Write an equation of the line that passes through (0,9) and is parallel to the line y = 8x+7.

Answers

Answer 1

Answer:

[tex]y=8x+9[/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)Parallel lines always have the same slopes and different y-intercepts

1) Determine the slope

[tex]y = 8x+7[/tex]

From the given equation, we can identify 8 to be in the place of m, making 8 the slope. Because parallel lines always have the same slopes, the line we're currently solving for will also have a slope of 8. Plug this into [tex]y=mx+b[/tex]:

[tex]y=8x+b[/tex]

2) Determine the y-intercept

[tex]y=8x+b[/tex]

The y-intercept occurs when x=0. The given point is (0,9), telling us the the y-intercept is 9. Plug this into [tex]y=8x+b[/tex]:

[tex]y=8x+9[/tex]

I hope this helps!


Related Questions

Using the figure at the left, complete the extended similarity statement:

ΔUVW ∼ Δ _______ ∼ Δ __________

Answers

Answer:

[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]

Step-by-step explanation:

The triangles UVW, UVA and UAW, since all three are right angles and have the same combination of angles, meaning the existence of proportionality between corresponding lengths. That is:

[tex]UA \propto AV \propto UV[/tex], [tex]AW \propto UA \propto UW[/tex], [tex]UW \propto UV \propto WV[/tex]

Hence, the complete similarity statement is:

[tex]\triangle {UVW} \sim \triangle {UVA} \sim \triangle {UAW}[/tex]

Marianna’s company received 1,240 orders for her handmade gift baskets. If her company can complete 98 orders in a day, how many days will it take to complete all of the orders?

Answers

Answer:

13 days

Step-by-step explanation:

1240 divided by 98 is 12.65... and you need to answer in whole days so its 13

Find the m RP value

Answers

Answer:

arcm<RP = 136degrees

Step-by-step explanation:

From the given circle;

<Q = 1/2arc mRP

Given

<Q = 68degrees

68 = 1/2 arcM<RP

2 * 68 = arcm<RP

136 =arcm<RP

arcm<RP = 136degrees

a 1lb box costs .50 to mail through the postal service. a 3lb box cost .92 to mail through the postal service. the postal services calculates the weight to the whole pound. what functions represent the total cost f(x), to send a letter that is x pounds? select all that apply.
A- f(x)=0.21(x-1)+0.50
B- f(x)=0.50(x-1)+0.21
C- f(x)=0.50x
D- f(x)=0.21x+0.29
E- f(x)=0.21x

Answers

Answer:

- f(x)=0.50(x-1)+0.21

Can someone help? thank you

Answers

Answer:

3,4,5

Step-by-step explanation:

Net income was 89400; accounts receivable decreased by 24000; inventory increased by 14400; proceeds from the issuance of long-term debt were 30000

Answers

Answer:

Net cash provided by operating activities = $135,800

Step-by-step explanation:

Given:

Net income = 89400

Accounts receivable decreased = 24000

Inventory increased = 14400

Issuance of long-term debt = 30000

Missing data;

Accounts payable decreased = $8,200

Equipment purchases = 100,000

Depreciation and amortization expense = $45,000

Find:

Net cash provided by operating activities

Computation:

Particular                                                        Amount

Net Income                                                 89400

Add Amortization                                        45000

Net income before non cash expenses 134400

Add Decrease in AR                                 24000

Less Increase in inventory                     14400

Less Decrease in AP                                  8200

Net cash provided by operating activities $135,800

Simplify the sum. State any restrictions on the variable.

Answers

Answer:

2/z

Step-by-step explanation:

Add 5 and 7

The answer will be 12

12/6z

Since both the numerator and denominator is divisible by 6 divide 6 on both the numerator and denominator

2/z

The answer is 2/z

Hope this helps!

What is the surface area of the cylinder shown? Use 3.14 for pie. 4cm for the Radius, and 9cm for the height.

Answers

Answer:

326.73cm²

Step-by-step explanation:

=

2

π

r

h

2

π

r

2

=

2

π

4

9

2

π

4

2

326.72564cm²

CAN SOMEONE HELP ME WITH THE ONE THAT SAYS 5 PLSS

Answers

Answer:

x = - 1, x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

3x² + 2x - 1 ( to find the zeros, equate to zero )

3x² + 2x - 1 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 1 = - 3 and sum = + 2

The factors are + 3 and - 1

Use these factors to split the x- term

3x² + 3x - x - 1 = 0 ( factor first/second and third/fourth terms )

3x(x + 1) - 1 (x + 1) = 0 ← factor out (x + 1) from each term

(x + 1)(3x - 1) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]

Answer:

x= 1/3, -1

Step-by-step explanation:

So you can solve this via graphing or solving, I will show both. By solving first you factor the equation and set it equal to 0 (this is because for x intercept y=0)

0 = (3x-1) (x+1)

Use math to solve for x,

3x-1=0

3x=1

x=1/3

(not sure if your teacher wants 1/3 as decimal or fraction, if decimal then use 0.333 in place of 1/3)

x+1=0

x= -1

As far as graphing, just plug the equation in Desmos and wherever the graph cross the x axis is where y values are 0 (which are the x intercepts) and you get the same value.

Simplify for ez quick points!

Answers

Answer: 64

Step-by-step explanation: 4x4x4=64

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4}^3[/tex]

[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]

[tex]\large\text{= 16}\times\large\text{4}[/tex]

[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Here's your question most important and definatily come in your exam...​

Answers

Answer:

11 - 6√3

Step-by-step explanation:

Given the expression;

5+2√3/7+4√3

Rationalize

5+2√3/7+4√3 * 7-4√3/7-4√3

= 35 - 20√3+14√3 - 24/49 - 16(3)

= 35 - 20√3+14√3 - 24/49 - 48

= 35 - 20√3+14√3 - 24

= 35 - 6√3- 24

= 35 - 24 -  6√3

= 11 - 6√3

This gives the required solution

What is the value of x in the diagram?
у
X
X-20

Answers

Answer:

y= 35⁰

x = 55⁰

Step-by-step explanation:

total angle of triangle is 180⁰

therefore we can equate:

x + (x-20) + 90 = 180

2x + 70 = 180

x = 55⁰

total of x and y is equal to 90⁰ since it is a right angle;

x + y = 90

x = 55⁰

55⁰ + y = 90

y = 35⁰

Find the Area of the figure below, composed of a rectangle and two
semicircles. Round to the nearest tenths place.
13
10

Answers

Answer:

[tex] 208.5 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.

[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]

A basketball has a diameter of 9.40in find the volume of the basketball

Answers

Answer:

Volume = 434.89

Step-by-step explanation:

Answer.

Answer:

Half of 9.4 is 4.7

4.7^3(radius cubed) = 103.823

103.823 x 3.14(pi) = 326.00422

326.00422 x 4/3 = 434.672293333 rounded = 434.67

Step-by-step explanation:

Volume Of Sphere Formula:

4/3 x pi(3.14 or 22/7 OR ANY NUMBER depending on what they tell you to use for pi) x radius(half of your diameter or given radius)^3(cubed, to the power of 3)

4/3 x pi x radius cubed

What is the value of B for the following triangular prism?



120 cm 2
60 cm 2
5 cm 2
2.5 cm 2

Answers

Step-by-step explanation:

[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]

For the linear function f(x) = -2x+1 , find the following
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.

Answers

Given:

The function is:

[tex]f(x)=-2x+1[/tex]

To find:

a. Slope and Y-intercept.

b. Is the function increasing, decreasing, or constant, justify your answer.

c. Graph the function, label x, and y-intercepts.

Solution:

a. We have,

[tex]f(x)=-2x+1[/tex]                  ...(i)

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                    ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

[tex]m=-2,b=1[/tex]

Therefore, the slope of the line is -2 and the y-intercept is 1.

b. If the slope of a linear function is negative, then the function is decreasing.

If the slope of a linear function is positive, then the function is increasing.

If the slope of a linear function is 0, then the function is constant.

The slope of the linear function is negative.

Therefore, the function is decreasing.

c. We have,

[tex]f(x)=-2x+1[/tex]

At [tex]x=0[/tex], we get

[tex]f(0)=-2(0)+1[/tex]

[tex]f(0)=1[/tex]

So, the y-intercept is at (0,1).

At [tex]f(x)=0[/tex], we get

[tex]0=-2x+1[/tex]

[tex]2x=1[/tex]

[tex]x=\dfrac{1}{2}[/tex]

[tex]x=0.5[/tex]

So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].

Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:

The sum of two numbers is 90. Their difference is 18. Find
the numbers.

Answers

Answer:

36 & 54

Step-by-step explanation:

By Question :-

Sum of numbers = 90 .Difference of numbers = 18 .

Let :-

First Number be x .Second number be y .

According to 1st condition :-

[tex]: \implies[/tex] x + y = 90

According to 2nd condition :-

[tex]: \implies[/tex] x - y = 18

Adding the equations :-

[tex]: \implies[/tex] 2x = 18 + 90

[tex]: \implies[/tex] 2x = 108

[tex]: \implies[/tex] x = 54

Therefore :-

[tex]: \implies[/tex] First number = 54

[tex]: \implies[/tex] Second number = 36

Answer:

6 x 15

Step-by-step explanation:

brainliest

plszpzlzlzlzlzz

What is the yintercept of the line given by the equation y = 3x + 4???? !!!!

Answers

Answer:

Step-by-step explanation:

y = 3x+4

Let x = 0 to find the y intercept

y = 3*0+4

y =4

The y intercept is 4

Answer:

4

Step-by-step explanation:

Slope equation: y=mx+b

m=slope

x=rate of change

b=y-intercept

If this helps please mark as brainliest

hey! i’ll give brainliest please help

Answers

Answer:

I would assume it to be the second option, or B.

'The bogs the moose lived in became so soggy that only moose with the largest feet could successfully walk on the bog'

Step-by-step explanation:

Answer:

Second one

Step-by-step explanation:

It best explains why moose developed larger feet.

S = {x | x is a multiple of 4 and 9 ≤ x < 37}
Which set is equivalent to S?

A) {8, 12, 16, 20, ...}
B) {8, 12, 16, ..., 36}
C) {9, 12, 16, ..., 37}
D) {12, 16, 20, 24, ...}
E) {12, 16, 20, ..., 36}

PLEASE HELP RNNNN

Answers

Answer: the answer is either e or d but I guessed d

Step-by-step explanation:

The equivalent set to set S will be {12, 16, 20, ..., 36} thus, option (E) is correct.

What is a set?

A set is a collection of distinct values where each variable's meaning must be the same.

For instance, the set of natural numbers 1, 2, 3, 4, 5, and 6 is made up of variables that each represent a different natural number.

As per the given,

x is the multiple of 4,

4,8,12..

But is it restricted in the domain as, 9 ≤ x < 37

Thus, {12, 16, 20, ..., 36} will be correct.

Hence "The equivalent set to set S will be {12, 16, 20, ..., 36}".

To learn more about the sets,

brainly.com/question/8053622

#SPJ2

The diagram shows different forms of thermal energy transfer.
What do the flames below the pot represent?

Answers

Is there a picture of the diagram ?

THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True or false

Answers

Answer:

your question is that true

Step-by-step explanation:

my answer is false

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, where x is a positive number, what is the value of x?

Answers

Answer:

If the perimeter of a square is 28 inches and the area of the square is (x2 + 4x + 4) square inches, and x is a both a real and a positive number, then the value of x must be 5.

Step-by-step explanation:

All sides of a square are equal length.

The area of a square is the side length squared.

perimeter p, side length s, area a, and variable x.

p = 28.   s = ?   a = x^2 + 4x + 4.   x = ?

p = 28

p = 4s.

28 = 4s.

7 = s.

a = s^2.

s = 7.

a = 7^2.

a = 49.

a = x^2 + 4x + 4.

a = 49.

x^2 + 4x + 4 = 49.

factor x^2 + 4x + 4.

(x+2)(x+2) = 49.

(x+2)^2 = 49.

√ ((x+2)^2) = √49.

take positive answer.

x+2 = 7

x = 5.

mr.lewis shared 3/4 of a loaf of bread equally aming her children what fraction of the whole loaf would 4 of her children recieve in total

Answers

Answer:

3/16 or in decimal 0.1875

Step-by-step explanation:

1/2 (n + 4) = 6 whats n?

Answers

Answer:

n=8

Step-by-step explanation:

1/2 (n + 4) = 6

n+4=12

n=8

Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? 2y - 12 2(y -12) 2ly +12) 2y + 12 Save and Exit Next Mark this and return

Answers

Answer:

The expression is 2 y - 1 2

Step-by-step explanation:

two times the quantity of a number minus 12

Let the number of y.

Two times a number is  2 y

Now minus 12

So, the expression is

2 y - 12

which of the following statements is not always true?

a + (-b ) = -b + a

(a + b) + (-c) = a + [b + (-c)]

-(-a) = a

a - (-b) = (-b) -a

Answers

Step-by-step explanation:

The answer is a - (-b) = (-b) - a

for example if we take;

a = 4

b = 2

c = 2

and we replace;

4 - ( -2) = (-2) - 4

6 = -6

which is not true....

All the remaining are true....

even u can just use the values of abc and check if its true....

help me plsss :( math

Answers

The two diagonal lines cross at the center point so each section of the lines are identical:

3x + 3 = 4x -4

Add 4 to both sides:

3x + 7 = 4x

Subtract 3x from both sides:

X = 7

The answer is x = 7

Answer:

x = 7

Step-by-step explanation:

KU = UM

as the center of a rectangle bisects the diagonal

3x + 3 = 4x - 4

7 = x

x = 7

What is the surface area of a cone with a 6 in. diameter and a length (slant height) of 8 in?
A. 11in^2
B. 75in^2
C. 104in^2
D. 179in^2

Answers

Answer:

The formula of a surface area of a cone:

SA=pi rl+\pi r^2SA=pirl+πr

2

r - radius

l - slant height

We have the diameter d = 6 in and a slant height l = 8 in.

d=2r\to r=6in:2=3ind=2r→r=6in:2=3in

Substitute:

SA=\pi(3)(8)+\pi(3^2)=24\pi+9\pi=\boxed{33\pi\ in^2}SA=π(3)(8)+π(3

2

)=24π+9π=

33π in

2

Answer:

Hello there,

So the answer is C,

The real result is approximately 103,53 and by rounding up the result to the nearest inch, we find C!

PLEASE MAKE SURE TO GIVE ME BRAINLIEST THX <3

find the volume of the cone

Answers

Answer:

[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} [/tex]

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