Write an equation for the line that has a slope of -2/3 and goes through the point (-6,8)

Write An Equation For The Line That Has A Slope Of -2/3 And Goes Through The Point (-6,8)

Answers

Answer 1

Answer:

The solution is in the image

Write An Equation For The Line That Has A Slope Of -2/3 And Goes Through The Point (-6,8)
Answer 2

Answer:

y = (-2/3)x + 4

Step-by-step explanation:

the equation of a line is given by the formula y = mx + b where m is the slope and b is the y intercept.

so,

y = (-2/3)x + b

to find b we plug in the values of x and y given by the point (-6,8)

8 = 4 + b

b = 4

so y = (-2/3)x + 4


Related Questions

9,390 chairs at 1,565 tables =
chairs per table

Answers

---Divide by 1565

9390 chairs / 1565 tables

6 chairs / table

Hope this helps!

factor out the ___ from the number to make it positive​

Answers

factor out the -1 to make it positive

Gordon was thinking of a number. Gordon doubles it, then adds 20 to get an answer of 66.3. What was the original number?

Answers

Answer:

23.5

Step-by-step explanation:

let's take the number as X

2X+20=66.3

2X=66.3-20

X=23.15

Answer:
23.15

23.15 X 2 = 46.3

46.3 + 20 = 66.3

The length of a field measures 3.5 miles.

what does the length of the field measure in feet?

note: 1 mile = 5,280 feet


13,200 ft

15,840 ft

18,480 ft

21,120 ft

Answers

Answer:

18480 feet

Step-by-step explanation:

5280 feet are in a mile 3.5 ×5280=18480

Evaluate 8 7/8 + (7 5/6−2 1/3)

Answers

Answer:

14.375 Or 115/8

Step-by-step explanation:

since 8 7/8 = 71/8 and 7 5/6 = 47/6 and 2 1/3 = 7/3

then 71/8 + ( 47/6 - 7/3) = 115/8

Examine the following PSA How is the creator of this PSA sharing a viewpoint about the importance of reading? by providing a strategy for encouraging kids to read more often by showing what will happen if people do not read frequently by highlighting one of the benefits that comes from reading by featuring a specific fact about the importance of reading

Answers

The statement third “by highlighting one of the benefits that comes from reading” is correct.

What is reading?

Reading is a thinking process that entails interpreting words in deriving information.

We have statements about the importance of reading:

by providing a strategy for encouraging kids to read more often.by showing what will happen if people do not read frequently.by highlighting one of the benefits that comes from reading.by featuring a specific fact about the importance of reading.

According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.

Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.

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Answer:

C

Step-by-step explanation:

Which of the following indicates that AABC and ADEF are similar?

Answers

Answer:

  C.  ΔABC ~ ΔDEF

Step-by-step explanation:

The operators in the different answer choices are used to describe different kinds of relations.

  A.  "almost equals" or "is approximately"

  B.  "equals"

  C.  "is similar to" (tilde operator)

  D.  "is congruent to"

__

Additional comment

"Congruent" is used to describe geometrical figures in which all corresponding measures are identical. "Equal" generally refers to the relationship between algebraic or numerical values or expressions.

"Is approximately" is used to describe values that are the same within a suitable tolerance or error range. For example, 23.4 ≈ 23.352, where the value on the left has been rounded to the nearest tenth. (It is within 0.05 of the value on the right.)

Can someone help me with this?

Answers

Answer:

s = 3, j = 14

Step-by-step explanation:

The full perimeter is 35.

The given sides we have are 7, 2, 4, 5, and the two missing ones.  We will call the two missing ones j and s. (according to your drawing.)

-

The side with the number 7 on it is equal to the side with the number 4 and s.

Can you see that?  Even if it's not a direct side, it is under it. (if you can't see that comment below.)

-

Now since we know that we can make an equation:

7=4+s

Subtract 4 on both sides.

3=s.

We now have the length of s, which is 3.

-

Since we now know what s is, we can add them all up once more.

3+5+7+2+4=21

You said the full perimeter is 35.  This means j has to be 35-21, which is 14.

-

This drawing is not drawn to scale, I assume you are drawing this for practice.

-

Good luck on your test!

a) plot the graph of y= 5 and 2x + y = 8
b) wirte down the coordinates of the point where they cross
explain the steps pls?

Answers

The graph is shown below. Then the linear system crosses each other at (1.5, 5).

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given below.

y = 5 ...1

2x + y = 8 ...2

The graph is shown below.

By equations 1 and 2. Then we have

2x + 5 = 8

     2x = 3

       x = 1.5

Then the lines cross each other at (1.5, 5).

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

Length be x

width be x-5

So

Area=Length×Breadth

x(x-5)=750

Or

If x turned y

y(y-5)=750750-y(y-5)=0

Option C

Option A can be true as per commutatI've property

y²-5y=750

Option B is true

Answer:

y² - 5y = 750

750 - y(y - 5) = 0

(y + 25)(y - 30) = 0

Step-by-step explanation:

Formula

Area of a rectangle = length × width

Given:

y = length of the room(y - 5) = width of the room750 ft² = area of the room

Substituting the given values into the formula and rearranging in different way:

Equation 1

⇒ 750 = y(y - 5)

⇒ y(y - 5) = 750

⇒ y² - 5y = 750

Equation 2

⇒ 750 = y(y - 5)

⇒ 750 - y(y - 5) = 0

Equation 3

⇒ 750 = y(y - 5)

⇒ y(y - 5) - 750 = 0

⇒ y² - 5y - 750 = 0

⇒ y² - 30y + 25y - 750 = 0

⇒ y(y - 30) + 25(y - 30) = 0

⇒ (y + 25)(y - 30) = 0

Find the remainder of 2338when divided by 55. b) What is the inverse of 23 modulo 55 i.e. which number a has the property that 23*a has the remainder 1 when divided by 55?

Answers

a) 2338 ≡ 42 • 55 + 28 ≡ 28 (mod 55)

b) We want to find a such that

23a ≡ 1 (mod 55)

Use the Euclidean algorithm:

55 = 2 • 23 + 9

23 = 2 • 9 + 4

9 = 2 • 4 + 1

⇒   1 = 9 - 2 • 4

⇒   1 = 9 - 2 • (23 - 2 • 9) = 5 • 9 - 2 • 23

⇒   1 = 5 • (55 - 2 • 23) - 2 • 23 = 5 • 55 - 12 • 23

Solve for a :

5 • 55 - 12 • 23 ≡ 1 (mod 55)

⇒   -12 • 23 ≡ 1 (mod 55)

⇒   a ≡ -12 ≡ 43 (mod 55)

Driving school A has 386 learner drivers and 284 pass their test first time. Driving school B has 220 learner drivers and 154 pass their first time. What is percentage pass rate of the more successful school? Answer to the nearest whole number.

Answers

Answer:

the more successful school is A

with a percentage pass rate of 74 % (to the nearest whole number)

Step-by-step explanation:

The percentage pass rate of school A :

(284÷386)×100 = 73.575129533679 %

The percentage pass rate of school B :

(154÷220)×100 = 70 %

73.575129533679 > 70

Then ,the more successful school is A

with a percentage pass rate of 74 % (to the nearest whole number)

Solve the equation.
7x2 + 5 - x = 6x2 + 10
X =
20
It

Answers

Answer:

1 +√21 + 1 - √21
2 2

Step-by-step explanation:

Which probability is correct? p(a) = three-fifths p(b) = startfraction 16 over 31 endfraction p(a|b) = two-sevenths p(b|a) = startfraction 10 over 21 endfraction

Answers

The correct probability expression is (a) P(a) = three-fifths

How to determine the correct probability ?

Using the data in the complete question, we have:

n(A) = 3

n(U) = 5

The probability of A is then calculated using:

P(A) = n(A)/n(U)

This becomes

P(A) = 3/5

Hence, the correct probability expression is (a) P(a) = three-fifths

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Answer:

It’s A my friend

Step-by-step explanation:

i did the quiz

yw :)

hope i helped/ made life easier

Which expression is a cube root of -1+ i sqrt 3? (multiple choice)

Answers

Answer:

see below

Step-by-step explanation:

Find the magnitude   (-1)^2  + (sqrt3)^2 = m^2   m = 2

find the angle    arctan (sqrt3/-1) = 120 degrees

the cube root would then be

[tex]\sqrt[3]{2}[/tex](cos 40 + isin 40)

Tell whether the following postulate or property of the plane euclidean geometry has a corresponding statement in spherical geometry. explain your reasoning or write the corresponding statement.

1. if two lines form vertical angles, then the angles are equal in measure.

2. if two lines meet a third line at the same angle, those lines are parallel.

3. three lines can form two triangles.

4. three non-parallel lines divide the plane into 7 separate parts.

Answers

When two lines form vertical angles, then the angles are equal in measure. This is true.

What is a vertical angle?

Vertical angles are angles opposite each other where the two lines cross. When two lines meet a third line at the same angle, those lines are not parallel.

There are no parallel lines in spherical geometry. On the globe, all the lines of longitude meet the equator at the right angle.

Three lines can form two triangles. This is true as three noncollinear points determine the triangle in spherical geometry.

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How you would divide. 17.6 divided by 3.2? *

Answers

The answer is 5.5 I know it is

What binomial do you have to add to the polynomial 2x^2+3y^2-5xy+1 to get the following?
a polynomial that does not contain the variable y

Answers

Answer:

-3y^2+5xy

Step-by-step explanation: Just cancel out all of the numbers with the variable "y"

Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]  gives  polynomial  that does not contain the variable y .

What is binomial?

A mathematical expression consisting of two terms connected by a plus sign or minus sign .

Example: x + 2 is a binomial, where x and 2 are two separate terms.

What is polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer

According to the question

polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]

when added with  [tex]-3y^{2}+5xy[/tex]  

= [tex]2x^{2}+1[/tex]   (as [tex]3y^{2} -5xy[/tex] got cancelled )

that does not contain the variable y

Hence, Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]  gives that does not contain the variable y .

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PLS help

Jaime rode her bike 5 miles north to the park to meet a friend. Then they rode east to the library. If Jaime's house is 13 miles from the library, about how far is the library from the park?

Answers

please

that is the solution

Answer:8 miles

Step-by-step explanation:

Multiply.
(2y+5) (5y + 7)
Simplify your answer

Answers

Answer: I think it might be 10y

2

+39y+35

Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.

hope this helps!

♥ Chen was here

Answer:

10y^2 + 39y +35

Step-by-step explanation:

First distribute (2y+5)(5y+7)-

2y(5y + 7 )+ 5(5y + 7) This turns into:

10y^2 + 14y + 25y +35

Now combine the like terms (14y+25y)

You should get 10y^2 + 39y + 35 which is your final answer. :)

5 Air bags in a car 'explode' at 340 km/h.
a Convert this to metres per second.
b How long would the air bag take to move 10 cm?
Give your answer to the nearest thousandth of a second.​

Answers

Answer:

a. 94.444 m/s

b. 0.001 s

Step-by-step explanation:

We know that:1 km = 1000 m & 1 h = 3600s

#a

Explosion speed of air bag = 340 km/h

-> Explosion speed of air bag [tex]= 340\times \frac{1000\: m}{3600 \:s}[/tex]

-> Explosion speed of air bag [tex]= 94.444\: m/s[/tex]

#b

Speed = 94.444 m/s = 9444.4 cm/sDistance = 10 cmFormula relating time speed and distance is given as:

[tex] Time =\frac{distance}{speed}[/tex]

[tex]\implies Time =\frac{10}{9444.4}[/tex]

[tex]\implies Time =0.00105882851 \: s[/tex]

[tex]\implies Time \approx 0.001\: s[/tex]

A
31
-ft ladder leans against a building so that the angle between the ground and the ladder is
80

How high does the ladder reach on the building? Round answer to one decimal place

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

So, I'm trying to solve this question but I can't quite jog my mind, A little help here maybe > Forest City has ordered 36 maple trees and 54 dogwood trees to be planted in groups in a city park. Each group will have the same number of maple trees and dogwood trees.

Answers

By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.

Can the trees be planted in 6, 8, or 9 parts?

We know that each of these parts needs to have the same number of each type of trees.

So we need to see if 6, 8, or 9, are common factors between 36 and 54.

First:

6*6 = 36

9*4 = 36

So 9 and 6 are factors of 36.

And 9*6 = 54

So 9 and 6 are factors of 54.

(8 is not a factor of neither)

So 9 and 6 are common factors between 36 and 54.

Then we can divide the trees in 6 or in 9 parts, but not in 8.

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how many cups are there in 2.5 pt

Answers

Answer:

Approximately 6 cups

Step-by-step explanation:

One pint is equal to 2.402 cups. Multiplied by 2.5, that gives you 6.00475. The final answer (6 cups) is rounded.

Solve the equation 3x²− 55 = 92
x = 7 and -7
x = 7
x = 8 and -8
x = 49

Answers

Answer:

the answer is x=7 and -7

Hope this helps!!

What is the equation of the quadratic function represented by this table?

Answers

The equation of the quadratic function is y = -1/4(x + 2)² + 4

How to determine the quadratic equation?

A quadratic equation is represented as:

y = ax² +bx + c

When x = 0 and y = 3, we have:

3 = a(0)² +b(0) + c

This gives

c = 3

So, we have:

y = ax² +bx + 3

When x = 1 and y = 1.75, we have:

1.75 = a(1)² +b(1) + 3

This gives

a + b = -1.25

Make b the subject

b = -1.25 - a

When x = -2 and y = 4, we have:

4 = a(-2)² +b(-2) + 3

This gives

4a - 2b = 1

Substitute b = -1.25 - a in 4a - 2b = 1

4a - 2(-1.25 - a) = 1

Expand

4a + 2.5 + 2a = 1

Evaluate the like terms

6a = -1.5

Divide both sides by 6

a = -1/4

Substitute a = -1/4 in b = -1.25 - a

b = -1.25 + 1/4

Evaluate

b = -1

So, we have:

y = -1/4x² - x + 3

Factor out -1/4

y = -1/4(x² + 4x) + 3

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

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)² = 4

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

Add and subtract 4 inside the bracket of y = -1/4(x² + 4x) + 3

y = -1/4(x² + 4x + 4 - 4) + 3

Expand

y = -1/4(x² + 4x + 4) + 1 + 3

Evaluate the sum

y = -1/4(x² + 4x + 4) + 4

Express the bracket as a perfect square

y = -1/4(x + 2)² + 4

Hence, the equation of the quadratic function is y = -1/4(x + 2)² + 4

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(03.03 LC) look at points C and D on the graph:
What is the distance in units between points c and d? Round your answer to to nearest hundredth

Answers

3.97, 1 - .03 = .97 , .97 + 3 = 3.97

Consider the following data set with 20 scores { 23 15 16 15 25 14 14 18 26 23 25 24 14 25 29 15 24 29 21 19}. How many scores are below or equal to the 60th percentile?

Answers

Answer:

60th percentile = 23.5

Step-by-step explanation:

Put numbers in order from lowest to highest:

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

Formula:

60th percentile = 60% x Total number of elements

We have 20 scores,

60th percentile = 60% x 20

                          = 0.60 x 20

                          = 12

the 60th percentile is the 12th number on the list

14, 14, 14, 15, 15, 15, 16, 18, 19, 21, 23, 23, 24, 24, 25, 25, 25, 26, 29, 29

The 60th percentile is between 23 and 24

23 + 24 / 2 = 23.5

A sequence is represented by the formula an=-5+a(n-1). If a4 = 20, what is the 6th term in the sequence?

PLEASE HELP!!​

Answers

Answer:

10

Step-by-step explanation:

Formula :

aₙ = -5 + aₙ₋₁

Finding a₅ :

a₅ = -5 + a₄a₅ = -5 + 20a₅ = 15

Finding a₆ :

a₆ = -5 + a₅a₆ = -5 + 15a₆ = 10

Really need help and am hoping someone can help me!!

Answers

f(g(x))= 15x+21 because you insert the G(x) into the x in the F(x) equation
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