Write an equation of the line that passes through (2,−5) and is parallel to the line 2y=3x+10

Answers

Answer 1

Step-by-step explanation:

Divide two on both sides to get rid of it and the make the equation in the form y = mx + c

[tex] \frac{2}{2} y = \frac{3}{2} x + \frac{10}{2} [/tex]

y = 3/2x + 5

since both lines are parallel they must have the same gradient which is 3/2

y = 3/2x + c

All you have to do now is to replace x and y with (2, -5) to find c

x = 2

y = -5

-5 = 3/2 × 2 + c

-5 = 3 + c

c = -5-3

c = -8

[tex]y = \frac{3}{2} x - 8[/tex]


Related Questions

is 0 a composite or prime number?

Answers

Answer: Prime number.

Step-by-step explanation: Hopefully this helped you ;)

Answer:

prime....

Step-by-step explanation:

the sum of two fractions is 9 1^4 their difference is 3 1^8, what are the two fractions?​

Answers

Answer:

[tex]6\frac{3}{16}~,~3\frac{1}{16}[/tex]

Step-by-step explanation:

let the fractions be x and y,then

[tex]x+y=9\frac{1}{4}=\frac{37}{4}=\frac{74}{8}\\x-y=3\frac{1}{8}=\frac{25}{8}\\adding\\2x=\frac{74}{8}+\frac{25}{8}=\frac{99}{8}\\x=\frac{99}{16}=6\frac{3}{16}\\again ~subtracting\\2y=\frac{74}{8}-\frac{25}{8}=\frac{49}{8}\\y=\frac{49}{16}=3\frac{1}{16}\\[/tex]

Find the Slope

A. 2/5
B.5/2
C.-2/5
D.-5/2

Answers

The answer is a bc it’s pointing upwards which makes it positive and the rise is 5 and the run making it 2/5
2/5 because it’s pointing up wards np

Use the vertical line test to determine whether or not the graph is a graph of a function.

Answers

answer: yes
explanation:
well if you used the vertical line test, then you would know this is a function because there’s no more than 1 point for each vertical line.
*vertical means up and down*

Factor completely.
-3x^2 +17x -20

Answers

The factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)

How to factor the expression?

The expression is given as:

-3x^2 +17x -20

Expand the expression

-3x^2 +12x + 5x -20

Factorize the expression

-3x(x - 4) + 5(x - 4)

Factor out x - 4

(-3x + 5)(x-4)

Hence, the factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)

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Which expression forms an equation with the given expression?
8 • 7 - 4 =

Answers

The answer is 52 hopefully this help

need help asap at this question so what's the area of the shaded shape ​

Answers

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

Find the slope of the line that passes through the pair of points.
(6, -10) (6, 14)

Answers

Answer: undefined slope

On Monday, Sarah has to meet her friend at the park after school The distance from her house to school is 2x+5 The distance from the school to the park is z If the total distance she was that day is 10x +9 how far is it from the park back to her
house?

Answers

Answer:

8x + 4 - z

Step-by-step explanation:

Given the following :

The distance from her house to school is 2x+5 The distance from the school to the park is z If the total distance she was that day is 10x +9 how far is it from the park back to her

Distance from house to school = 2x + 5

Distance from school to park = z

Total distance covered = 10x + 9

Distance from park to house =?

Total distance = (distance from house to school + distance from school to park + distance from park to house)

Let p = distance from park to house

10x + 9 = (2x + 5 + z + p)

10x + 9 - 2x - 5 - z = p

8x + 4 - z

I need help ASAP please and thank you.

Answers

Answer:

35

Step-by-step explanation:

(-5)(-7) is a multiplication problem, so you would multiply -5 and -7 together to get 35 as two negatives make a positive

What is the missing table value?

4 inches to centimeters
A 2-column table with 4 rows. Column 1 is labeled inches with entries 1, 2, 3, 4. Column 2 is labeled centimeters with entries 2.54, 5.08, 7.62, question mark.

Answers

Answer:

10.16

Step-by-step explanation:

Answer:

10.16

Step-by-step explanation:

I got it right on edg 2020 (:

PLEASE HELP I BEG 70 POINTS
Part A: Explain how to sketch the graph of a curve that opens downwards and has only one x-intercept at (2.5,0).

Part B: Explain how to sketch the graph of a curve that opens upwards where the minimum value of the graph is (0,1).

Part C: Explain how to sketch the graph of a curve with the following characteristics.
• The graph opens downward.
• The y-intercept is (0,6).
The z-intercepts are (-1,0) and (3, 0).
• The maximum value of the function is located at the point (1,8).

Answers

Part A:

If a quadratic has only one x-intercept, then that is where the vertex lies. being that the vertex is the highest or lowest point in the quadratic. To sketch, it will open downwards with a single x-cept

Part B:

The graph will be above the x-axis. And having the vertex being at (0,1) as it says its the minimum value. All the minimum means is that its the lowest value of this given parabola.

Part C:

Plot the points of the y-intercept and z-intercepts. Then plot the maximum value is. Connect the dots.

what is 6.42 x 10^23 in standard notation

Answers

Answer:

642000000000000000000000

Step-by-step explanation:

The sum of 3 consecutive integers equals -3. What are the 3 integers?

Answers

Answer: 0, -1, -2

The sum of three consecutive integers is -3. So, we must find three consecutive numbers that total to -3.

The numbers can be 0, -1, and -2 because these are consecutive numbers.

So, the answer is 0, -1, and -2. Hope this helps you!

Help please I feel dumb

Answers

Answer: I feel dumb too i dont like your teacher already that question is tooooooo complicated sry :(

Step-by-step explanation:

What is the product of the expression (-2.2)(1.5)(-4.2)

Answers

Answer:

13.86

Step-by-step explanation:

(-2.2)(1.5)(-4.2) =

Use a calculator. Start with -2.2 * 1.5.

= (-3.3)(-4.2)

= 13.86

Answer:13.86

Step-by-step explanation:

((−2.2)(1.5))(−4.2)

=(−3.3)(−4.2)

=13.86

4(x + 2) − 2x = 4(x − 3) please show work

Answers

Answer:

x = 20

Step-by-step explanation:

PEMDAS

P = parenthasees

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

this is the order

so first

4x + 8 -2x = 4x - 12

No exponents

no Multiplication

No division

Addition

So for this, we have to subtract the 4x on both sides to get

x + 8 - 2x = -12

then do -8

x - 2x = -20

then

-x = -20

x = 20

Answer:

x=10

Step-by-step explanation:

*The eight is negative and not positive. The answer is x=10

what is 11x11 ????????????????????

Answers

Answer:

121

Step-by-step explanation:

11 x 11

this is what goes on in my head you don't have to this but this is what i do

10 x 10 = 100

10 x 1 = 10

1 x 10 = 10

1 x 1 = 1

100 + 10 + 10 + 1 = 121

The product of the numbers 11 with 11 is 121.

Given are the numbers 11 and 11.

We have to find the product of these numbers.

This can be found in various ways.

We can study the perfect squares from 1 to 20 to know it fast.

Else you can use normal multiplication.

Or another method is,

Split both 11 as 10 and 1 and then find the product with each.

10 × 10 = 100

Then find 10 with 1.

10 × 1 = 10

Then find 1 with 10.

1 × 10 = 10

Then find 1 with 1.

1 × 1 = 1

Total is 100 + 10 + 10 + 1 = 121

Hence the number is 121.

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Find the distance between the points -6.2 and -9.8. Show your work for full credit.

Answers

Answer:

-2

Step-by-step explanation:

From January to June, there are more daylight hours as June approaches.
What is the dependent variable?

Answers

Answer:

The daylight depends on the month so daylight is the dependent and the months are independet

Step-by-step explanation:

what is the ratio of peppers and peas if there is 11 peas and 30 peppers?​

Answers

Answer:

The Ratio would be 11:30

Step-by-step explanation:

peas : 11

Peppers: 30

High Hopes ^^

Barry-

in any type of question like that when it comes to ratio, take the two numbers put them side by side but just put the “:” in front of them

You are a photographer Acustomer wants you to make
a photographic display that is 4.} feet tall by 21 feet
wide. Each photograph is sa inches tall by 3 - inches
wide. The photographs are to be displayed with the
longer dimension vertical and with no overlaps.

How many photographs will fit on the display?

8
9
30
54
72

Answers

8 hope this helped yahwsah

a movie sells tickets for for the cost of 4$ and 6$.there is a total of 75 tickets for a total of 400$,how many tickets were sold

Answers

50 $6 TICKETS WERE SOLD
25 $4 TICKETS WERE SOLD

hope this helped :)

What is the measure of

Answers

Answer: B


Step by step: congruent side

Ian bought a package of gummy bears that contains 4 cups. if he eats 2/3 cup everyday, how many days of candy does he have?

Answers

Answer:

6 days

Step-by-step explanation

2/3 cups x 3 days = 2 cups

2 cups x 2 cups = 4 cups

4 cups = 6 days

Answer:

6

Step-by-step explanation:

1) Get 4 and divide it by 2/3

2) To do this you put the inverse which is 4/1 x 3/2

3) Cross divide, then multiply.

4) (4/1 x 3/2) so 4/2 = 2 which is 2 (and whatever you do to one side, you have to do to the other side) so 2/2 is 1. Then 3/1 = 3 and 1/1 = 1 so it stays same. So now the equation becomes 2/1 x 3/1

5) This means the ones cancel out since in math ones don't have to be seen even though they are there.

6) 2 x 3 = 6

So you get 6

in the expression of (x + 1)^n, the coefficient of the x^3 term is two times the coefficient of the x^2 term. Find the value of n.

Answers

According to Khayyam-Pascal triangle ,

the value of n is 8.

[tex] look \: \\ \\ {(x + 1)}^{8} = {x}^{8} + 8 {x}^{7} + 28 {x}^{6} + 56 {x}^{5} + 70 {x}^{4} + 56 {x}^{3} + 28 {x}^{2} + 8x + 1 \\ \frac{56}{28} = 2 [/tex]

Recall the binomial theorem:

[tex](a+b)^n=\displaystyle\sum_{k=0}^n\binom nk a^k b^{n-k}[/tex]

where

[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]

is the binomial coefficient. So

[tex](x+1)^n=\displaystyle\sum_{k=0}^n\binom nk x^k[/tex]

The x² term occurs for k = 2, which has coefficient

[tex]\dbinom n2=\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2[/tex]

The x³ occurs for k = 3, with coefficient

[tex]\dbinom n3=\dfrac{n!}{3!(n-3)!}=\dfrac{n(n-1)(n-2)}6[/tex]

The latter coefficient is twice the other one, so that

[tex]\dfrac{n(n-1)(n-2)}6=2\cdot\dfrac{n(n-1)}2[/tex]

Solve for n :

[tex]\dfrac{n(n-1)(n-2)}6=n(n-1)[/tex]

[tex]n(n-1)(n-2)=6n(n-1)[/tex]

[tex]n-2=6[/tex]

[tex]\boxed{n=8}[/tex]

The parent function f(x) = x^2 is vertically stretched by a scale factor of 2, translated 14 units right, and 6 units up. Which equation below represents the new equation? 1. G(x) = 2(x-14)^2 + 6 2. G(x) = 1/2 (x-14)^2 = 6 3. G(x) = 2(x-14)^2 - 6 4. G(x) = 2(x+14)^2 + 6

Answers

Answer:

[tex](1)\; G(x)=2(x-14)^2+6[/tex]

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function, [tex]f(x)=x^2[/tex]

Let [tex]f_1(x)[/tex] be the function when the parent function is stretched by a scale factor of 2.

So, [tex]f_1(x)=2f(x)[/tex]

[tex]\Rightarrow f_1(x)=2x^2[/tex]

Let [tex]f_2(x)[/tex] be the function when [tex]f_1(x)[/tex] is translated [tex]14[/tex] units right.

So, [tex]f_2(x)=f_1(x-14)[/tex]

[tex]\Rightarrow f_2(x)=2(x-14)^2[/tex]

Again, let [tex]f_3(x)[/tex] be the function when [tex]f_2(x)[/tex] is translated 4 units up.

So, [tex]f_3(x)=f_2(x)+6[/tex]

[tex]\Rightarrow f_3(x)=2(x-14)^2+6[/tex]

So, the resulting function, [tex]f_3(x)=G(x)=2(x-14)^2+6[/tex].

Hence, option (1) is correct.

Anne buys used cars at auction for 2000 per car if anne buys 13 ised cars how much did she pay in total what would be an equation

Answers

Answer:

26,000

Step-by-step explanation:

$2,000 per car x 13 used cars

I’ll give brainliest

Answers

Answer:

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1 ⇒ D

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negative

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 1)

→ That means b in the equation = 1

∴ The number in the equation is 2

→ Look at the answer we have only one answers have negative slope and

   y-intercept = 1 in the right hand side ⇒ D

∴ The equation of the blue line is represented by the left side -2x + 1

→ That means the equation of the red line is represented by the left side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

∵ The line intersects the y-axis at point (0, -4)

→ That means b in the equation = -4

∴ The number in the equation is -4

→ Only D has a positive slope and y-intercept = -4 in the left side

∴ The equation of the red line is represented by [tex]\frac{1}{2}[/tex] x - 4

The graph of the system of equations solves the equation  [tex]\frac{1}{2}[/tex] x - 4 = -2x + 1

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (2, -3) as the point of intersection of the two lines in the graph

Factor and Solve.
x^4-11x^2+18=0

Answers

Last option is the correct answer

x= √2, −√2, 3, −3

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