying, inverse, and line.

Which of the following has a positive value? sec (2pi/3) tan (2pi/3) cos (2pi/3) csc (2pi/3)

Answers

Answer:  D) csc (2π/3)

Step-by-step explanation:

2π/3 is in Quadrant II

Quadrant II has a negative x-value and a positive y-value.

x-values are: cos & sec

y-values are: sin & csc

tan = y/x so will be negative in Quadrant II

A) sec = -

B) tan = -

C) cos = -

D) csc = +     this works!

A line passes through (2,-1) and (4,5). Which answer is the equation of the line?

Answers

Answer:

C.

Step-by-step explanation:

Slope = m = (y2 - y1)/(x2 - x1) = (5-(-1))/(4 - 2) = 6/2 = 3

Slope - point form:

y - y1 = m(x -x1)

y - 5 = 3(x - 4)

y - 5 = 3x - 12

- 3x + y = - 12 + 5

- 3x + y = - 7

Answer:

[tex] - 3x + y = - 7[/tex]

Option C is the correct option.

Step-by-step explanation:

A line passes through ( 2 , -1 ) and ( 4 , 5 )

The equation of line:

[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]

Plug the values

[tex] \frac{ y - ( - 1)}{x - 2} = \frac{5 - ( - 1)}{4 - 2} [/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression

[tex] \frac{y + 1}{x - 2} = \frac{5 + 1}{4 - 2} [/tex]

Add the numbers

[tex] \frac{y + 1}{x - 2} = \frac{6}{4 - 2} [/tex]

Subtract the numbers

[tex] \frac{y + 1}{x - 2} = \frac{6}{2} [/tex]

Reduce the numbers with 2

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

Apply cross product property

[tex]3x - 6 = y + 1[/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex]3x - y = 1 + 6[/tex]

Add the numbers

[tex]3x - y = 7[/tex]

[tex] - 3x + y = - 7[/tex]

Hope this helps...

Best regards!

translate into an algebraic expression: b is decreased by 40% and decreased again by 40% . What is the result ?

Answers

Answer:

The result is 0.36b

Step-by-step explanation:

Here. we want to translate the wordings into an expression of algebra.

Firstly, we decrease b by 40%

40% is same as 40/100 = 0.4

So decreasing b by 40% = b-0.4(b) = b-0.4b = 0.6b

Now we want to decrease 0.6b by another 40%

= 0.6b -0.4(0.6b)

= 0.6b - 0.24b

= 0.36b

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which is a true statement about the diagram?

m∠5 + m∠6 = m∠1
m∠3 + m∠4 + m∠5 = 180°
m∠1 + m∠2 = 180°
m∠2 + m∠3 = m∠5

Answers

Answer:

m∠1 + m∠2 = 180°

Step-by-step explanation:

An interior angle and its exterior angle are supplementary (they add up to 180°).

I would really appreciate it if you would mark me brainliest!

Have a blessed day!

Answer:

c

Step-by-step explanation:

Which of the following explains why cos 60º = sin 30° using the unit circle?

Answers

C


Is the answer hope this helped

What is X^2-9=0 I really need the answers

Answers

Answer:

X^2-9=0 is x2 = 9

Step-by-step explanation:

X^2= 9, therefore X=square root 9 = 3
So X=3

Al aplicar el teorema de Pitágoras en alguno de los triángulos que aparecen en la figura, solo un planteamiento es el correcto, ¿cuál es?

Seleccione una:
a. h2 + b2 = c2
b. c2 + b2 = a2
c. Ningún planteamiento es correcto
d. a2 + m2 = b2

Answers

Question:

Found a picture which relates to the question asked. It can be found in the attachment below.

Answer:

b. c2 + b2 = a2

Step-by-step explanation:

According to Pythagoras rule :

The longest side of the triangle is the hypotenus

The opposite and adjacent sides depends on the particular angle provided or one which is to be calculated.

The opposite side is one drawn across a given angle, while the side next to the Given angle is called the adjacent side.

FROM △ABC ;

THE longest side is 'a' = hypotenus

Opposite side = c

Adjacent = b

From Pythagoras :

(Hypotenus)^2 = (Opposite)^2 + (adjacent)^2

Hence,

a^2 = c^2 + b^2

Can someone please help I don’t know which one is it please help me

Answers

Answer:

m= - 3

b= 3

Step-by-step explanation:

what is the 21st term of a sequence with A1 = -5 and D = 6​

Answers

Answer:

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 5

d = 6

n = 21

We want to determine the value of the 21th term, thus, n = 21. Therefore,

T21 = - 5 + (21 - 1)6

T21 = - 5 + 120

T21 = 115

Answer:

115

Step-by-step explanation:

I had this on my test and I got 100%

plz help with this, Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8

Answers

Answer:

ANSWER:

3x  + 3y = 0

7x - y = 8

Step-by-step explanation:

Answer:

I would say multiply everything by 2 and you’ll have an equivalent system of equations or multiply by 3  or any number, because im not sure if this is a multiple answer question, so sry

A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of One-fifth to be placed near a door. What is the area of the reduced rug, in square feet? 5 25 50 100

Answers

Answer:

5 Feet-

Step-by-step explanation:

I did the test-

Rick asked a random sample of 160 students from his school what they did for lunch. The table shows the results of Rick’s survey. Work out the relative frequency of eating school lunch. Input note: give your answer as a fraction.

Answers

Answer:

43/160

Step-by-step explanation:

To find the relative frequency,

We just have to know things:

1. The data for asked event

2. Total number of data.

With these 2 points, we can create a fraction that is formed like this:

Data of event / Total data

In this case it is:

43/160

Hope this helps

Solve the following systems of linear equations graphically: 3x + 2y = 6 and
X = 2y + 4. You may use one of the following strategies: a) table of values,
b) x and y intercepts, or c) y = mx + b. In your response, be sure to specify
which strategy you are using. You do not need to submit a graph.
Vanswer

Answers

Answer:

The solution set is where the 2 lines intersect.

Step-by-step explanation:

Answer:

2.5 and -0.75

Step-by-step explanation:

i think i could be wrong x

Which of the following best describes how muckrakers brought about reform in the Progressive Era?
Muckrakers presented Americans with facts about corruption in government and industry and encouraged them to investigate further.
Muckrakers presented Americans with facts about corruption in industry and government that prompted them to demand change.
Muckrakers presented government officials with different ways to reform existing legislation.
Muckrakers presented government officials with facts about different industries and demanded change.

Answers

Answer:

B

Step-by-step explanation:

Both A and B are similar but the difference is that muckrakers did not present facts to encourage more investigation, they presented facts to make a change. There are many examples but one major one is Upton Sinclair and his book "The Jungle". It exposed the meat industry and how corrupted it was. This led to many changes such as new food safety laws.

Answer:

B edg

Step-by-step explanation:

Question 3(Multiple Choice Worth 3 points)
(6.03)
What is the coefficient of the variable in the expression 2 - 5x - 4 + 8?

1. -5
2. O-4
3. 02
4. 08​

Answers

Answer:

-5

Step-by-step explanation:

The coefficient is the number that goes in front of the variable

The only variable is x and the number in front is -5

The coefficient is -5

Answer:

-5 i did the test

Step-by-step explanation:

help!!!! What is the area of the triangle?

Answers

Answer:

Option 4 ) Area = 24 cm²

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} Base * Height[/tex]

Where Base = 8 cm, Height = 6 cm

Area = [tex]\frac{1}{2} (8*6)[/tex]

Area = 48 / 2

Area = 24 cm²

Answer:

Sorry if i was incorrect that time but this time i'll tell u the correct answer

Let the length of 3rd side of triangle be x

X>(8-6) and x < (8+6) cms

Or 2cms <x<

14 cms Answer

Which inequality matches the graph? (2 points)

A) −2x + 3y > 7

B) 2x − 3y < 7

C) −3x + 2y > 7

D) 3x − 2y < 7

Answers

Answer:

  D)  3x − 2y < 7

Step-by-step explanation:

We note that the x- and y-intercepts are about 2.3 and -3.5, respectively.

In "intercept form," the equation of the line can be written ...

  x/x-intercept +y/y-intercept = 1

Using the given intercepts, this is ...

  x/2.3 +y/(-3.5) = 1

The answer choices suggest that we should multiply this by 7. When we do, we get ...

  3x -2y = 7 . . . . the equation of the boundary line

__

The next trick is to figure the comparison symbol. We note that x-values are less than those on the line, and y-values are greater than those on the line. It is convenient to consider the term with a positive coefficient, so we don't get confused with minus signs and reversed comparisons.

As we said, x-values are less than those on the line, so the shaded area is ...

  3x -2y < 7 . . . . matches choice D

Answer:

D)  3x − 2y < 7

Step-by-step explanation:

Took the test and got it right :)

Find the solution to the problem and show your steps. -7x+9=3x+49

Answers

Answer:

x=-4 is the answer

Step-by-step explanation:

-7x+9=3x+49

Subtracting 3x on both sides

-7x-3x+9=49

Subtracting 9 on both sides

-10x=49-9

-10x=40

x=-4

I hope this will help you :)

PLZ HELP I NEED BIG BRAINERZ HERE Evaluate the expression below and write the answer in standard exponent form. What is the power of the answer? 6.07288 × 10^14÷7÷37 × 10^4

Answers

Answer:

The solution would be 75911*10^10/462500 or 1.64132 x 10^9

Step-by-step explanation:

Hurry I WILL MARK YOU AS BRAINLIEST

Answers

Answer:

Third choice is correct

Step-by-step explanation:

-2x-y=-2

-y=2x-2

y=-2x+2

3x-y=-2

-y=-3x-2

y=3x+2

These two lines intersect at (0, 2)

If ! is an operation such that
a!b= 2b + 2a/3b, what does
9!3 equal?​

Answers

Answer:

8

Step-by-step explanation:

Following the operation given with a = 9 and b = 3, then

9!3

= (2 × 3) + [tex]\frac{2(9)}{3(3)}[/tex]

= 6 + [tex]\frac{18}{9}[/tex]

= 6 + 2

= 8

A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k. solution

Answers

Answer:

the value of k is 7

Can any one please help me I really need help please help me thank you

Answers

Step-by-step explanation:

Plug in -2 whenever u see x

3(-2) -7= 5(-2-1)

-6-7= -10-1

-13 = -11

Therefore, x is not equal to -2.

I got 7. check my answer please :)

Answers

Answer:

7

Step-by-step explanation:

We look at where the two circles for Russian and Chinese overlap

The numbers in that area are 2 and 5

2+5 = 7

Answer:

Your answer is correct.

Step-by-step explanation:

5 speak Chinese and Russian, but 2 speak all languages

So add 5+2 to get 7.

So your answer is correct.

set these 2 distances to equal each other

Answers

what are the distances
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