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

Please, I am begging. I don't understand inverses.

Answers

Answer:

0

9

-2

-23

Step-by-step explanation:

a function f(x) defines a y-value for any valid x-value.

that's why it is often written as y = f(x).

the inverse function of an original function just turns the question upside down.

now we want to see for a given y-value of the original function, what was the original x-value to get this y.

therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.

so, in our example

f(x) = y = -4x - 3

4x + y = -3

4x = -y - 3

x = (-y - 3) / 4

in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".

so, the inverse function is therefore as a function of x

y = (-x - 3) / 4

for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0

when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.

so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.

for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2

for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.

f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.

Help find x and angle BEC

Answers

Answer:

x = 32 and BEC = 43

Step-by-step explanation:

3X + 41 = 137

3X = 96

X = 32

FOR BEC:

137 + 137 = 274

360-274=86 ( ANGLES AROUND A POINT ADD UP TO 360)

86/2 = 43

BEC/AED = 43 ( VERTICALLY OPPOSITE ANGLES ARE EQUAL)

hope this helps good luck!

X=32 BEC=43
Have a nice day or night!

43%×64%÷3+86×18=what?

Answers

Answer:

1548.09173333

Answer:

43%×64%÷3+86×18=

1548.09173333

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

The table shows ordered pairs of the function . What is the value of y when ?

Answers

the value of y is equal negative

Simplify by factorising first

Answers

Answer:

x+8

Step-by-step explanation:

Simplify the numerator

list the factors of 16

16: 1, 2, 4, 8, 16

look for two factors that add up to the b value

in this case it is 18

by looking at the factors 2 and 8 add up 10

so you can rewrite the numerator as [tex]x^{2}+2x+8x+16[/tex]

Split the trinomial into two separate binomials each having one of the factors that add up to 10

So it should be [tex]x^{2} +2x and 8x+16[/tex]

Factor both binomials

you can factor an x from the first one

Then it is x(x+2)

Factor an 8 from the second one

8(x+2)

So it should be [tex]x(x+2) 8(x+2)[/tex]

This can rewritten as (x+8)(x+2)

So now you have [tex]\frac{(x+2)(x+8)}{x+2)}[/tex]

simplify it by canceling out the two (x+2)'s

this is because (x+2)/(x+2) is 1

Finally you get x+8

Có 10 bạn mua cùng một loại vở hết tất ả 60 000 tính giá tiền của mỗi quyển vở biết rằng mỗi bạn mua 2 quyển vở

Answers

Answer:

Giá một cuốn sách là $ 1000

Step-by-step explanation:

Được

Tổng chi phí sách = 60000

Tổng số bạn bè = 10

Sách do mỗi người bạn mua = 2

Như vậy, tổng số sách mua của cả 10 bạn = 10 * 2 = 20

Giá của một cuốn sách = Tổng giá / tổng số sách đã mua

Giá một cuốn sách = 20000/20 = 1000

Giá một cuốn sách là $ 1000

Solve the system by substitution.
— бу = x
x + y = -30

Answers

Step-by-step explanation:

-6y + y=-30

-5y = -30

y=6

x=-6 ×6= -36

At a certain time of day, a 9.5 meter flagpole casts an 28.5 meter shadow. At the same time of day, a neighboring tree casts a shadow that is 24 meters long. How tall is the tree?
a 14,67m
b 8m
c, 72m
d, 40m​

Answers

Answer:

I think its c

Step-by-step explanation:

help asap please thanks

Answers

-pi/4 is the same thing as 7pi/4.

The sine function will get us the y-value we need.

Keep in mind that our y-value will be negative (based on the position of the line), and pi/4 and 3pi/4 will both have positive y-values.

Therefore, the correct expression is sin(7pi/4).

Hope this helps!! :)


2. What is the mode for the data set 13, 11, 10, 12, 14, 9,
11, 8, 11?
A.10
B. 11
C. 12
D. none of the above

Answers

Answer:

11

Step-by-step explanation:

mode is the number that is most frequent

11

Answer:

11

Step-by-step explanation:

Mode means the highest repeated observation in the data set,

Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set

What is the first step in solving quadratic equations by finding square roots? a. give the positive and negative answer c. square root both sides to isolate x b. isolate the x squared by using inverse operations d. none of these Please select the best answer from the choices provided A B C D

Answers

Answer:

C: isolate the x squared by using inverse operations

Step-by-step explanation:

This method of solving quadratic equation is used when there is only x² term and no x term. Thus;

For example, we have a quadratic equation;

x² - 1 = 80

To solve this by square root method, the first step we have to take is to isolate the x² term by inverse operation which is by addition of 1 to both sides to get rid of the -1 on the left side so that x² can be isolated.

in a school all students play either football ir volleyball 300 play football 250 play volleyball and 110 play both the game . draw a venn diagram to find the number of students who play football only. the number of students who play volleyball only. the total number of students of the school​

Answers

Step-by-step explanation:

It will help you !!!!!!!!!!

Answer:

my answer is 660

Step-by-step explanation:

300+250+110=660

need help with this Q&A 3

Answers

Answer:

the second option

yes, because they are similar triangles

Step-by-step explanation:

the scaling factor is 3

3×3 = 9

3×7 = 21

so, the ratios of the sides remain the same, and the 90 degree angle remains the same. therefore, just one triangle is larger than the other, but the relative attributes and even the orientation are the same, so yes, since we don't know the absolute coordinates of the corners, indeed, the Hypotenuse of both triangles could be on the same line.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___

A. 92, 66, 28

B. 1024, 2048, 4096

C. 64, 32, 16

D. 32, 8, 2

Answers

Answer:

C. 64, 32, 16

Step-by-step explanation:

This geometric sequence is made by dividing the numbers by 2:

512 ÷ 2 = 256

256 ÷ 2 = 128

Hence, the next term will be

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

Therefore, the correct answer is C.

The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.

What is geometrical series?

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,

Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2

Now, the nth term of the given sequence can be defined as,

aₙ = a₁ × r⁽ⁿ⁻¹⁾

   = 512 × (1/2)⁽ⁿ⁻¹⁾

Therefore, the next term of the given geometric progression will be,

a₄ = 512 × (1/2)³ = 64

a₅ = 512 × (1/2)⁴ = 32

a⁶ = 512 × (1/2)⁵ = 16

Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.

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If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.

Answers

Answer:

q = 55

Step-by-step explanation:

      [tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]

Find q when p = 2

   [tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]

Please help I’ll give brainliest

Answers

Answer:  A, 4^4

Step-by-step explanation:

4^7/4^3 = 4^4

Answer:

[tex]4^{4}[/tex]

Step-by-step explanation:

Rewrite the division as a fraction.

[tex]\frac{4^{7} }{4^{3} }[/tex]

Cancel the common factors.

[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]

[tex]4^{4}[/tex]

Hope this helps!

Reach out to me if you need more help with these types of problems.

Alaina has $28 in her account .she wants to purchase a pair of shoes that costs $45 .if alaina makes the purchase which integer will represent the amount of money in alaina account?

Answers

--Answer--

negative integer

--Explanation--

28 - 45 = -17; the number subtracting is greater than the original number.

Can someone help me? It's urgent and thank you!

Answers

Answer:

x = -9, 3

Step-by-step explanation:

you cross multiply

Answer:

 [tex]x=-9[/tex] or [tex]x=3[/tex]

Step-by-step explanation:

Cross multiply:

[tex]3/x+6=x/9\\\\\\(3) * (9)=x*(x+6)\\\\\\27=x^{2} +6x[/tex]

Subtract x^2 +6x from both sides:

[tex]27-(x^{2}+6x )=x^{2} +6x-(x^{2} +6x)\\\\\\-x^{2} -6x+27=0[/tex]

Factor left side of the equation:

[tex](-x+3)(x+9)=0[/tex]

Set factors equal to 0:

[tex]-x+3=0[/tex] or [tex]x+9=0[/tex]

Therefore, [tex]x=3[/tex] or [tex]x=-9[/tex]

hope this helps.....

will someone help me on this please i really need this

Answers

Answer:

2.24

Step-by-step explanation:

the total surface area=

(3+10+5+10+6)×(20) + (2×3×24) + (2×½×(14+10)×3)

= 680 + 144 + 72

= 896 ft²

the paint will be needed at least :

896/400 × 1 gallon = 2.24 gallons

I need somebody to help this due in 25 minutes

Answers

Answer:

line n

Step-by-step explanation:

Line n goes through points A and G on the diagram.

What is the equation of the following line written in general form? (The y-intercept is 7.)
y
(-2.1)

Answers

Answer:

[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer and Step-by-step explanation:

All triangles have a sum of their angles to be 180 degrees. So, to find x, we need to subtract the two given sides from 180 degrees.

180 - 38 - 83 = 59

x = 59 degrees.

#teamtrees #PAW (Plant And Water)

Answer: 59

Step by step explanation:

What is 700,000+900+60+7 in standard form

Answers

Step-by-step explanation:

here is the answer for your question

The standard form is 700,967

You travel about 1.3x10^4 miles per year in your Toyota Camry, which gets 28 miles per gallon of gasoline. The combustion of gasoline emits 2.42 kg C per gallon. Based on this information, calculate the carbon footprint of your transporation.

Answers

Answer:

1123.5714 kg C

Step-by-step explanation:

Given :

Miles traveled = 1.3 * 10^4 miles

Miles per gallon = 28 miles per Gallon

Carbon footprint per gallon = 2.42 kg C per gallon

The total gallons of gasoline used over the course of the year :

Total miles traveled / miles per gallon

1.3 * 10^4 / 28 = 464.28571 gallons

Carbon footprint per gallon = 2.42 kg C

Total carbon footprint of transportation :

2.42 kg C per gallon * 464.28571 gallons

= 1123.5714 kg C

Can someone answer this plz

Answers

Answer:

[tex]A^{I}[/tex]= (7, -1)

Step-by-step explanation:

Rotation is a method of rigid transformation in which a point is moved about a reference point through a stated angle. The rotation could be clockwise or counterclockwise so as to produce the image of the initial object.

In the polar coordinate given, the coordinate of A is given as;

A = (3, 3)

On rotating point A about point C counterclockwise for [tex]270^{o}[/tex], an image [tex]A^{I}[/tex] would be produced.  

But [tex]A^{I}[/tex] would have a coordinate;

[tex]A^{I}[/tex]= (7, -1)

The image of A produced is [tex]A^{I}[/tex] (7, -1).

Please please help me please please help

Answers

Answer:

D

Step-by-step explanation:

Total ribbon left is 28 1/3 - 10 2/3= 86/3-32/3=54/3=18

Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?

Answers

Answer:

C: tan 60 = √3

Step-by-step explanation:

Let the adjacent part of the triangle be x and let the opposite side be y.

Thus, from trigonometric ratios;

x/10 = cos 60

We are given cos 60 = ½

Thus;

x/10 = ½

x = ½ × 10

x = 5

Similarly;

y/10 = sin 60

Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;

y/10 = cos 30

We are given cos 30 = (√3)/2

Thus;

y/10 = (√3)/2

y = 10 × (√3)/2

y = 5√3

Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.

Thus;

5/(5√3) = tan 30°

1/√3 = tan 30

Similarly;

5/10 = sin 60°

sin 60° = ½

Also;

tan 60 = (5√3)/5

tan 60 = √3

Also;

sin 30 = 5/10

sin 30 = ½

Looking at the options, the only correct one is Option C

A roll of nickels is worth $2.00. Write and
solve an equation to determine the number
of nickels in a roll.

Answers

Answer: 20 nickels to make $2.00

Step-by-step explanation:

Answer:

5x = 200

x=40

Step-by-step explanation:

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 1 4 -1
4 -1 -2 -6 3-5
-8

Answers

Answer: if its decimal and it wants you to round to next place to the tenths place

Step-by-step explanation: if it means to look at the hundredth's place to find your answer  if its bigger than five your second number will add up if its lower than five it stays the same

6÷8 using long division

Answers

Given:

The expression is:

[tex]6\div 8[/tex]

To find:

The value of the given expression by using the long division method.

Solution:

We have,

[tex]6\div 8[/tex]

Here, dividend is 6 and divisor is 8.

Since 6<8, therefore we will use the decimal in dividend and quotient as shown below:

[tex]\underline{\quad 8\quad}|\overline{\quad 6.00\quad }|\underline{\quad 0.75\quad }[/tex]

         [tex]\underline{\quad 56\quad }[/tex]

               [tex]40[/tex]                  (After subtraction)

           [tex]\underline{\quad 40\quad }[/tex]

             [tex]\underline{\quad 0\quad }[/tex]               (After subtraction)

Therefore, the value of the given expression is 0.75.

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