(6,-2),(r,-6),m=4 find the value of r so that the line passes through each pair of points has a given slope

Answers

Answer 1

r = 5

calculate the slope m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with ( x₁, y₁ ) = (6, - 2 ) and (x₂, y₂ ) = (r, - 6)

m = [tex]\frac{-6+2}{r-6}[/tex] = [tex]\frac{-4}{r-6}[/tex] = 4

cross multiply

4(r - 6 ) = - 4

4r - 24 = 4 ( add 24 to both sides and divide by 4 )

4r = 20

r = [tex]\frac{20}{4}[/tex] = 5


Answer 2

The value of r so that the Slope of a line passes through the points (6,-2) and (r,-6) with a slope of 4 is 7.

In mathematics, the slope of a line through two points can be determined using the formula m = (y2 - y1) / (x2 - x1), where m is the slope, (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In your case, the given points are (6, -2) and (r, -6) and the slope (m) is given to be 4. So, insering these values in the formula, you get: 4 = (-6 - (-2)) / (r - 6).

By simplifying the above equation, we find that r = 7.

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Related Questions

is 17/31 greater than 19/14

Answers

Answer:

No

Step-by-step explanation:

Put both in your calculator. Do it in this order.

17

÷

31

=

0.5484

=========

Now do the next one

18

÷

14

=

1.357

19/14 > 17/31

-2b+2(b+3)=-3(-b+2)-b

Solve for b

Answers

I believe that “b” would equal 6

help ASAP please
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Each multiple choice question is worth 5 points.


Step-by-step explanation: You can find this answer by using the equation "14m + 24 = 16m + 14" and then solving for "m". To find what "m" is, you must first subtract 14m from both sides, leaving "24 = 2m + 14". Next, you subtract 14 from both sides, leaving "10 = 2m". Finally, you divide both sides by 2, which will give you "m = 5". Thus meaning each multiple choice question is worth 5 points.

To check this, simply fill in for "m" and solve each side. 14 * 5 + 24 = 94 and 16 * 5 + 14 = 94. 94 = 94, so "m = 5" is correct.

I hope this helps!


(3a^3b^-2c^0d)^3/6a^3b^-8c*b^2d

Answers

Answer:

[tex]4.5a^6d^2[/tex]

Step-by-step explanation:

Use:

[tex](ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^0=1\ for\ a\neq0[/tex]

----------------------------------------------------------------------------------

[tex]\dfrac{(3a^3b^{-2}c^0d)^3}{6a^3b^{-8}c\cdot b^2d}=\dfrac{3^3(a^3)^3(b^{-2})^3(1^3)d^3}{6a^3b^{-8+2}d}=\dfrac{27a^9b^{-6}d^3}{6a^3b^{-6}d}\\\\=\dfrac{27}{6}a^{9-3}b^{-6-(-6)}d^{3-1}=4.5a^6b^0d^2=4.5a^6d^2[/tex]

Help ASAP please!!!!
First answer and correct answer gets the brain...

Answers

Answer:

U = 40/3 or 13.3 as a decimal.


Hope this helps :-)


u= 40/3 is the answer

A triangle has side lengths of 16, 63, and 68. Is it a right triangle? Need an explanation please.

Answers

Answer:

No, this particular triangle is not a right triangle.  See my reasoning, below:

Step-by-step explanation:

We must determine whether the Pythagorean Theorem is satisfied here.  Does the sum of the squares of the shorter two sides equal the square of the longest side?  Symbolically, does 16^2 + 63^ = 68^2?  Does 256 + 3969 = 4624?  No.


the point-slope form of a equation of the line that passes through (-4, -3) and (12, 1) is y-1= 1/4 (x - 12) What is the standard form of the equation for this line?

Answers

x-4y=8

Hope this helps!

-1-4s=8. .,......,.....,..............

Answers

Hello!

[tex]-1-4s=8[/tex]

[tex]-1-4s+1=8+1[/tex]

[tex]-4s=9[/tex]

[tex]\frac{-4s}{-4}=\frac{9}{-4}[/tex]

[tex]s=-\frac{9}{4}[/tex]

Explanation: This question is super easy for me. First you had to do add 1 from both sides. It gave us -1-4s+1=8+1, then simplify, and it gave us -4s=9. You can also divide by -4 from both sides. It gave us -4s/-4=9/-4, and simplify. And the answer it gave us is s=-9/4 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

HELP....PLZ thanks!!!!!!!!!!!!

Answers

Answer:

64mph

56mph

higher

64mph


56mph


higher

It's too short. Write at least 20 characters to explain it well.


how to divide fractions

Answers

You can multiply by the reciprocal. Leave the first fraction in the equation alone.

Turn the division sign into a multiplication sign.

Flip the second fraction over (find its reciprocal).

Multiply the numerators (top numbers) of the two fractions together. ...

Multiply the denominators (bottom numbers) of the two fractions together.


Hello There!

To divide fractions, all you have to do is leave the first fraction alone in the equation but multiply by the reciprocal in the second fraction. This means "Flipped Number" so you flip the numerator and denominator in the second fraction and multiply across then simplify if you need to.

what is the simplified form of the expression 1/2 (2x + 6).

Answers

1/2(2x+6)
Substitute the one half to both of the numbers inside the parentheses.
1/2*2 is one which would just be x
1/2*6 is three
X+3

The answer would be x+3

raise 2 to the 7th power, then find the sum of the result and r

Answers

Final answer:

Raising 2 to the 7th power gives 128, and the sum of this result with a variable r is expressed as 128 + r.

Explanation:

To raise 2 to the 7th power, you multiply 2 by itself 7 times—2 x 2 x 2 x 2 x 2 x 2 x 2. The result of this calculation is 128. Now to find the sum of this result and r, you simply add r to 128, which can be represented as 128 + r. This expression signifies the sum of 2 raised to the 7th power and a variable r.

Angelica’s speed is 4 cm/minute, Monique’s speed is 3.5 cm/minute, and Courtney’s speed is 5.5 cm/minute. Which turtle will win the race? Explain your reasoning.

Answers

5.5 cm per minute is the fastest so it will win.

Answer :Courtney will win the race. Her unit rate is the greatest,which means she walks farther in one minute than the other two turtles.

Step-by-step explanation:

that is the sample version.

HELP PLEASE!!!
Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function? A. It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
B. It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line.
C. It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.
D. It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

Answers

Answer:

The correct option is:  A

Step-by-step explanation:

The given equation is:  [tex]y= 2x-3[/tex]

If [tex]x=0[/tex], then [tex]y=2(0)-3 = 0-3=-3[/tex]

If [tex]x=1[/tex], then [tex]y=2(1)-3 = 2-3=-1[/tex]

If [tex]x=2[/tex], then [tex]y=2(2)-3 = 4-3=1[/tex]

So, the points on the graph of the given equation are:  (0, -3), (1, -1) and (2, 1)

According to the below graph, those points are on a straight line.

Thus, the correct option will be:  A. It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Answer:

A. It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Hope it helped!

Btw, it was correct on the test!

What does 1/2 ( 3/5x - 8) + 7/4 ( 2/5x + 4)

Answers

1/2(3/5x-8)+7/4(2/5x+4)=x+3
meaning x=-3
Final answer:

To simplify the given expression, distribute the fractions and combine like terms. The final simplified expression is 1/x + 24.

Explanation:

To simplify the given expression 1/2 (3/5x - 8) + 7/4 (2/5x + 4), we need to distribute the fractions across the terms. First, distribute 1/2 across 3/5x and -8, then distribute 7/4 across 2/5x and 4. This results in (3/10x - 4) + (14/20x + 28). Now, combine like terms by adding the coefficients of x. Thus, the simplified expression is (3/10x + 14/20x) + (-4 + 28).

To add the fractions (3/10x + 14/20x), we need to find a common denominator. The least common multiple of 10 and 20 is 20. Multiply the numerator and denominator of the first fraction by 2 and the numerator and denominator of the second fraction by 1 to obtain (6/20x + 14/20x). Now, add the fractions together to get (20/20x), which simplifies to 1/x.

Combine the constants (-4 + 28) to get 24. Therefore, the simplified expression is 1/x + 24.

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What were the two whole numbers?

Answers

Answer:

Ah, this is an example of the distribution property, as you would need to distribute the 5 to the 8 and 3. Here's the step-by-step process:

[tex]5(8+3)[/tex]

Let's first multiply the 5 and 8

[tex]5(8)=40[/tex]

Now, the 5 and 3

[tex]5(3)=15[/tex]

We now have two whole numbers, and therefore our answer:

40 + 15

Two combine harvesters are able to harvest the crop from 320 acres in a certain amount of time. Working together for the same time, how many acres can be harvested by: 3,4 and 12. combine-harvesters Will mark Brainliest!

Answers

2=320

320/2=  160


Key:

*1=160



3*160=480

4*160=640

12*160= 1920


Working together for the same time, 3 combine harvesters can harvest 480 acres, 4 combine harvesters can harvest 640 acres, and 12 combine harvesters can harvest 1920 acres.

If two combine harvesters can harvest 320 acres in a certain amount of time, we need to find out how many acres can be harvested by 3, 4, and 12 combine harvesters working together for the same amount of time.

1. **Three combine harvesters**:

  Since 2 combine harvesters can harvest 320 acres, the harvesting capacity per harvester is:

  - 320 acres / 2 harvesters = 160 acres per harvester in the given time.

  Therefore, 3 combine harvesters can harvest:

  - 3 harvesters * 160 acres per harvester = 480 acres.

2. **Four combine harvesters**:

  Similarly, 4 combine harvesters can harvest:

  - 4 harvesters * 160 acres per harvester = 640 acres.

3. **Twelve combine harvesters**:

  Similarly, 12 combine harvesters can harvest:

  - 12 harvesters * 160 acres per harvester = 1920 acres.

In summary, working together for the same time, 3 combine harvesters can harvest 480 acres, 4 combine harvesters can harvest 640 acres, and 12 combine harvesters can harvest 1920 acres.

what is the resulting polynomial when 3x+7 is multiplied by 2x-6

Answers

(3x+7)(2x-6)= 6x squared -4x-42

6x^2-4x-42

The product of the expressions (3x + 7) and (2x - 6) will be 6x² - 4x - 42.

What is polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed.

The expressions are given below.

(3x + 7) and (2x - 6)

Then the product of the expressions (3x + 7) and (2x - 6) will be

(3x + 7) (2x - 6) = 6x² + 14x - 18x - 42

(3x + 7) (2x - 6) = 6x² - 4x - 42

More about the polynomial link is given below.

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The city of Minerva pays 916$ per year for health insurance for each of it's 72 municipal employees. What is the total cost that the city pays per year ?

Answers

So, this is a rate per person * number of people.


So,

$916 per person * 72 people = 65,952

The city pays $916 per year for health insurance for;

each of 72 municipal employees

So;

1 municipal employee gets ⇒ $916

72 employees get ⇒ How much?

Cross multiplying gives:

72/1 × $916 = $65,952

The total cost the city pays per year is $65,952.

what else would need to be congruent to show that ABC = DEF by SAS?

Answers

The answer us A.

Line AC needs to be congruent to DF because for SAS (side angle side) we have a side (BA and DE) and an angle (A and D) so we need another side.

Answer:

A. [tex]\overline{AC}\cong \overline{DF}[/tex].

Step-by-step explanation:

We have been given image of two triangles ABC and DEF. We are asked to find the information that will show that both triangles are congruent by SAS.

We know that two triangles are congruent by Side-Angle-Side congruence, if two sides and included angle of a triangle is equal to two sides and included angle of the other triangle.

We can see that angle A is included angle of side AB and AC, while angle D is included angle of side DE and DF.

We have been given that angle A is congruent to angle D and side AB is congruent to side DE.

To be both triangles congruent by SAS congruence, side AC must be congruent to side DF, therefore, option A is the correct choice.

Please help I need help

Answers

An inverse variation can be represented by the equation

[tex]xy=k\to y=\dfrac{k}{x}[/tex]

We have

[tex]\dfrac{y}{6}=x\qquad|\cdot6\\\\y=6x[/tex]

Answer: The relationship does not show an inverse variation.

Margo borrows $400 agreeing to pay it back with 5% annual interest after 6 months. How much interest will she pay?

Answers

She will pay $20 in interest

20 dollars of interest would be payed

Hope this helps

Kyle is using the general form of a quadratic equation to derive the quadratic formula. He reaches the step in his proof that states x2 + b a x = - c a . Which term must he add to complete the square?

Answers

Answer:

[tex] \dfrac{b^2}{4a^2} [/tex]

Step-by-step explanation:

There are some fractions there that are not visible.

Here it is with the fractions in place.

[tex] x^2 + \dfrac{b}{a}x = -\dfrac{c}{a} [/tex]

To complete the square, take half of the x-term coefficient, and square it.

The x-term coefficient is [tex] \dfrac{b}{a} [/tex].

Take half of it, or [tex] \dfrac{b}{2a} [/tex].

Now square it: [tex] \dfrac{b^2}{4a^2} [/tex].

That is what you must add to complete the square.

Answer:

(b/2a)^2

Step-by-step explanation:

usatestprep

Work out the size of angle y.

Answers

2x+16=3x-12

16+12=3x-2x

28=x

now,since this is a fig of 2 parallel line with a bisector then line EF =180 degrees.

therefore,3x+12+y=180

3(28)+12+y=180   [we already found the value of x]

96+y=180

y=180-96

y=84.

Determine the truth values for all four statements If x=3,then x=I3I

Answers

4a.

Inverse: If two segments are not of same length, then they are not congruent. TRUE

Converse: If two segments are congruent, they have the same length. TRUE

Contrapositive: If two segments are not congruent, then they do not have the same length. TRUE

4b.

Inv: if x not= 3, then |x| not= 3. FALSE. Counterexample: x=-3

Conv.: if |x|=3 then x=3. FALSE. Ex: x=-3

Contr: if |x| not=3 then x not= 3.   TRUE

Vertex of y=2x^2-16x+8

Answers

First you use the formula (-b/2a) to find the axis of symmetry(or the x value) and then you plug that into the equation to find the y value.

a = 2

b= -16

16/2(2)=16/4=4

(4, x )  so we have the x-value and now we plug 4 into the original equation

y=2(4)^2-16(4)+8

y=2(16)-64+8

y=32-64+8

y=-24

So the vertex is at (4,-24)

Use the interactive ruler to measure the distance from the center of dilation, C, to the image and pre-image. The distance from point C to point A is units. The distance from point C to point A' is units. The distance from point C to point A' is the distance from point C to point A.

Answers

Answer:

4,2, and one-half in the answer!!!! :)

Step-by-step explanation:

Having used the interactive ruler, the distance from the center of the dilation to the image and pre-image is 4 Units.

What is an Interactive ruler?

Also known as an Interactive Teaching Program (ITP) ruler, this virtual tool (which displays on the computer screen) is used to measure the lines and sides of a shape.

What is the distance from point C to point A is units?

Having used the interactive ruler, the distance from point C to point A is units is 2 units.

Also, The distance from point C to point A' is 1.5 Units.

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(5,-7) (5,3) finding slope using formula.

Answers

m = (y2 -y1)/ (x2-x1)

m = (3-(-7))

       --------

       5-5

 The slope is undefined since the denominator is zero

Solve for y: 15 = y – 7

Answers

Some number y has 7 subtracted off to get 15. We have y-7 = 15. To isolate y, we have to undo the "subtract 7" operation that happens to y. We have to add 7 to both sides.

y-7 = 15

y-7+7 = 15+7

y = 22 is the answer

Hello!

Solve for y.

[tex]15 = y - 7[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides.

[tex]y-7=15[/tex]

Then you add by 7 from both sides of the equation.

[tex]y-7+7=15+7[/tex]

Simplify it should be the correct answer.

[tex]y=22[/tex]

Answer⇒⇒⇒⇒⇒y=22

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

toni can carry up to 18 lb in her backpack l. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?

Answers

Answer:

5 books

Step-by-step explanation:

Given that Toni carries upto 18 lbs in her backpack.

The maximum weight Toni can carry is 18 lbs.

Of these 18 lbs, already lunch of 1 lb and gym clothes of 2 lbs are included.

hence available for books is only the remaining 15 lbs.

Total weight in backpack= 18 lbs(Maximum)

Weight of lunch = 1 lb

Weight of her gym clothes = 2 lb

Hence maximum weight available for books = 18-(1+2) = 15 lbs

Weight of one book = 3 lbs.

No of books she can carry = 15/3 = 5 books


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