Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of
2.
Answer in slope-intercept form

Answers

Answer 1

Answer:

y = -3/2x + 2

Step-by-step explanation:

Since you know it has a point at (0, 2) - the y intercept, put those values into the equation and solve. To be perpendicular it seems the reciprocal of the slope with the opposite sign, so 2/3 is the original slope, and -3/2 becomes the new slope.

y = 2/3x + 8 becomes

2 = -3/2(0) + b  We substitute in the x and y values, but we have to figure out what the last number will be.

2 = 0 + b

b = 2

So put the whole equation together

y = -3/2x + 2


Related Questions

given the function f(x)=3x-5, for which value in the domain does f(x)=-38?

Answers

[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]

pls help me with this:((((​

Answers

Answer:

it's A (the first answer)

the second one is also A the height of the plant.

it's completely dependent on the starting size and the number of days.

James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have? ​

Answers

26 quarters, 22 nickels

10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer

Answers

Answer:

$175.45

Step-by-step explanation:

8.25 / 0.75 = 11

15.95 x 11 = 175.45

Please help me and If your answer is wrong or not appropreat I will report it

Simplify (-2x^(3)y^(7))^(2)(3x^(2)y^(2))^(5)

Answers

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

4×243 x^16 y^24

4×243 = 972:

Answer: 972 x^16 y^24

Answer:

972x^(16)y^(24)

Step-by-step explanation:

Hope it correct !!

Which of the following functions is graphed below

Answers

B. The quadratic is x < 3and the linear is x > or = 3

Question 2
1 pts
Directions: Include the inequality symbol and solution. If you need less than or equal
to, use "<" and for greater than or equal to use ">".
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most
$25 to spend on the cab ride, how far could she travel?
She could travel

Answers

Answer:

17.85 answer

Step-by-step explanation:

u add the following and the ans u get u take it away from 25

The inequality representing the given statement is 25 ≥ 7.5 + 0.35 x and Aliana can travel a total of 50 miles.

What is inequality?

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile,

Aliana has at most $25 to spend on the cab ride,

Write the equation as shown below,

The total charges of the taxi = flat rate + rate per mile × number of mile

The total charges of the taxi = 7.5 + x × 0.35

Here, x is the number of miles

The total charge should be equal to $25 or less than $25 then,

25 ≥ 7.5 + 0.35x

Solve for x

0.35x = 25 - 7.5

x = 17.5 / 0.35

x = 50 miles

Thus, she can travel a total of 50 miles.

To know more about inequality:

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Luis made an error when he used the distributive property to write an equivalent expression.

Which sentence describes the error?

35x−15====(5⋅7)−(5⋅3)5(7−3)5(4)20

Answers

Answer:

35x does not equal 5 times 7Step-by-step explanation:

The second step ''(5 × 7) - (5 × 3)'' has an error.

Given that;

Luis made an error when he used the distributive property to write an equivalent expression.

Here the expression is,

35x - 15

It can be written as;

(5 × 7)x - (5 × 3)

Take 5 as common,

5 (7x - 3)

Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.

To learn more about the equation visit:

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1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.

2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.

3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.

4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.

5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.​

Answers

1. This is a ratio question in disguise.

By parts of the question: "When y varies directly with x" -> y/x

"if y=8 when x=4" -> y/x = 8/4

"how do you find y when x=5" -> y/x = 8/4 = y/5

so  -y  = 8x5/4 = 10

That's all i got..

Which expressions are equivalent to -56z+28?
A.) 1/2⋅(-28z+14)
B.)(-1.4z+0.7) x 40
C.) (14-7z)⋅(-4)
D.)(8z−4)(−7)
E.)−2(−28z−14)
PLEASE HELP THANK YOU!!!

Answers

I think the answer is D :)

what is the solution
3x-1/4 = -5/11
(3x-1)11 = -5(4)
33x-11 = -20
+11 = +11
33x = - 9
33x/33 = -9/33
x = -3/11

Answers

Answer:

3x-1/4=-5/1111 (3x-1)=4 (5)33x-11=2033x=20+1133x=31x=31/33x=?

the school parking lot has a surface area of 841 square meters and is square in shape calculate the length of one side of the parking lot

Answers

Answer: 29 ft

Step-by-step explanation:

Says parking lot is a square.

Square root of 841 is 29

Seven less than three times the sum of a number and 5 is at least 11 Find all the number that satisfy this condition

Answers

Answer:

x <= -6.33333

(>= is greater than or equal to)

(<= is less than or equal to)

Step-by-step explanation:

7 - 3(x+5) >= 11

7 - 15 - 3x >= 11

-8 - 3x >= 11

-3x >= 19

x <= 19/-3

x <= -6.33333

please mark brainliest

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Seven less than three times the sum of a number and 5 is at least 11.

The sum of the a number (x) and 5 is given as,

⇒ (x + 5)

Three times the sum of a number and 5 will be given as,

⇒ 3(x + 5)

Seven less than three times the sum of a number and 5 will be

⇒ 3(x + 5) - 7

Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be

3(x + 5) - 7 ≥ 11

Simplify the inequality, then the value of x will be

3(x + 5) ≥ 18

   x + 5 ≥ 6

         x ≥ 1

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

More about the inequality link is given below.

https://brainly.com/question/19491153

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Can someone help me with this please.

Answers

Answer:

x = 29

Step-by-step explanation:

(x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90

3x = 87

x = 29

Answer:

x = 29

Step-by-step explanation:

(x+3)+(x-1)+(x+1) = 90

90 = 3x +3

3x = 87

x = 29

omg please i need help this is worth sm pointssss PLEASE BESTIES

Answers

Answer: 1. don't call me your bestie...

2. the answer is A. 72 B. 75 C. 55 D. 52 E. 112 F. 55 G. I'm not sure what G is

Which inequality is graphed on the number line?

Number line from 0 to 10. Start at 0. Count up by 1. Point t is depicted by an arrow from 6 to 0
A. t > 9
B. t < 0
C. t < 6
D. t > 6

Answers

Answer:

C

Step-by-step explanation:

If the line goes from 6 to 0 then that means it is decending and that T is LESS than 6

15 points!!! Please help with math

Answers

Answer:

  (b)  y -4 = 3(x -2)

Step-by-step explanation:

You are given the form

  y -y1 = m(x -x1)

and the values

  y1 =4, m =3, x1 =2

Putting these in their places gives ...

  y -4 = 3(x -2)

find the midpoint of CD with C(-4,5) and D(-1,-4).

Answers

Answer:

(-2.5, 0.5)

Step-by-step explanation:

(-4) + (-1) / 2 = -2.5

5 + (-4) / 2 = 0.5

3. Suppose Natalie put $2,400 in the bank for 5 years. She makes $9.20 in interest
every month. What is the annual interest rate?

Answers

Annual interest rate is 4.6%

hope this helps!

will mark brainleist

Answers

Answer:

x=5.834729, rounded down to 5.83

If someone is traveling 3mi per 15 mins how far do they go in 1min?

Answers

Answer:

0.2 mi

Step-by-step explanation:

3 mi for 15 min

so divide 3 mi by 15 min = 0.2

Find the equation of the line shown.
у
10
9
8
7
6
5
4
3
2
N
O
Х
1 2 3 4 5 6 7 8 9 10

Answers

Y=2x Could I have brainliest this helps ?

The equation of the line shown is y = 4 x

What is a straight line?

A straight line is the shortest distance between two points. the equation of straight line is represented as [tex]y = mx + c[/tex]

m is the gradient

y2, y1, x2, x1 are gotten from the graph

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

[tex]m = \frac{8 - 4}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

m = 4

c is the intercept on x-axis

from the graph c = 0

substituting the values give:

y = 4 x

read more on equation of straight line here: https://brainly.com/question/14323743

Yaniq has these two spinners
Answer it all right NO wrong​

Answers

Answer:

b should be 2/11

c should be 2/11 as well

Step-by-step explanation:

Used The Graph info

total spins 11

both are 2over9

Step-by-step explanation:

9 results 2 only

need help asap plz help

Answers

Number three is D and number 4 is also D.

Explanation for number three:

When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40

Explanation for number 4:

In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.

Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?

Help please?​

Answers

Answer:

21.25 feet

Step-by-step explanation:

16.5 feet

+14.75

=21.25 feets

Add the two together and you get 31.25

Answer this please!!!

Answers

Answer:

$40

Step-by-step explanation:

3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.

Answers

Answer:

False

Step-by-step explanation:

Hope this helped

Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.

Answers

The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include

Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.

The operations performed on the triangle are the following

A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.

So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.

So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Learn more about transformations here:

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Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response.

Answers

Answer:

50

Step-by-step explanation:

she pays 10 in a flat fees and 2 dollars a minute so you multiply the 2 by 20 and add 10

Suppose the length and width of a 6 by 10 sandbox is doubled. Find the percent change in the perimeter. Find the percent change in the area

Answers

Answer:

it becomes a 12 by 20

Step-by-step explanation:

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