Write an equation of the line passing through the point (7, 3) that is parallel to the line 4x−7y=9.

Answers

Answer 1

Answer:

The equation of the line is y = 4x/7 - 1

Step-by-step explanation:

The equation of a straight line can be represented by

y = mx + c

where m represents the slope and c represents the y-intercept

So for;

4x - 7y = 9

7y = 4x - 9

y = 4x/7 - 9/7

The slope here is 4/7

Since the line we are trying to form is parallel, then the slope of the line is 4/7 also, since parallel lines have equal slope

So the equation of the new line will be;

y = 4x/7 + c

To get c, just put the point x = 7 and y = 3

3 = 4/7(7) + c

3 = 4 + c

c = 3-4

c = -1

So the equation of the line is;

y = 4x/7 - 1


Related Questions

convert 86 meters to inches. ?
I'm so stuck rn because she says show how you got the answer never In a million years i thought i would never be doing medical math​

Answers

Answer:

86 meters equals 3385.83 inches

825 centimeters equals 324.803 inches

Step-by-step explanation:

The formula is divide the length value by 2.54

Hope this helps!

PLEASE HELP ASAPPPPPP

Answers

Answer:

y = x

Step-by-step explanation:

The C's are both placed at 5

60 percent of what number is 30? StartFraction 60 times 2 Over 30 times 2 EndFraction = StartFraction 120 Over 60 EndFraction StartFraction 30 divided by 1 Over 60 divided by 1 EndFraction = StartFraction 30 Over 60 EndFraction StartFraction 60 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 30 Over 50 EndFraction StartFraction 100 times 2 Over 30 times 2 EndFraction = StartFraction 200 Over 60 EndFraction

Answers

Answer:

C.

Step-by-step explanation:

I answerd this on Edgenuity and got it right.

Answer:

Its C..

Step-by-step explanation:

I just took the test on edge.

Hope this helps

What is the missing length of this rectangle?

Answers

answer:
5ft

explanation:
9ft - 4ft = 5ft

ASAP! I'LL GIVE YOU 10 POINTS! Can someone help me with my math? Please, I am begging you! It was due yesterday and I'm confused.
1. A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
2. Write the following equation forms given that f(−3)=4 and f(−1)=−4 are true of the line: Slope-Intercept Form:
Standard Form:

Answers

So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.

Point slope form equation: y-y1=m(x-x1)
Where m=slope
Y1 is any y value from a point on the graph
X1 any x value from the same point on the graph

The first thing to do is find the slope

M= (9-7)/(1-0)=2/1=2

Next is to sun in values

the point given is (1,9)

So we put 9 in place of y1 and 1 in place of x1

So the line in point slope form is

Y-9=2(x-1)

Y intercept formula: y=mx+b

The only new letter is b which is the y intercept value (0,b)

The y intercept is the point where x is 0 which the problem says is (0,7)

So, keeping the same slope

The answer is

Y=2x+7

Standard form: Ax+By=C

Where A,B, and C are integers (can’t be fractions)

If you reorder the slope intercept form

You get

-2x+y=7

You have to flip the signs because a needs to be positive

So the answer is

2x-y=-7

2)

When you see something like f(-3)=4
That is saying when x is equal to -3, the whole equation is equal to 4

So f(x)=n

So when x is -3, y is 4 and when x is -1, y is -4

M=(4+4)/(-3+1)=8/-2=-4

Sub in points to find b

4=-4(-3)+b
4=12+b
b=-8

So,

Y=-4x-8

Std form

Move -4x to the left with addition to get

4x+y=-8

Hope that helped!

simplify.show work
(3·9-3²)-10


thanks please show work

Answers

Answer:

8

Step-by-step explanation:

We will use a variety of elementary arithmetic skills to evaluate this expression.

The order of operations goes as follows:

P-Parentheses

E-Exponents

M-Multiplication

D-Division

A-Addition

S-Subtraction

For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.

[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]

How does 8 × 2 1 3 compare to 8? A) Less than 8 because you are multiplying by number less than 1. B) Greater than 8 because you are multiplying by a number less than 1. C) Less than 8 because you are multiplying by a number greater than 1. D) Greater than 8 because you are multiplying by a number greater than 1.

Answers

Answer:

Greater than 8 because you are multiplying by a number greater than 1.

Step-by-step explanation:

When 8 is multiple by another number, say x, the product is;

I) less than 8 if x<1

ii) equal to 8 if x=1

iii) greater than 8 if x> 1

Since 213 is greater than 1,then the product of 8 × 2 1 3 is greater than 8.

Find the sum or difference of the polynomials. (7x2 + 5x − 3) + (4x2 − 3x + 2)

Answers

Answer:

[tex]11x^{2} +2x-1[/tex]

Step-by-step explanation:

Combine Like Terms:

[tex]7x2+5x+-3+4x2+-3x+2[/tex]

[tex](7x^{2} +4x^{2} )+(5x+-3x)+(-3+2)[/tex]

[tex]11x^{2} +2x-1[/tex]

For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram to show the numbers of food vouchers and raffle tickets in 111, 222, 333, and 444 donor packages. Choose 1 answer: Choose 1 answer:

Answers

Answer:

It's A

Step-by-step explanation:

Can anyone help me with this ?

Answers

Answer:

b i think

Step-by-step explanation:

convert 7.2 • 10^-3 to standard form.

A) 72,000
B) 7,200
C) 0.0072
D) 0.00072

Answers

Answer:

i think the answer is C

Step-by-step explanation: Because if it has a subtract sign you move decimals to the left.

In the diagram shown below, Points M, N and P are collinear. If MN = 3x-9, NP = x+1 and MP= 6x-22, solve for the value of X (Answer notation: x=__)

Answers

Answer:

The value of x is 7

Step-by-step explanation:

M, N and P are collinear means they lie on the same line.

Mathematically;

MP = MN + NP

Thus;

6x-22 = 3x -9 + x + 1

6x-22 = 4x -8

6x -4x = -8 + 22

2x = 14

x = 14/2

x = 7

What is the value of the expression x-3y when x=6 and y=12

Answers

Answer:

-30

Step-by-step explanation:

Original Equation:

x - 3y

Plug in the values.

6 - 36

-30

Hope I helped :)

Please consider Brainliest :)

Tate started at -12 on a number line and drew a line to -25. How long is the line he drew?

Answers

Answer:

-13

Step-by-step explanation:

-25-(-12)

9(3+c+4)
I need the answer ASAP please

Answers

27+9c+36 or 63+9c. i believe that’s right.
9(3 + c + 4)
27 + 9c + 36
9c + 63
9c = -63
c = -7

Simplify the expression (7a5b6)4 .

Answers

Answer:

28a20b24

Step-by-step explanation:

(7a5b6)4

= (7a*4)(5b*4)(6*4)

= 28a20b24

Consider this polynomial, where a is an unknown real number.
Braulio
(a. correctly
b. incorrectly)
found the value of a because he
(a. correctly performed synthetic division
b. should’ve solved the equation a + 14 = -17
c. should have used -1 instead of 1
d. made a mistake in the fourth column of his work )

zahra
(a. incorrectly
b. correctly)
found the value of a because she
(a. incorrectly applied the powers to -1
b. should have substituted 1 instead of -1
c. should have solved the equation a + 18 = -17
d. correctly substituted and evaluated the polynomial)

Answers

Answer:

Step-by-step explanation:

Correct steps to find the value of 'a' should be,

Braulio's synthetic division should be,

-1  |     1       5         a          -3           11

   

               -1        -4        (4 - a)     (a - 1)  

         1      4     (a - 4)     (1 - a)     (a + 10)

Here remainder is (a + 10).

So (a + 10) = 17 ⇒ a = 7

Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.

Zahra's calculation by remainder theorem should be,

p(x) = x⁴ + 5x³ + ax² - 3x + 11

p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11

      = 1 - 5 + a + 3 + 11

      = (a + 10)

Since, remainder of the solution is 17,

(a + 10) = 17 ⇒ a = 7

Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).

Answer: incorrectly, should have used -1 instead of 1

incorrectly, incorrectly applied the powers to -1

Step-by-step explanation:

describe how you can find distances using a scale drawing.

Answers

Answer: Calculating the Actual Distance using the Scale

Step-by-step explanation: If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.

find the value of x, I need help with that

Answers

Answer:

x = 62

Step-by-step explanation:

just do vertically opposite:

180-90-28 = 62

because they are vertically opposite, x=62

also could do:

90-28=62

Ratio of AC:CB???
.———.—————.

Answers

Answer:

2:3 I think

Step-by-step explanation:

What is the simplified expression for the expression below?
-1(2x + 3) – 2(x - 1)
0 4x + 1
-4X-2
-4x+2
-4x - 1
I need help ASAP !!! Timed test

Answers

I think it is -4x -1?
Yeah it is the last one


Carmen creates the ratio table below based on one 8-ounce serving of juice



How many total calories will 4 servings of juice contain?

A) 420

B) 520

C) 650

D) 780

Answers

Answer:

B

Step-by-step explanation:

The pattern is adding 130, or multiply the servings by 130.

so if 3x=390, you would divide both sides by 3 and get 130.

This means that x=130

Now plug in 4x=?

You would get 4*130=?

if you do the math through multiplication you would get 520

Answer:

B

Step-by-step explanation:

I got the unit test right on edg 2020

What is the inverse of function f? f(x)=10/9r+11

Answers

[tex]f(x) = \frac{10}{9}x + 11 \\ [/tex]

So :

[tex]y = \frac{10}{9}x + 11 \\ [/tex]

Subtract the sides of the equation minus 11

[tex]y - 11 = \frac{10}{9}x \\ [/tex]

Multiply the sides of the equation by 9

[tex]9(y - 11) = 10x[/tex]

[tex]9y - 99 = 10x[/tex]

Divided the sides of the equation by 10

[tex] \frac{9y - 99}{10} = x \\ [/tex]

So :

[tex] {f}^{ - 1}(x) = \frac{9x - 99}{10} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

PLSSS FAST
3x 300

x = 10
x = 100
X =
100
x = 297

Answers

Answer:

x=100

Step-by-step explanation:

What is the simplified form of the following expression?
11[(92 – 52) = 22 + 8]
O A. 224.5
O B. 242
C. 51.3
OD. 110

Answers

Answer:

B. 242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

it's 9 squared and 5 square. 9^2 5^2

Select the word that best completes the sentence.
Maya is asked to solve the equation 2(3x + 6) = 3(x - 10). The table shows her steps.
Given
2(3x + 6) - 3(x - 10)
Step 1
6x + 12 = 3(x - 10)
Step 2 6x + 12 - 3x + 30
Step 3 3x + 12 - 30
Step 4 3x - 18
Step 5 x = 6
Complete the sentence.
Maya made a mistake
between _____ Step 1 and Step 2. A. Adding B. Distributing C. Dividing D. Subtracting

Answers

Answer:

B

Step-by-step explanation:

susuusjakaajjajajajaajajaj

anyone can help me this thankyou​

Answers

Answer:

s² - 225 = 0

Step-by-step explanation:

Area of square = side  * side

s * s = 225

s² = 225

s² - 225 = 0

integers are natural numbers.

Answers

Answer: False

Step-by-step explanation:

Hope this helps

Three sides of a triangle are consecutive even integers. The
perimeter of the triangle is 48 in. Find the side lengths of the
triangle.

Answers

Answer:

The side lengths of the triangle are 14, 16, and 18.

Step-by-step explanation:

(x) + (x + 2) + (x + 4) = 48

3x + 6 = 48

3x = 42

x = 14

(14) = 14

(14 + 2) = 16

(14 + 4) = 18

The required lengths of side of triangle are 14 in, 16 in and 18 in.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Sides of a triangle are consecutive integers.

Also given that,

Perimeter of triangle is 48.

Let the sides of triangle are x, x+2 and x +4.

x + x + 2 + x + 4 = 48

3x = 48 - 6

3x = 42

x = 14

The length of the triangles  

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

The side lengths of the triangle are 14, 16 and 18.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

Which expression is equivalent to cos(103°)cos(54°) – sin(103°)sin(54°)?

sin(49°)
cos(49°)
sin(157°)
cos(157°)

Answers

Answer:

D - cos(157)

Step-by-step explanation:

Cos sum angle identity

cos(A+B) = cosAcosB - sinAsinB

103+54=157

The correct answer to the question is Cos 157

There are two ways to solve this question:

Method 1:

Evaluate: Cos103Cos54 – Sine103Sine54

This can be obtained as follow:

Cos103Cos54 – Sine103Sine54

= –0.1322 – 0.7883

= –0.9205

Next, we shall evaluate each option given in the question to see which will be equivalent to –0.9205. This is illustrated below:

Sine 49 = 0.7547

Cos 49 = 0.6561

Sine 157 = 0.3907

Cos 157 = –0.9205

From the above evaluation, we can see that Cos 157 is equivalent to Cos103Cos54 – Sine103Sine54

Thus, Cos 157 is the correct answer to the question.

Method 2

Again, we can apply the addition formula from trigonometry.

Cos (A – B) = CosACosB + SineASineB

Cos (A + B) = CosACosB – SineASineB

Sine (A + B) = SineACosB + SineBCosA

Sine (A – B) = SineACosB – SineBCosA

Comparing

Cos103Cos54 – Sine103Sine54 with the formula given above, it is very clear that:

Cos103Cos54 – Sine103Sine54 = Cos(103 + 54)

Cos103Cos54 – Sine103Sine54 = Cos 157

Recall:

Cos103Cos54 – Sine103Sine54 = –0.9205

Cos 157 =  –0.9205

Therefore, Cos 157 remains the correct answer to the question.

Learn more: https://brainly.com/question/24487371

Other Questions
Please answer this question - my sibling is bothering me about this question, I have school work to do, please answer. Urgent.People are putting together goodie bags to sell for a fundraiser. They have 30 chocolate cupcakes, 24 brownies, and 40 chocolate chip cookies. What would be the greatest number of bags they could make if each bag is to have the same number of each kind of treat?Thank you why do you think the effect beauty nail care in your personal life teaching is an influencing job to the present day ,, justify The point Q (5,3) is translated 2 units left. What are the coordinates of the resulting point Q? Carbohydrate, Protein, and Fat Digestive Enzymes A key objective in this chapter is to identify the major enzymes in the digestion of carbohydrates, proteins, and fats as well as the organs that secrete them. This activity requires you to match the enzyme with the secreting organ. Drag the names of the enzymes to their respective bins, representing the appropriate secreting organ. Some organs secrete more than one enzyme. 1. pancreatic amylase2. pepsin3. salvary amylase4. gastnc lipase 5. pancreatic lipase6. trypsin 7. chymotrypsin8. carboxypeptidaseA. Salivary Glands B. Stomach C. Pancreas D. Small Intestine Please help me with this math ;( George bought nachos and two granola bars for $4.95. The nachos were $2.75. How much is one granola bar? 16=4+3(t-2) fast someone 1628) said that the king could not use the military to rule during peacetime or let soldiers live in peoples homes. Rule of Law is a result of this document. The organized the Boston Tea Party to protest high tax rates imposed on the colonies. Dressed as Mohawk Indians, colonists boarded ships in Boston Harbor and destroyed many crates of tea. In response, Parliament passed the . These acts prohibited colonists from holding in Boston as punishment for the Boston Tea Party. Given m || n, which pair of angles are not vertical angles?1 23 m4568 7A write about a sports event Where does Sir Gawain seeks for the Green Knight? I live in florida. we've had some very close election results in recent years with democrats and Republicans fighting neck to neck to win our 29 electoral votes. In fact, that's why they call my state "battleground state". Is this in a favor of the electoral college or not? Expressed powers in the Constitutionare given to which government?A. nationalB. stateC. local In conducting polls, the universe is all members of the Why does academic argument depend upon legitimate propositions? Select three ratios that are equivalent to 5:2Choose 3 answers: Someone help me please1.What does Warren Binford mean by balancingrights to protection with rights to participation?2. Why does Jeffrey Arnett think its ironic that drivingis one of the first adult privileges Americans get? Apply the distributive property to produce an equivalent expression for 6(7e + 3).42 e +______