A line passes through (-3, -1) and is parallel to the graph of y= 2x +3. What equation represents the
line in slope-intercept form?


PLEASE HELPPP

Answers

Answer 1

Answer:

y = 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, so

y = 2x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = 2x + 5 ← equation of parallel line

Answer 2

The Equation of line is y = 2x + 5.

What is slope of a line?

The ratio of a line's change in y coordinate to its change in x coordinate is known as its slope.

Both the net change in the x-coordinate  is Δx and the net change in the y-coordinate are represented by Δy.

Given Equation

y = 2x + 3

and line passes through (-3, -1)

equation of line is given by,

y =mx + c

where m is slope,  given equation is parallel to graph the value of slope is equal for both

m = 2 from given equation

new equation is y = 2x + c

substitute values of x and y

-1 = 2(-3) + c

c = -1 + 6

c = 5

Equation of line is y = 2x + 5

Therefore the equation represents,

the line in slope-intercept form is y = 2x + 5

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Related Questions

POSSIBLE POLYGONS Determine if it is possible for a regular polygon to have an interior angle with the given angle measure. Explain your reasoning a. 165 b. 171 c. 75 d. 40​

Answers

Answer:

yes for all 4.

Step-by-step explanation:

I am not sure I see the whole information.

but if the question truly is simply, whether a polygon can have an internal angle of 165 or 171 or 75 or 40 degrees, then the answer is a resounding yes to all 4.

the simplest polygon is a triangle.

the sum of all angles in a triangle is always 180 degrees.

so, any angle smaller than 180 degrees is a possible internal angle in a triangle (and therefore in polygons in general), because the difference to 180 can then be split into 2 angles (e.g. half/half).

so, if one angle is 165 degrees, then the other two angles have to have 15 degrees together (e.g. 10 and 5, or 7 and 8, or 2 and 13, or ...). they will be narrow angles, but they are still angles.

similar for 171 degrees. now the other two angles have to have only 9 degrees together. like 5 and 4.

for 75 degrees the other two angles must have 180-75 = 105 degrees together. like 20 and 85.

for 40 degrees the other two angles must have 180-40 = 140 degrees together. like 90 and 50.

a. 145
b.35
c.135
d.45

Answers

Answer:

a.) 145°

Step-by-step explanation:

First, we need to understand that ∠5 = ∠4 because they are alternate interior angles, therefore, ∠5 = 35°. Then since ∠5 and ∠6 are supplementary angles, we know that ∠5 + ∠6 = 180°, therefore ∠6 = 180° - ∠5 = 180° - 35° = 145°. Now we need to understand that ∠6 and ∠7 are vertical angles, therefore they are equal to each other, so now we know that the right answer is a.) ∠7 = 145°.

Which expression is the same as 1 ten, 3 ones, and 9 thousandths?
Choose 1 answer:

Answers

Answer:

"B"

Step-by-step explanation:

what is the area of a rectangle with side lengths 3 inches by 5 inches​

Answers

Answer:

15 inches

Step-by-step explanation:

The formula for the area of a rectangle is base times height so 3*5 which equals 15

Enter the equation of the line in slope-intercept form.
Slope is -5, and (7,4) is on the line.
The equation of the line is

Answers

Answer:

[tex]y=-5x+39[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

[tex]y=mx+b[/tex]

Plug in the slope -5

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-5x+b[/tex]

Plug in the given point (7,4) and solve for b

[tex]4=-5(7)+b\\4=-35+b[/tex]

Add 35 to both sides to isolate b

[tex]4+35=-35+b+35\\39=b[/tex]

Therefore, the y-intercept is 39. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+39[/tex]

I hope this helps!

A school raises £468 for their chosen charity by dressing up.Tge money raised is increased by 42% by holding a cake sale.The headtheacher makes up the total sum to £700.How much does the headteacher donate?​

Answers

Answer:

35.44

Step-by-step explanation:

(1 +.42)*468 = 664.56

if you add 35.44 you would have 700

Please help. I completely forgot what to do ahh. If anyone knows, please let me know :(

Answers

Since they’re outside corresponding angles you can just set the 2 equations up to each other and solve for x.

5x + 20 = 3x + 60
-3x -20
2x = 40
x=2

I need this rn can someone pls help me

Answers

Answer:

[tex]V=2080m^3[/tex]

Step-by-step explanation:

The volume formula for triangular prism is  [tex]V=\frac{1}{2}bhl[/tex]

[tex]V=\frac{1}{2}(26)(20)(8)[/tex]

[tex]V=\frac{1}{2}(4160)[/tex]

[tex]V=2080[/tex]

Hope this helps

Answer:

The answer is 2080m^3

Step-by-step explanation:

The formula for volume of a prism is 1/2 x length x width x height

Hope it helps :)

A rectangle has a perimeter of `52` cm. Its width is `9` cm.

what is the length of the rectangle

Answers

Answer:

The length is 17 cm.

17+17+9+9 adds up to 52.

Which sequence is arithmetic?

Answers

5,16,27,38 is the answer

parallel lines
EF and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD

Answers

Answer:

[tex]{ \tt{AB || CD}} \: \: they \: are \: parallel. \\ { \tt{AB \:and \: EF}} \: \: are \: perpendicular \\ { \tt{CD \: and \: EF}} \: \: are \: perpendicular \\ { \tt{GH \: is \: neither \: parallel \: nor \: perpendicular \: to \: any \: other \: line}}[/tex]

help me plss if you see this help i have a short time or this for will close

Answers

Answer:

Value of x will be 12.

Step-by-step explanation:

can someone please help

Answers

Answer:

x = 13

Step-by-step explanation:

→ Remember the amount of degrees a triangle sums to

180°

→ Make an equation

8x - 44 + 8x - 44 + 8x - 44 = 180

→ Simplify

24x - 132 = 180

→ Add 132 to both sides

24x = 312

→ Divide both sides by 24

x = 13

Two linear equations have the same y-intercept and different slopes. How would you
classify the system?

Answers

We can classify the system by seeing if it’s consistent and independent. So that’s how you would classify the system.


Hopefully this helps!

The slope of a function determines the consistency in the functions.

What is the slope of the function?

The slope of the function is the change in y /change in x .

How would you classify the system?

The slope of the function determines the change in the value of the function. It determines the consistency of the function. If the slope of the function is changing rapidly then it is said to be inconsistent but if the slopes of the function is not changing rapidly then it is said to be consistent.

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find the value of the angle rounded to 1 DP

Answers

Answer:

57.2°

Step-by-step explanation:

sin 26° = x/19

x = 8.329051789

[tex]sin^{-1}[/tex] (7 / 8.329051789)

Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6.

Describe in detail (using formulas and/or specific steps needed) TWO ways to find the maximum height reached by the ball.

Answers

Answer:

1) find the verted of the parabols

[-b/2a, f(-b/2a)]

-32/-32 = 1  .... -16+32+6 = 22

2) take the derivative and set = to 0

-32t+32 = 0

t = 1 .....height = 22

Step-by-step explanation:

PLEASE HELP ASAP ILL MARK BRAINLIEST.!!!

i only need these 2 and I’m done with math.!!!

Answers

Answer:

663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V =  

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in  gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

       3 m = 300 cm

       2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers

11. Find the area of each figure. Show all your calculations a. 3 cm 13 cm

Answers

Answer:

[tex]39[/tex]

Step-by-step explanation:

[tex]A=lw[/tex]

Area = length * width

[tex]A = 3 * 13[/tex]

[tex]A=39[/tex]

Hope this helps

There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?

Answers

Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of distinct numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?

Answers

Answer:

384 words per day

Step-by-step explanation:

If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.

Answer:

384 words per day

Step-by-step explanation:

3000-696=2304

So 2304 divided by 6 =348

Solve for x. Enter your answer below as a fraction in lowest terms, using the
slash (/) as the fraction bar.
x + 9/20 = 9/16

Answers

Answer:

x = [tex]\frac{9}{80}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{9}{20}[/tex] = [tex]\frac{9}{16}[/tex]

Multiply through by 80 ( the LCM of 20 and 16 ) to clear the fractions

80x + 36 = 45 ( subtract 36 from both sides )

80x = 9 ( divide both sides by 80 )

x = [tex]\frac{9}{80}[/tex]

A room has a length of 12 metres and width of 5 metres. What is the area of the room?
Working out please

Answers

Answer:

60 sq.m

Step-by-step explanation:

Given,

Length of the room = 12m

Width of the room = 5m

Therefore,

Area of the room = l × w

= 12m × 5m

= 60 sq.m (Ans)

Country Day's scholarship fund receives a gift of $ 185000. The money is invested in stocks, bonds, and CDs. CDs pay 4.75 % interest, bonds pay 3.3 % interest, and stocks pay 7.5 % interest. Country day invests $ 20000 more in bonds than in CDs. If the annual income from the investments is $ 9560 , how much was invested in each vehicle?

Answers

Answer:

$65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Step-by-step explanation:

Since Country Day's scholarship fund receives a gift of $ 185000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.75% interest, bonds pay 3.3% interest, and stocks pay 7.5% interest, and Country day invests $ 20000 more in bonds than in CDs, if the annual income from the investments is $ 9560, to determine how much was invested in each vehicle, the following calculation must be performed:

55000 x 0.075 + 55000 x 0.0475 + 75000 x 0.033 = 9,212.5

57000 x 0.075 + 54000 x 0.0475 + 74000 x 0.033 = 9,282

65000 x 0.075 + 50000 x 0.0475 + 70000 x 0.033 = 9,560

Therefore, $ 65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.


A. Y SO
OB. X30
C. All real numbers
D.x20

CAN SOMEBODY PLEASE HELP!!

Answers

May be , C but not sure.

PLEASE HELP
How many different outcomes are possible when 10 people race, assuming no one can tie?

Answers

There are 10 possible outcomes because 1 can win if there are no ties.

The number of the outcomes will be 10 if there is not any tie.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

Here we need to find the outcomes of the winning of 10 people the combination will be:-

[tex]^{10} C _1=\dfrac{10!}{(10-1)!}=\dfrac{10!}{9!}\\\\\\^{10} C _1 = 10[/tex]

Hence the number of the outcomes will be 10 if there is not any tie.

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solve the system below by substitution. write the solution as a coordinate pair.

y = x + 3
y = - 1/2x + 9

PLEASE SHOW YOUR WORK!!!!!!
GIVING BRAINIEST TO WHOEVER ANSWERS THIS AND SHOWS THERE WORK!!!

Answers

Answer:

x = 4      y = 7

Step-by-step explanation:

x + 3 = -1/2x + 9

x = -1/2x + 6

3/2x = 6

x = 4

y = (4) + 3

y = 7

How do you solve this??

Answers

Answer:

[tex]a_n=-\frac{9}{4} +\frac{1}{4} *n; \ a_{45}=9.[/tex]

Step-by-step explanation:

1. the difference between two sequent term is: 2- 7/4=7/4 - 3/2 = 3/2 - 5/4=... = 1/4.

2. using the value of the calculated difference it is possible to make up the formula of the given sequence ('n' - the number of term):

[tex]a_n=-\frac{9}{4}+\frac{1}{4} n.[/tex]

3. for n=45:

[tex]a_{45}=-\frac{9}{4}+45*\frac{1}{4}=9.[/tex]

First, find the surface area of the yellow prism

Answers

Check the picture below.  Notice, we're skipping the bottom part of it.

[tex]\begin{array}{llll} front&4\cdot 3&=&12\\ back&4\cdot 3&=&12\\ right&3\cdot 4&=&12\\ left&3\cdot 4&=&12\\ top&3\cdot 3&=&9\\ \cline{1-4} total&&&57 \end{array}[/tex]

Which list of numbers can be described by the following rule?



A. 33,49,67


B.65,49,33

C.33,49,65

D.65,48,33

Answers

Answer: Choice C

Explanation:

first term = 33

second term = first term + 16 = 33+16 = 49

third term = second term + 16 = 49+16 = 65

We're adding 16 to each term to get the next term.

Answer:

c is correct

mark as brainiest please

which is the value of x in the equation-3/4 = x/24 A. -32 B. -18 C. 18 D. 32​

Answers

Answer:

-18 =x

Step-by-step explanation:

-3/4 = x/24

Using cross products

-3*24 = 4*x

-72 = 4x

Divide each side by 4

-72/4 = 4x/4

-18 =x

Answer:

B. -18

Step-by-step explanation:

-3/4 = x / 24

solve the proportion using cross multiplication

-3 × 24 = 4 × x-72 = 4x

swap the side

4x = -72

divide both side by 4

4x / 4 = -72/4x = - 18
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