What is the equation of the line that is perpendicular to the line y=3/4x - 6 and passes through the point (-3,5)?

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals of each other (ex. -1/3 and 3, 1/2 and -2, etc.)

1) Determine the slope (m)

[tex]y=\frac{3}{4} x - 6[/tex]

Looking at the given equation, we can identify clearly that [tex]\frac{3}{4}[/tex] is in the place of m, making it the slope of the line. Because perpendicular lines always have slopes that are negative reciprocals, we know that the slope of the line we're solving for will be [tex]-\frac{4}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{4}{3}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{4}{3}x+b[/tex]

Plug in the given point (-3,5)

[tex]5=-\frac{4}{3}(-3)+b\\5=4+b[/tex]

Subtract 4 from both sides

[tex]5-4=4+b-4\\1=b[/tex]

Therefore, the y-intercept is 1. Plug this back into [tex]y=-\frac{4}{3}x+b[/tex]:

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

I hope this helps!


Related Questions

What is 4x/7 - 2/3

Fraction help

Answers

Answer:

2/21 * (6x-7)

Step-by-step explanation:

1/21 * (3*4x - 14)

1/21* (12x-14)

1/21* 2(6x-7)

2*1/21 * (6x-7)

2/21* (6x-7)

can yall or someone help

Answers

Answer:

x would equal 40

Step-by-step explanation:

x+(2x-5)+(x+25)=180

4x+20=180

x=40

PLEASE HELP 20 points

Answers

Answer:

2.greatest common factor is 4

3.[tex]x^{2}[/tex]-3x-10

[tex]x^{2}[/tex]-(5-2)x-10

[tex]x^{2}[/tex]-5x+2x-10

x(x-5)+2(x-5)

(x+2)(x-5)

Step-by-step explanation:

Answer:

2. 4

3. (x+2)(x−5)

Step-by-step explanation:

Question One.

Factor 8x+12

8x+12

4(2x+3)

Question Two.

Factor [tex]x^{2}[/tex]−3x−10

The middle number is -3 and the last number is -10.

Factoring means we want something like:

(x+_)(x+_)

We need to figure out which numbers go in the blanks.

You will need two numbers. They need to...

Add together to get -3.

Multiply together to get -10.

2+-5=-3

2·-5=-10

Fill in the blanks.

(x+2)(x-5)

Answer:

(x+2)(x−5)

What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
A. 4
B. 2
C. -4
D. -2

Answers

Answer:

Option B

Step-by-step explanation:

Average rate of change of a function between x = a and x = b will be,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.

From the given graph,

f(2) = 6

f(0) = 10

Therefore, average rate of change = [tex]\frac{f(2)-f(0)}{2-0}[/tex]

                                                          = [tex]\frac{10-6}{2-0}[/tex]

                                                          = 2

Option B will be the answer.

please answer accurately with a full explanation and please don't do short answers thank u, and if u spam this question u will be reported. please answer with a proper answer, not a short one thank u so much

Answers

Answer: 31500 cm^3

Step-by-step explanation:

Volume = Length x Width x Height

60 x 35 x 15= 31500

when we multiply three times it is known as cube /^3

answer is 31500 centimeters cube

9x+y=9=3x-2y=-11 i need the answer

Answers

Answer:

x= 1/28+y + 11/84

Step-by-step explanation:

Solve for x. Answer as a whole number.

Answers

Given:

In triangle ABC, AE is the angle bisector.

[tex]AB=4, BE=2, AC=x, CE=3[/tex]

To find:

The value of x.

Solution:

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.

Using the angle bisector theorem, we get

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]

[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]4\times 3=2\times x[/tex]

[tex]12=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{12}{2}=x[/tex]

[tex]6=x[/tex]

Therefore, the value of x is 6.

can someone do my math homework pls its on (quadratics)

Answers

I want to try but I am tooooo much bad in math

Can you help me on unmber 2 or 3 Plzz show work

Answers

Step-by-step explanation:

In,

Question 2 I have already answered,

Q. 3)

Given Question:

[tex] \frac{ {c}^{2} }{d} [/tex]

Given values:-

c = 6 , d = 3

By putting the values in the question,

[tex] \frac{ {6}^{2} }{3} [/tex]

[tex] = \frac{36}{3} [/tex]

= 12 (Ans)

Kelly subtracts 60° from 90° to find the measure of a missing
angle in an angle pair. What type of angle pair is she working
with?

Answers

Answer:

acute

Step-by-step explanation:

Answer:

Complementary angle pair is here working

Hope you satisfyed

Solve |3x - 4| = 6
please help me solve

Answers

Step-by-step explanation:

|3x - 4| = 6

3x-4 = 6 or 3x-4 = -6

3x=6+4 3x=-6+4

3x=10 3x = -2

x= 10/3 x = -2/3

so, x1= 10/3 or x2 = -2/3

In the diagram shown, m_3 = 3x - 16 and m_4 = x + 84. Find the value of x. o 25 50 34 28​

Answers

Answer:

50

Step-by-step explanation:

m3 and m4 are going to be equaivalent due to some law I don't remember the name of.

So, 3x-16 = x+84

(do some rearranging)

2x=100

x=50

Convert the following equation into slope intercept form y-6=2(x+4)

Answers

Answer:

y = 2x +14

Step-by-step explanation:

We need to convert the given equation into slope intercept form ,

=> y - 6 = 2(x+4)

=> y -6= 2x + 8

=> y = 2x +8+6

=> y = 2x + 14

Hence the required answer is y = 2x + 14

A rate or ratio with a denominator of one is called

Answers

Answer:

Unit rate

Step-by-step explanation:

answer it would be called an unit rate :)
i hope this helps u

The ages in years of a study group are 12,13,13,13,14 and 15. Another 12- year old joins their group

Answers

what's the question?

there are 4 trucks for every 5 cars in a parking lot. how many trucks and cars could be in the parking lot? A. 64 trucks and 80 cars B. 72 trucks and 73 cars C. 84 trucks and 100 cars D. 96 trucks and 110 cars

Answers

Answer:

A.

Step-by-step explanation:

64/4=16  80/5=16 They are multiplied by the same number so it is A

what is the mean median mode range of 1 1 2 1 1 3 3 4​

Answers

Answer:

16 is mean

median is 2

mode is 1

range is 3

Step-by-step explanation:

mean is total added

median is the middle- 1+1

mode- occurs most

and range is the biggest minus smallest #'s

Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points) A= 90 B=120 C=150
First to answer correctly gets brainliest, and show your work!

Answers

Answer:

b*h/2   120*90/2 10800/2=5400

Step-by-step explanation:

The area of the red triangle with sides A= 90 B=120 and C=150 would be equal to 5400.

What is the area of the triangle?

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

It is given that the length of the sides are as A= 90 B=120 C=150.

So, The area of the triangle = 1/2 x b x h

= b x h/2  

= 120 x 90/2

= 10800/2

= 5400

Learn more about triangles;

https://brainly.com/question/7116550

What is the measure of Zy?
139 yº

Answers

Answer:

y = 41°

Step-by-step explanation:

∡ y and 139° are adjacent angles and sum to 180° , that is

∠ 1 + 139° = 180° ( subtract 139° from both sides )

∠ 1 = 41°

11,22,22,13,24,22 find the hunderds too

Answers

Answer:

excuse me, but how do we answer this? This question is unanswerable without it being a question!

Step-by-step explanation:

Solve the equation for y. Then find the value of y for each value of x.
y + 5x = 8; x = - 2, 0,3
Solve the equation for y.

Answers

Answer:

y = 8 - 5x, y(-2) = 18, y(0) = 8, y(3) = -7

Step-by-step explanation:

y + 5x = 8

y = 8 - 5x

y(-2) = 8 - 5*(-2) = 8 + 10 = 18

y(0) = 8 - 5*(0) = 8 - 0 = 8

y(3) = 8 - 5*(3) = 8 - 15 = -7

*7. Admission to a museum is $8.20 per adult and $4.10 per child. The expression
8.2a + 4.1c represents the total cost in dollars for admission for a adults and a
children
A group of friends, consisting of 6 adults and 6 children attend the museum. One of
the adults has a coupon for one free adult admission and one child's admission at half
price. What is the total cost for the whole group to enter the museum?

Answers

Answer:

$63.55

Step-by-step explanation:

if one of the adults has a free coupon for adult admission, then we have 5 adults

8.20 x 5 = $41

We have 6 children and one with half pay

= (5 x 4.1) + (4.1/2 )

= 20.5 + 2.05

=$22.55

41 + 22.55 = $63.55

What is the initial value of the function represented by this table?
A. 0
B. 2
C. 3
D. 5​

Answers

Answer:

C... 3

Step-by-step explanation:

Which value is the best estimate for 6√10

Answers

Answer:

18.97366596

Step-by-step explanation:

round however manu you need too

Shelly bought 53.6 gallons of orange juice and used 18.3 gallons of it to make popsicles how much orange juice dose shelly have left

Answers

35.3 gallons of orange juice left
Explanation:
53.6 - 18.3 = 35.3
Its subtraction since its asking for how much left.

MARK ME BRAINLIEST PLEASEE TY


During a sale, a store offered 60% discount on a particular camera that was originally priced $450. After the sale, the discounted price of the camera was increased by 60%. What was the price of the camera after this increase?

Answers

Answer:

$288.00

Step-by-step explanation:

Im just going off what my calculator told me, but im 95% sure its correc

450- 60%= 180

180+60%=288

Which has a slope of 4 and a y-intercept of -2

Answers

Answer:

C

Step-by-step explanation:

Have a good day :)

Find the circumference of the circle to the nearest hundredth
11cm

Answers

Question: Find the circumference of the circle to the nearest hundredth

d = 11cm

Answer:

34.54 cm

Step-by-step explanation:

Applying,

P = πd...................... Equation 1

Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie

From the question

Given: d = 11 cm

Constant: π = 3.14

Substitute these values into equation 1

P = (3.14×11)

P = 34.54 cm

Work out the surface area of this solid prism

Answers

Answer:

3220 cm²

Step-by-step explanation:

Lets find the area of the two triangles

I am making a modification:

Both of the triangles are the same, so I wont divide by 2 using the area of triangle formula 1/2(b * h) because we end up multiply by 2

Area of triangles = 15 cm x 28 cm = 420 cm²

Area of front facing parallelogram = 24 cm x 4(10)cm = 100(10)cm = 1000 cm²

Area of back facing parallelogram = 17 cm x 40 cm = 680 cm²

Area of bottom parallelogram = 40 cm x 28 cm = 1120 cm²

Total Surface area = 420 cm² + 1000 cm² + 680 cm² + 1120 cm² = 1100 cm² + 2120 cm² = 3220 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

a. Find the mean, median, and mode of 12, 9, 17, 15, 10.
mean:
median:
6

Answers

Answer:

Mean: 12.6

Median: 12

Mode: None

Step-by-step explanation:

To find the mode, add everything up.

12 + 9 + 17 +15 + 10 = 63. Then, divide by five.

63 ÷ 5 = 12.6

To find the median, put the numbers from least to greatest. Then, highlight the one in the middle.

9, 10, 12, 15, 17

To find the mode, look for the number that appears the most. Because each number appears once. So, put "none" in the box.

Have a wonderful day!

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