5. Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2x + 6
O y = 3/2x + 5/2
O y = 3/2x + 4/3
O y = -2/3x + 5/2
O y = -2/3x + 4/3

Answers

Answer 1

Answer:

D.  y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

4/3 = b

So the equation is y = -2/3 x + 4/3.


Related Questions

PLEASE HELP QUICKLY I WILL MARK YOU BRAINLIEST.
Mr. Rector and Ms. Mitchell are grading papers. Mr. Rector can grade 24 papers in 10 minutes. Ms. Mitchell can grade 30 papers in 8 minutes. How many more papers per minute can Ms. Mitchell grade?

Answers

Answer:

1.35

Step-by-step explanation:

We need to identify our independent variables and dependent variables.

The number of papers graded depend on the amount of time.

The amount of time is the independent variableThe papers graded depends us the dependent variable

Divide the independent variable by the dependent variable to find papers per minute

For Ms.Mitchell the papers per minute is [tex] \frac{30}{8} = 3.75[/tex]For Mr.Rector, the papers per minute is [tex] \frac{24}{10} = 2.4[/tex]Subtract 2.4 from 3.75.

[tex]3.75 - 2.4 = 1.35[/tex]

The answer is 1.35

Oscar buy his lunch in the school cafeteria the cost of 15 schools lunches is $33.75

Answers

Answer:

$2.25

Step-by-step explanation:

If the answer is how much is one school lunch then...

33.75/15

=2.25

$2.25

It is $2.25 for each meal he gets from school.

HELP PLEASE I WILL GIVE BRAINLIEST!!!!

Answers

Answer:

Would you mind posting a picture instead thank you.

I don’t see the picture

What number is 0.68 more than 0.44?

Answers

Answer:

1.12

Step-by-step explanation:

0.68 + 0.44 = 1.12

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=39°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.

Answers

Answer:

114.4 feet

Step-by-step explanation:

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=39°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.

We solve using Sine rule

= OP/sin P = PN/ sin N

= OP/ sin 90 = 72/sin 39

Cross Multiply

OP × sin 39 = sin 90 × 72

OP = sin 90 × 72/sin 39

OP = 114.41 feet

Approximately = 114.4 feet

Answer:

110

Step-by-step explanation:

pls help with this!! no wrong answers pls

Answers

Answer:

x = 40

Step-by-step explanation:

180 = 100 + x +x

180-100= 2x

80 = 2x

x = 40

Which of the following ratios is equivalent to the ratio 3:4?

Answers

What’re the choices you have
Well if you have to make one up, something like 6:8 would be equivalent because you multiply both by 2. but if not, why are the answer choices?

$16.000 is deposited into a savings account with an annual interest rate of 2% compounded continuously. How much will be in the
account after 4 years?
Round to the nearest cent.
$17.280.00
$17.332.59
$35,608.65
$65.292.88

Answers

Answer:

A) $17,332.59

Step-by-step explanation:

$16,000(e^(0.02[or 2%] * 4)) = $16,000(e^0.08)

e^0.08 = 1.08328706767 * $16,000 ≈ $17,332.59

the amount in the account after 4 years would be approximately $18,252.85.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, For calculate the amount of money in the account after 4 years with a continuous compounding interest rate of 2%, we can use the formula:

⇒ [tex]A = Pe^{rt}[/tex]

Where A is the final amount in the account, P is the initial deposit, e is Euler's number (approximately 2.71828), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we have:

P = $16,000

r = 0.02

t = 4 years

Therefore, we can calculate the final amount in the account as:

⇒ A = [tex]$16,000 e^{0.02 * 4}[/tex]

⇒ A = [tex]$16,000 e^{0.08}[/tex]

⇒ A = $18,252.85

So, the amount in the account after 4 years would be approximately $18,252.85.

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Fred is making a wooden box in the shape of a right rectangular prism. The dimensions of the box are 12 inches by 4 1/4 inches by 4 1/4 inches. What is the volume of the wooden box?

Answers

Answer:

867/4 in3

Step-by-step explanation:

v= l*w*h= 12* 17/4* 17/4

= 51*17/4 = 867/4 in3

if my answer helps please mark as brainliest.

Answer:

[tex]V=216\frac{3}{4} in^{3}[/tex]

Step-by-step explanation:

The formula for volume of a rectangular prism is V = w × h × l, where

V represents the volume

w represents width

h represents height

l represents length

So, all we have to do to find volume is multiply these three values together, like this:

V = 12 × [tex]4\frac{1}{4}[/tex] × [tex]4\frac{1}{4}[/tex]

[tex]V=(12)(\frac{17}{4} )(\frac{17}{4} )[/tex]

Then we multiply all the numerators:

[tex]V =\frac{867}{4}[/tex]

[tex]V=216\frac{3}{4} in^{3}[/tex]

A triangle has sides with lengths of 7 millimeters, 14 millimeters, and 15 millimeters. Is it a right triangle

Answers

Answer:

Step-by-step explanation:

Property of a right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

If the length of sides of the given triangle are 7mm, 14mm and 15mm.

(15)² = (7)² + (14)²

225 = 49 + 196

225 = 245

False

Therefore, the given triangle is not a right triangle.

Is this function odd, even, or neither

Answers

It’s an odd function

Randy drew a rectangle inside another with the size shown below on a piece of paper. He places the paper outside during a light rain. What is the approximate probability that a raindrop that lands on the paper will fall outside the shaded region?

Answers

Answer:

[tex]Probability = 84\%[/tex]

Step-by-step explanation:

First, calculate both areas

[tex]Area = Length * Width[/tex]

The area of the outer rectangle is:

[tex]Big\ Area = 20 * 25[/tex]

[tex]Big\ Area = 500cm^2[/tex]

The area of the small rectangle is:

[tex]Small\ Area = 10 * 8[/tex]

[tex]Small\ Area = 80cm^2[/tex]

The area outside the small rectangle is:

[tex]Outside = Big - Small[/tex]

[tex]Outside = 500cm^2 - 80cm^2[/tex]

[tex]Outside = 420cm^2[/tex]

So, the probability that it falls outside the paper inside is:

[tex]Probability = \frac{Outside}{Big\ Area}[/tex]

[tex]Probability = \frac{420cm^2}{500cm^2}[/tex]

[tex]Probability = \frac{420}{500}[/tex]

[tex]Probability = 0.84[/tex]

Express as percentage:

[tex]Probability = 0.84*100\%[/tex]

[tex]Probability = 84\%[/tex]

See attachment for rectangle

Find the value of x????

Answers

Step-by-step explanation:

m∠1 + m∠2 = 180°

(4x - 20) + (x - 15) = 180°

4x + x - 20 - 15 = 180°

5x - 35 = 180°

5x = 180° + 35°

5x = 215°

x = 215/5

x = 43°

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help meeeeeee. /.............................

Answers

Answer:

1 + y < -13

Step-by-step explanation:

1 + y < -13

1 and a number, y, is less than -13

Find the value of z and x?

Answers

Answer:

For z I don't know what to do but thats for x, maybe someone else could find z for you :)

Step-by-step explanation:

5x - 89 = 61

      +89    +89

----------------------

5x = 50

----    -----

5         5

x = 10

HELP ILL MARK AS BRAINLIEST what’s the surface area?

Answers

Step-by-step explanation:

SURFACE AREA of a cylinder is 2×pi×r×(h+r)

=> 2×3.14×7×(8+7)

=>43.96×(15)

=>659.4 mm^2

Blueberries are $5.99 a pound Diego buys pounds of blueberries and pays 16.95 write an equation to represent the problem

Answers

Answer:

Step-by-step explanation:5.99x-16.95=

Who can help me out with this please????

Answers

Answer:

63

Step-by-step explanation:

9x7=63

You take a plane to NYC, which is 750 miles away. The trip takes about 180 minutes. At what speed did the plane fly in miles per hour?

Answers

Answer:

250 mph

Step-by-step explanation:

d = rt

180 min = 3 hr.

750 = 3r

r = 250 mph

[Inequalities]
Please help and thanks. 1
write the inequality pls.

Answers

Answer:

1. x≥-2

2. x<-2

Step-by-step explanation:

Answer:

1. n≥=-2

2. n<=-2

Step-by-step explanation:

hope this helps!! <33

Anna, Stephanie, and James all start running around a track at 8:00. Anna completes a lap every 4 minutes, Stephanie finishes a lap every 7 minutes, and James finishes a lap every 6 minutes. What is the earliest time when all three meet back at the beginning?

Answers

Answer:9:24

Step-by-step explanation:

We know that they will meet some time $T$ after 8:00 and that $T$ must be a multiple of 4, 7, and 6. So our job is to find the smallest multiple of those three numbers. Since 4 and 7 share no factors, the first number that is a multiple of both will be $4\cdot7=28$. Next, we must find the smallest multiple of 28 and 6. We can do this in two ways: by listing multiples of 28 until we find one that is a multiple of 6 or by finding what factors of 6 that 28 is missing and multiplying by those factors.

Method 1: The multiples of 28 go 28 (not divisible by 6), 56 (not divisible by 6), 84 (which is divisible by 6!)... So the smallest multiple of 4, 7, and 6 is 84.

Method 2: The factors of 6 are 1,2,3, and 6, so we can write 6 as $2\cdot3$. 28 is divisible by 2 but not by 3, so we must multiply it by 3. We find $28\cdot3=84$ and 84 is therefore the smallest multiple of 4, 7, and 6.

Now we just need to find the time that is 84 minutes after 8:00. Since 9:00 is 60 minutes after 8:00, we just need 24 more minutes after that (since $60+24=84$). The final time is therefore $\boxed{9:24}.$

Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

Anna, Stephanie, and James all start running around a track at [tex]8:00[/tex]. Anna completes a lap every [tex]4[/tex] minutes, Stephanie finishes a lap every [tex]7[/tex] minutes, and James finishes a lap every [tex]6[/tex] minutes.

So, the smallest multiple of [tex]4, 7[/tex] and [tex]6[/tex] is [tex]84[/tex].

Now we just need to find out the time is [tex]84[/tex] minutes so after [tex]8:00[/tex], it would be [tex]9:00[/tex] is [tex]60[/tex] minutes then after [tex]8:00[/tex], we need to move [tex]24[/tex] minutes more after that. The final time is [tex]9:24[/tex].

Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].

To know more about the division

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Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lager number

Answers

Answer:

17

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9  equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

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iminmymomscar_v itprettyalex old_creamcheese purplehawk_3000 dlowgetsmoney aj-0218

(15-17) (Purple Hawk_ 3000 is 21)

Answers

Answer:

i got you

Step-by-step explanation:

Answer: OK

Step-by-step explanation:

OK

find the value of given expression

[tex] \sqrt{ \frac{1000}{10} } [/tex]

Answers

Answer: 10

Step-by-step explanation:

Solve the inner fraction first: 1000/10 = 100

You will get sqrt(100) = 10

the base of a rectangular prism has an area of 9 square units. there are 4 layers of unit cubes. what is the volume of the rectangular prism?

Answers

Answer:

fafwqFASFASDAYGWFQEyaudfhUSEVWRGGRTHGRETARG

Answer:

36 square units

Step-by-step explanation:

base*height

9*4=36

A botanist collected data on the growth of sunflowers to maturity. She modeled the equation y=x+1/2 for the line of best fit

Answers

Answer:

The y intercept is 1/2

i.e. The starting height is 1/2

Step-by-step explanation:

Given

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

Required

Determine the y intercept --- Missing

At y intercept: [tex]x = 0[/tex]

So:

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

Substitute [tex]x = 0[/tex]

[tex]y = 0 + \frac{1}{2}[/tex]

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

The y intercept is 1/2

A tiny house has a length of 12 feet. The width of the kitchen is 9 feet and the width of the bathroom is 3 feet. The expersion 12(9+3) repersents the total area in square feet.

Answers

Answer:

144

Step-by-step explanation:

The total area of the first floor is required.

The area of the floor is  144ft^2.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

A tiny house has a length of 12 feet. The width of the kitchen is 9 feet and the width of the bathroom is 3 feet. The expersion 12(9+3) represents the total area in square feet.

we have,

The length of the room is 12 feet

Width of the room is:

9+3 = 12

Area is the product of length and width

A =  12(9+3)

Applying the distributive property

A =  12(9+3)

   = 12 * 9 + 12 * 3

   = 108 + 36

   = 144

The area of the floor is 144ft^2.

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This is my math homework it is do today plz help me i need it before 3:10 pm

Answers

use quizzes and type line plot and your question it helps alot

Find the product of this and simplify this: 2/5x5/1

Answers

2/5
5/1 = 5
The 5s would cancel each other so the answer is 2.

write the reciprocal of the following numbers.

Number: 7/10. Reciprocal______

Number: 1/2. Reciprocal______

Number: 5. Reciprocal_______​

Answers

Answer:

7/10 = 10/7

1/2 = 2/1

5 = 1/5

Step-by-step explanation:

The reciprocal is the flip of a fraction. 1/2 = 2/1

For a whole number (like 5) you put it over 1 (5/1) and then flip it (1/5)

Have a nice day! :)

Make me brainliest.

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