Find the equation of the line (3,-2) and parralel to the line containing the points (-2,4) and (-4,-2).

Answers

Answer 1
Since the slope of a line is (change in y)/(change in x), we can plug (-2, 4) and (-4, -2) in to get (-2-(-4))/(4-(-2))=(-2+4)/(4+2)=2/6=1/3, making our equation 
y=(1/3)x+b from y=mx+b. Plugging (3, -2) in from there, we get -2=(1/3)*3+b=1+b. Subtracting 1 from both sides, we get b=-3, making our equation y=(1/3)x-3 due to that y and x stay variables

Related Questions



Assuming all factors are real, factor x4 + y4.
A) (x + y)(x + y)(x - y)
B) (x2 + y2)(x + y)(x - y)
C) (x2 + y2)(x - y)(x - y)
D) cannot be factored in the real number system

Answers

Could not factor further

Help please!!!!!


Construct a function with a rate of change 2/3 and a initial value of 4.

Answers

If you recall y=mx+b, the slope-intercept form of a linear equation, the slope, m, is the rate of change of the equation, and the y-intercept is b. 

When switching to function notation, we simply swap y for f(x), and if we start at x=0 and graph in the positive x direction, we've started at whatever initial value exists (the y-intercept value).

Simply: F(x) = 2/3 x + 4

The equation of the linear function will be y = (2/3)x + 4.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A function with a rate of change of 2/3 and an initial value of 4. Then the equation of the linear function is given as,

y = (2/3)x + 4

The equation of the linear function will be y = (2/3)x + 4.

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a cookie recipe needs 1 1/3 cups of flour to make 1/2 batch of cookies. How much flour is needed to make 1 batch of cookies?

Answers

2 2/3cups of flour for a full batch of cookies
Since it takes 1 1/3 of flour to make half a batch. To get a whole batch, which would be 2/2. we add  1 1/3 + 1 1/3 =  8 / 3 or 2.6666 or 2 2/3 cups of flour


ben is making a dessert that requires 2.5 pound of strawberries and 1.5 pounds of blueberries. The straw berries cost $1 less per pound. Ben paid a total of $9.50 on the fruit what was the price per pound of each fruit?

Answers

2.5(x-1) plus 1.5x is equal to $1.75 per pound
2.5x + 1.5y = 9.50
x = y - 1

2.5(y - 1) + 1.5y = 9.50
2.5y - 2.5 + 1.5y = 9.50
2.5y + 1.5y = 9.50 + 2.50
4y = 12
y = 12/4
y = 3 <== blueberries cost $ 3 per lb

x = y - 1
x = 3 - 1
x = 2 <== strawberries cost $ 2 per lb

what is the value of b if 9+b=-8

Answers

9+B=-8 first start by moving the nine 
B = -17 there is your answer .

hope this helps and give brainliest . thanks !

What numbers belong to 0.050505

Answers

The number is a rational number so it belongs to the rational number family. We can tell it is rational because it repeats a pattern of 05...

Mrs.fan wrote 5 tenths minus 3 hundredths on the board. Michael said the answer is 2 tenths because 5 minus 3 is 2. Is he correct? Explain.

Answers

0.5 - 0.03 = 0.47
2 tenths= 0.2
5 tenths and 3 hundredths are not similar units so you can't simply subtract 5 and 3. The correct answer is 0.47.
Final answer:

Michael's answer is incorrect. He seems to have forgotten to differentiate between tenths and hundredths. The correct subtraction of 5 tenths and 3 hundredths is 0.47 (or 47 hundredths), not 2 tenths.

Explanation:

No, Michael is not correct. He seems to have confused decimal subtraction with simple integer subtraction. When subtracting decimals, we should treat tenths and hundredths differently as they represent different place values in a decimal number. So, when Mrs. Fan wrote 5 tenths minus 3 hundredths on the board, she meant 0.5 (5 tenths) minus 0.03 (3 hundredths), not 0.5 minus 0.3.

Thus, the correct answer should be 0.47 (or 47 hundredths), not 2 tenths.

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what is 2.75+ (-2) + (-5.25) =

Answers

-4.5 just use PMDAS but you're answer is -4.5
the answer is -4.5

2.75-2=0.75
then 0.75-5.25= -4.5
+ times - give us - sign thats why we have subtract

What is 8p squared- 3p squared+7p spuared

Answers

remember PEMDAS

first add -3p^2 and 7p^2 to get 4p^2.

next add 8p^2 and 4p^2 to get 12p^2

12p^2 is your answer

Which inequality represents the problem? A duck can dive below sea level at a rate of 5 feet per second. How many seconds will it take the duck to reach a depth of at least –29 feet? A. B. C. D.

Answers

 it will take the duck 5.8 seconds to reach 29 feet of depth. 

a rectangular room is 7 feet wide. it is twice as long as it is wide. what is the perimeter of the room?

Answers

42 because it is all of the sides have to be added up for the perimeter so the formula would be 14+14+7+7.

Amelia butt roast beef for $6.85 per pound find the total cost to Familia but 4 lb of roast beef justify your answer using the distributive property

Answers

9-0-90-90-999 this is not the answer i just want points

solve for x
abx-cdx=15m

Answers

x(ab-cd)=15m

x=15m/(ab-cd)
Final answer:

To solve for 'x' in the equation 'abx-cdx=15m', rewrite the equation, factor out the 'x', and solve for 'x'. The solution is 'x = 15m / (ab - cd)', provided that 'ab' does not equal 'cd'.

Explanation:

To solve for x in the equation abx-cdx=15m, we need to firstly isolate the terms containing x. Let's start by rewriting the equation:

abx = cdx + 15m

Then, factoring out the x, we get:

x(ab - cd) = 15m

Finally, we can solve for x by dividing both sides of the equation by (ab - cd):

x = 15m / (ab - cd)

Note: this solution works provided that ab≠cd since division by zero is undefined in mathematics.

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Find the Equation of x(2x+5)-3(2x+5)=0

Answers

2x² + 5x -6x - 15 = 0

2x² - x - 15 = 0

2x² -x = 15

x = 3

3 x 3 = 9 x 2 = 18 - 3 = 15

i really don't know how i got 3 in the first place but that is your answer

hope this helps


Convert 0.0001 to a power of 10

Answers

The power will be negative as the number is < 1.
Count the number of digits after the decimal point until you came to first number > 0. (counting this number)

This comes to 5  so the answer is

1 * 10^-5  or just 10^-5

0.0001 can be represented as [tex]\(1 \times 10^{-4}\)[/tex] in scientific notation, showing its value with a coefficient of 1 and an exponent of -4. This notation simplifies large or small numbers, making them easier to work with in calculations and comparisons.

When converting a number to scientific notation, like 0.0001, we aim to express it as a coefficient multiplied by a power of 10. The coefficient is a number greater than or equal to 1 and less than 10, and the power of 10 indicates how many places the decimal point must be shifted to obtain the original number.

In the case of 0.0001, there are four decimal places. Each decimal place corresponds to a division by 10. So, to get from 0.0001 to 1, we need to multiply by 10 four times, which gives us [tex]\(10^{-4}\)[/tex]. This signifies that the decimal point needs to be moved four places to the right to reach 1.

So, 0.0001 can be written as [tex]\(1 \times 10^{-4}\)[/tex], where 1 is the coefficient (because it's between 1 and 10) and -4 is the exponent of 10.

what of the plane is a transformation which shifts all the points in a plane figures without altering the shape of the figure

Answers

This is a easy question, but the words make no sense..... i am pretty sure that either they turned the plane upside down...or they switched parts until it has not been changed at all, i hope i'm answering this correctly and that this will help.

Is the mapping, or movement, of all the points of a figure in a plane according to a common operation *

10 points

Reflection

Translation

Transformation

Rotation

is a transformation that "slides" each point of a figure the same distance and direction. *

10 points

Reflection

Translation

Transformation

Rotation

a transformation that flips a figure over a reflection line *

10 points

Reflection

Translation

Transformation

Rotation

is a transformation that turns a figure about a fixed point for a given angle *

10 points

Reflection

Translation

Transformation

Rotation

is generally used to generate more variable names for things which are similar *

10 points

Verticies

Prime

Congruent

Function

Plural of vertex meaning the corner where two lines meet *

10 points

Verticies

Prime

Congruent

Function

Same size same shape *

10 points

Clockwise

Counter Clockwise

Congruent

Prime

maps each input to one and only one output. *

10 points

Function

Clockwise

Congruent

Prime

in a curve corresponding in direction to the typical forward movement of the hands of a clock. *

10 points

Function

Clockwise

Counter Clockwise

Prime

in the opposite direction to the way in which the hands of a clock move around *

10 points

Function

Clockwise

Counter Clockwise

Prime

1/3m - 1 - 1/2n. m=21 n=12

Answers

1/3(21)-1-1/2(12)
7-1-6
0

what two partial products would you add to find 513 multiply by 46

Answers

The two partial products of 513 x 46 are:

500 x 46 and 13 x 46.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

We have,

513 x 46 = 23598

We need to find two partial products.

513 can be written as:

513 = 500 + 13

So,

= (500 + 13) x 46

= 500 x 46 + 13 x 46

= 23000 + 598

= 23598

The two partial products are 500 x 46 and 13 x 46.

Thus,

The two partial products of 513 x 46 are 500 x 46 and 13 x 46.

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Final answer:

To calculate 513 multiplied by 46, you should add the first partial product (3078) and the second partial product (20520) to get the total product of 23598.

Explanation:

To find the product of 513 multiplied by 46 using the partial products method, you'll need to break down the equation into parts based on place value and then add those parts together. The process is as follows:

Multiply the ones place of the second number by the entire first number. So, 6 (from the 46) times 513.

Multiply the tens place of the second number by the entire first number. That means 40 (from the 46, which is 4 tens) times 513.

To complete this calculation:

6 * 513 = 3078 (this is the first partial product).

40 * 513 = 20520 (this is the second partial product).

Now, we add both partial products together:

3078 + 20520 = 23598

So, 513 multiplied by 46 equals 23598.

Can someone please help?????? Is it stretch or dilation????Or another one?????

Answers

Stretch should be correct.

It can't be reflection or rotation because that would result in a congruent figure (same side lengths). A dilation would result in a similar figure, where each of the sides is multiplied by a constant value, which is not the case here since one side remains the same and the other changes.

The answer is stretch.

A conjecture and a portion of the flowchart proof used to prove the conjecture are shown.



Which statement best represents the information that should be in the box labeled 1?

AB=BC

BC¯¯¯¯¯≅CA¯¯¯¯¯

AB¯¯¯¯¯≅CA¯¯¯¯¯

AB=CA

Answers

Given that AB is similar to BC.

By the segment congruence postulate, AB = BC

Therefore, the statement that best represents the information that should be in the box labeled 1 is AB = BC.

The statement that best represents the information that should be in the box labeled 1 is; AB = BC. Hence, the correct option is A.

What is reflexive property of congruence?

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

It is Given that A conjecture and a portion of the flowchart proof used to prove the conjecture are shown. AB is similar to BC.

Thus, By the segment congruence postulate, AB = BC

Therefore, the statement that best represents the information that should be in the box labeled 1 is; AB = BC.

Hence, the correct option is A.

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Which value is a solution of the equation 5-4x=-3?
A. 0
B. 2
C. -3
D. 1/4

Answers

B. 2 I hope that this helps.

Can someone help me?

Answers

4x +31 = 35
6x +39 = 45
35 + 45 = 80 
I believe it would be 80

Explain how the order of operations determine how you simplify a numerical expression

Answers

order of operations helps by simplifying  a numeric expression because you have to solve it by doing gemdas which is grouping symbols, evaluate exponents, multiply and/or divide from left to right, and lastly add and/or subtract from left to right. This helps because you will get the answer and you will understand the question better.

What is greatest to least with 6 1/20 , 6.1 , and 6.07

Answers

Hello, there! 


[tex] 6\frac{1}{20} = \frac{121}{20} = Decimal: 6.05 [/tex]

Your problem becomes: [tex]6.05 , 6.1 , 6.07 [/tex]

Your answer would be: [tex]6.1 [/tex] → [tex]6.07 [/tex] → [tex] 6\frac{1}{20} [/tex]

Remember: [tex]greater /greatest ( \geq )\\ = MoreThan \\ \\ \\ lesser/ least ( \leq ) \\ = LessThan [/tex]

Good luck on your assignment and enjoy your day! 

~
[tex]MeIsKaitlyn:)[/tex]

What is the value of x?

6x − 2(x + 4) = 12

(And there are no answer choices)

Answers

6x-2(x+4)=12
6x-2x-8=12
4x-8=12
    +8  +8
4x=20
/4   /4
x=5
I think that x=5. You add 2 to the 12, and subtract it from the -2, which evens that out. Then the rest is simple. Hope this helps! :)

Calculate the midpoint of a line segment with the endpoints (3,5) and (7,-3)

Answers

midpoint = (x1 + x2) / 2 , (y1 + y2) / 2
(3,5)...x1 = 3 and y1 = 5
(7,-3)...x2 = 7 and y2 = -3
time to sub
m = (3 + 7)/2 , (5 - 3) / 2
m = 10/2 , 2/2
m = (5,1) <===

Final answer:

The midpoint of the line segment with endpoints (3,5) and (7,-3) is calculated using the midpoint formula and is (5,1).

Explanation:

To calculate the midpoint of a line segment with the endpoints (3,5) and (7,-3), you use the midpoint formula, which is given by the average of the x-coordinates and the average of the y-coordinates of the endpoints. The formula looks like this: M = ((x1 + x2) / 2, (y1 + y2) / 2).

For the given points (3,5) and (7,-3), the calculations are as follows:

The average of the x-coordinates: (3 + 7) / 2 = 10 / 2 = 5The average of the y-coordinates: (5 + (-3)) / 2 = 2 / 2 = 1

Therefore, the midpoint of the line segment is (5,1).

Suppose f(x)=4x-2 and g(x)=-2x+1

Answers

In order to get g(x) you would multiply the equation of f(x) by -1/2.
4x(-1/2)=-2x and -2(-1/2)=1.

plz show the work for 4762×33

Answers

2 1  1
4762
    33
---------
14,286                              answer is 28,572
14286
---------
28,572

Multiplying 4762 by 33 through long multiplication involves multiplying 4762 by 3 and 30 separately, then adding the results to get the final answer of 157146.

To multiply 4762 by 33, you use long multiplication:

Multiply the number 4762 by 3 (the ones place of 33). Write the result under the line.Multiply the number 4762 by 3 again (this time because of the tens place in 33), and write this result one place to the left of the previous result.Add both results together to get the final answer.

Step-by-step:

      4762
 x      33
 ---------
    14286   (4762 x 3)
+ 14286     (4762 x 30, note the one place shift)
 ---------
   157146   (addition of both results)

Thus, 4762 multiplied by 33 equals 157146.

How to solve y^2=144/169

Answers

Find the square root of both sides
√y²= √(144/169)

y= √144 / √169
y= 12/13

Final answer: y=12/13

The solution to the equation y^2 = 144/169 yielding two possible solutions for y which are 12/13 and -12/13.

Step 1: Take the square root of both sides of the equation to get y. Remember that taking the square root of a square will provide you with the original value. However, since every positive real number has two square roots, one positive and one negative, your answer will have two potential values.

Step 2: The square root of 144 is 12, and the square root of 169 is 13, thus the equation becomes:

y = ± (12/13)

Therefore, the two solutions to the equation are y = 12/13 and y = -12/13.

what is the pattern for 2,6,18,54..

Answers

the pattern is times by 3
The pattern is by threes
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