Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answers

Answer 1

Answer:

The equation Alejandra should write to represent the new line should be

y-3 = 2(x-10)

Step-by-step explanation:

The equation Alejandra wrote for the line her teacher sketched is

y-3 = 1/5 (x-10).

This can be related to the equation of a line in point slope form. The equation of line in point slope form

is

y - y₁ = m (x - x₁)

Where (x₁, y₁) is a point on line

and m is the slope of the line.

Hence, for the equation Alejandra wrote

The line went through point (3,10) and the slope of the line is 1/5.

Now, from the question

The teacher changed the line so it had a slope of 2, but still went through the same point. That is, the line still went through point (3,10).

In the new line the teacher sketched, the values of x₁ and y₁ remain the same but the value of the slope (m) has changed.

The slope of the new line is 2, that is, m =2.

Therefore,

The equation that represents the new line is

y-3 = 2(x-10)

Hence, the equation Alejandra should write to represent the new line should be y-3 = 2(x-10).


Related Questions

Combine these radicals!

Answers

Answer:

-4√5

Step-by-step explanation:

-√ 5 can be written as -1√ 5.

from there it is simple subtraction of the radicles

-1-3=-4   therefore, -1√ 5 - 3√ 5=- 4√ 5

can this problem be solved?​

Answers

Answer:

The discriminant is -23

The equation has 0 real solution

Step-by-step explanation:

The discriminant of the quadratic equation ax² + b x + c = 0 is Δ = b² - 4ac

If Δ > 0, then the equation has two different real solutionsIf Δ = 0, then the equation has one real solutionIf Δ < 0, then the equation has no real solutions

Let us use the rule above to solve the question

∵ x² - x + 6 = 0

a = 1, b = -1 and c = 6

∵ Δ = b² - 4ac

∴ Δ = (-1)² - 4(1)(6)

∴ Δ = 1 - 24

Δ = -23

The discriminant is -23

∵ -23 < 0

∴ Δ < 0

∴ The equation has no real solutions

The equation has 0 real solution

What is (-1,2) rotated 90 degrees clockwise

Answers

Answer: 2, 1

Step-by-step explanation:

Whenever you rotate a point on a graph 90 degrees you go from (x,y) to (y,-x)

so -1, 2 goes to 2, 1

help me pleaseeee because i don’t understand at all.

Answers

Answer:

H

Step-by-step explanation:

A pair of earrings costs $50. Kohl’s is having a 15% off sale. How much will the customer save? PLSSSS HELP ME ILL GIVE BRAINLY TO WHO HELP ME PLS ITS URGENT!!!!!

Answers

Answer:

customer saves $7.50

Step-by-step explanation:

10% = $5

5%= $2.50

therefore 15% = $7.50

Answer:

the customer saves $7.50

Step-by-step explanation:

Trust me its right :)

What’s the answer to (10 - 2)3 + 18

Answers

Answer:

42

Step-by-step explanation:

Step 1:

( 10 - 2 ) 3 + 18        Equation

Step 2:

8 ( 3 ) + 18        Subtract Parentheses

Step 3:

24 + 18       Multiply

Answer:

42

Hope This Helps :)

original price: $20.00. It was marked up 25%. What is the new selling price?

Answers

Answer:

$25

Step-by-step explanation

Multiply $20 by 0.25 (which is 25% as a decimal)

$20 x 0.25 = $5

Add $5 to $20 which makes the answer $25

I reallly need help


Plllllllsssssssss........

Answers

Step-by-step explanation:

answer is b

6x-18y=198

the answer is b .....

Maria's fish tank has 16 liters of water in it. She plans to add 6 liters per minute until the tank has more than 64 liters. What are the possible numbers of minutes Maria could add water?

Answers

Answer:

8 minutes

Step-by-step explanation:

T-Shirts R Us advertises shirts as shown below.

3 white shirts and 2 black shirts are 10 dollars per shirt.

Which quantities in the advertisement represent a unit rate?
3 white shirts to 2 black shirts
2 black shirts for every 5 shirts
$10 per shirt
$50 per shirt

Answers

Answer:

$10 per shirt

$50 per shirt

Step-by-step explanation:

A unit rate is price per some number of items. $ per shirt is a price for one item, thus these are unit rates.

Answer

$10 per shirt so C or 3

Step-by-step explanation:

A scale drawing of an office space uses a scale of 2 in. : 3 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?

Answers

Answer: The area of the actual office space = 18 sq. yards

Step-by-step explanation:

Formula : Image length = Scale factor x original length

Given: A scale drawing of an office space uses a scale of 2 in. : 3 yd.

i.e. scale factor = [tex]\dfrac23[/tex]

The scale drawing has an area of 12 square inches.

i.e.   [tex]\text{12 sq. inches}=\dfrac23\times\text{area of the actual office space }[/tex]

[tex]\Rightarrow\ \text{Area of actual office space}=\dfrac{3}{2}\times12=18\text{ sq. yards}[/tex]

Hence, the area of the actual office space = 18 sq. yards

Given: line A is parallel to line B. What is the measure of angle 1?

Angle 1 = (x - 13)

Angle 2 = (6x + 18)​

Answers

Answer:

19.2

Step-by-step explanation:

choose the equation that represents the graph below:

Answers

The answer is y=-2x-4
i used the app desmos to graph it

-23-x=x-5 one solution infinite solution or no solution?

Answers

Answer:

one solution

Step-by-step explanation:

-2x=18

x=-9

f(n)=2n + 4 find the inveres

Answers

Answer:

y = 1/2x - 2 OR f(n)= 1/2n - 2

Step-by-step explanation:

Start by rewriting with X and Y just for ease:

Swap X and Y's places

Solve for Y

y = 2x+4

x = 2y+ 4

x - 4 = 2y

1/2x - 2 = y

According to Teo's bread recipe, he should bake the bread at ° for 30 minutes. His oven measures temperature in °F. To what temperature, in °, should he set his oven? Rewrite the formula C= 59 F-32 to find the Fahrenheit temperature that is equal to °C.

Answers

Answer:

[tex]F = \frac{9}{5}(C + 32)[/tex]

Step-by-step explanation:

Given

[tex]C = \frac{5}{9}F - 32[/tex]

First, we need to solve for F

[tex]C = \frac{5}{9}F - 32[/tex]

Add 32 to both sides

[tex]C + 32 = \frac{5}{9}F - 32 + 32[/tex]

[tex]C + 32 = \frac{5}{9}F[/tex]

Multiply both sides by [tex]\frac{9}{5}[/tex]

[tex]\frac{9}{5} * (C + 32) = \frac{5}{9}F * \frac{9}{5}[/tex]

[tex]\frac{9}{5} * (C + 32) = F[/tex]

[tex]F = \frac{9}{5} * (C + 32)[/tex]

[tex]F = \frac{9}{5}(C + 32)[/tex]

Next, is to determine the temperature in degrees Fahrenheit

However, this is not stated the degree Celsius equivalent is not stated in your question.

So, I'll assume a value for it.

Assume that C = 23

Substitute 23 for C in [tex]F = \frac{9}{5}(C + 32)[/tex]

[tex]F = \frac{9}{5}(23+ 32)[/tex]

[tex]F = \frac{9}{5}(55}[/tex]

[tex]F = 9 * 11[/tex]

[tex]F = 99[/tex]

What is an equation of the line that passes through the points (-3, -1)(and (-4, -4)? Put your answer in fully reduced form.

Answers

Answer:

y=3x+8

Step-by-step explanation:

m=3

y-(-1)=3(x-(-3))

y+1=3x+9

y=3x+8

The equation of the line passes through the point  (-3, -1)(and (-4, -4) is y=3x+8.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line passes through the points (-3, -1)(and (-4, -4)

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -4 + 1 ) / ( -4 + 3 )

Slope = 3

The y-intercept is calculated as,

y = 3x + c

-1 = 3 x -3 + c

c = 8

The equation of the line will be,

y=3x+8

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

evaluate the following equations for the given value.

1. y=4x+1 when, x=0

2.y=x-3 when x= -6

3.y=7x-44,when x=5​

Answers

Answer:

It's  555-2y=3x for 1.

2. 4x=334-6

3. 5*2333x-4y3=1

Step-by-step explanation:

1. y=1, 2. y=-9, 3. y=-9

Clarissa wants to see Luke Bryan in concert. Tickets cost $54.50 each. She has already saved $25 and is going to save $5 per week from her allowance. The inequality 25 + 5w ≥ 54.50 can be used to determine the number of weeks, w, Clarissa will need to save in order to be able to have at least enough money buy a ticket to the concert. Which statement about the number of weeks that Clarissa has saved is true?

Answers

Answer:

The minimum number of weeks Clarissa needs to save is 6 weeks.

Step-by-step explanation:

Clarisaa wants to go to  the concert with the luke bryan

Ticket cost=$54.50

Inequality= 25+5w[tex]\geq[/tex] 54.50

upon solving the inequality we get  

5w [tex]\geq[/tex]  54.50-25

5w [tex]\geq[/tex]   29.5

 w [tex]\geq[/tex]    5.9 = 6weeks approximately

so The minimum number of weeks clarissa needs to save is 6 weeks

Is 80/10 equal to -8

Answers

Answer: No

Step-by-step explanation: Two positives divided never make a negative

Answer:

No, 80/10 turned into a whole number is 8, not -8.

Step-by-step explanation:

To get a whole (1), you need to have 10/10. Since we have 10/10 8 times (80/10) this means we get a whole number of 8, not -8. Therefore, its false. 80/10 is NOT equal to -8

How can you figure out the next number in the pattern below

Answers

Answer:

14

Step-by-step explanation: 29-1=28   28-2=26    26-3=23    23-4=19   19-5=14

i hope that helps

what is the greatest common factor of 13 and 39 please help quick​

Answers

Answer:

13

Step-by-step explanation:

Answer:13 is the greatest common factor

Step-by-step explanation:

PLEASE HELP WILL AWARD BRAINLIEST IF GOOD EXPLANATION THANK YOU

x varies directly with y and inversely with [tex]z^{2}[/tex]. If x = 3 and y = 12 when z = 2, find y when x = 1 and z = 4.

Answers

Answer:

16

Step-by-step explanation:

x∞y/z²

x=ky/z²(where k is the constant)

3=12/2²k

3=12/4k

3=3k

3÷3=k

therefore k=1

x=1y/z²

making y the subject

xz²=y

1(4²)=y

1×16=y

16=y

Question 7 (1 point)
An item on the sale rack at a local supermarket was marked $3.42. The original price of the item was $4.75.
What was the percent of the discount?

Answers

Answer:

: Marked price of dinner set = $480. Discount = 18% of $480 = 0.18 × 480 = $86.40.

| Must include: 7Step-by-step explanation:

Answer:

Step-by-step explanation:

The real answer would 28%

least to greatest 4/5,-1.4, 0.75, -21/3,21%​

Answers

Answer: -1.4, -21/3, 4/5, 21%

Step-by-step explanation:

what is 64.44 rounded to the nearest one?

Answers

Answer:

64.4

Step-by-step explanation:

Because the nearest one is the 4 in 0.4 and 4 isn't enough to make it a 5

Please help I’m really stuck

Answers

They are perpendicular if you put points (2,1) and (7,4) into x1 y1 you will find the slope of u which is 3/5. 3/5 is the opposite reciprocal of -5/3 proving that the lines are perpendicular! Enjoy

PLEASE! I NEED MAJOR HELP!!
Select the equation that is in Standard Form:
1.) 9x + 5y = 8
2.)9y = 5x + 8
3.)y = 9r + 5​

Answers

Answer:

3.

Step-by-step explanation:

standard form: y=mx+b

Find the inverse g(x) of f(x) = 3x - 2.

Answers

Answer:no

Step-by-step explanation:

What’s 0.3 divided by 900

Answers

Answer:

3.3333333333333333333333. . . (3.3 rounded to the nearest tenth)

Step-by-step explanation:

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