calculate the mid points of the line segments below using the midpoint formula given two endpoints
(-3,3),(0,-7)​

Answers

Answer 1

Answer:

[tex]M(-\dfrac{3}{2}, -2)[/tex]

Step-by-step explanation:

[tex]M(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})[/tex]

[tex]M(\dfrac{-3 + 0}{2}, \dfrac{3 + (-7)}{2}) =[/tex]

[tex]= M(\dfrac{-3}{2}, \dfrac{-4}{2})[/tex]

[tex]= M(-\dfrac{3}{2}, -2)[/tex]


Related Questions

how to solve slope intercept form with 4y=x+3

Answers

Answer: y = (1/4)x + 3/4

m = 1/4 = slope

b = 3/4 = y intercept

===================================================

Explanation:

The goal is to solve for y.

Divide both sides by 4 and simplify like so

4y = x+3

4y/4 = (x+3)/4

y = (x+3)/4

y = x/4 + 3/4

y = (1/4)x + 3/4

This equation is in slope intercept form y = mx+b

m = 1/4 is the slope

b = 3/4 is the y intercept

The graph is a straight line that goes through (1,1) and (5,2)


[tex] \frac{ {x}^{3} }{x { }^{2} + 2x + 1} [/tex]
Hi! I need help with the problem above. I know the answer to it is x-2+((3x+2)/(x^2+2x+1)), but I need help knowing and understanding the process. I can usually divide polynomials with ease, but I have never had to divide when the divisor is larger than the dividend. Can you please show me how to solve this with long division? Also, if you still have time to help me, how would synthetic division work with this? Thank you in advance!​

Answers

Since

[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^3}{(x+1)^2}[/tex]

we can perform synthetic division twice, first for

[tex]\dfrac{x^3}{x+1}[/tex]

then dividing the result by [tex]x+1[/tex] again.

...  ||  1     0    0    0

-1  ||        -1     1    -1

================

...  ||  1     -1    1     -1

This translates to

[tex]\dfrac{x^3}{x+1}=x^2-x+1-\dfrac1{x+1}[/tex]

Now divide [tex]x^2-x+1[/tex] by [tex]x+1[/tex]. (Dividing the remainder term by [tex]x+1[/tex] can wait until the end.)

...  ||  1    -1      1

-1  ||        -1     2

=============

...  ||  1    -2     3

or equivalently,

[tex]\dfrac{x^2-x+1}{x+1}=x-2+\dfrac3{x+1}[/tex]

Taking everything together, we have

[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^2-x+1}{x+1}-\dfrac1{(x+1)^2}[/tex]

[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac3{x+1}-\dfrac1{(x+1)^2}[/tex]

Combine the last two fractions:

[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3(x+1)-1}{(x+1)^2}[/tex]

[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3x+2}{(x+1)^2}[/tex]

which agrees with the solution we found in your other question.

(There's a variant of synthetic division that works with directly dividing a polynomial by another one of any degree, but it's basically just a condensed version of applying the algorithm for dividing a polynomial twice by a linear one, like we've done here.)

Hi plz just give me an answer. no explanation needed. sorry and thanks

Answers

Answer:

B=45

The sum of the interior angle of a triangle is equal to 180

Therefore equate angle A, B and C to 180

then add them to get 135 + c=180

group like terms,135 crosse the equal sign to be negative

which is c=18p-135

c=45

Which equation represents this proportional relationship


y=3x

y=1/6x

y=6x

y=1/3x

Answers

Answer:

I think that, please check it y=3x

Evaluate the expression below when x = 5.
3(2x - 7)​

Answers

Answer:

9

Step-by-step explanation:

Hello!

They want us to find x when x is 5 so we put 5 in for x

3(2(5) - 7)

Now we follow PEMDAS

3(10 - 7)

3(3) = 9

The answer is 9

Hope this helps!

can someone help me in kinda dumb

Answers

Answer:

[tex]\Huge \boxed{\mathrm{d}}[/tex]

Step-by-step explanation:

y is equal to $1.67 per pounds of peanuts

pounds of peanuts = x

y is equal to $1.67 per x

per is for each

y = $1.67 × x

The equation that correctly describes this relation is option d.

What is the midpoint between each pair (-1, -5) and (-5, 9)

Answers

Answer: (-3, 2)

==============================================

Explanation:

The x coordinates are -1 and -5. They add to -6. Which is then cut in half to -3

The y coordinates are -5 and 9. They add to 4. This is cut in half to 2.

The midpoint is therefore (-3, 2)

-------

A symbolic way to write this is if you had endpoints (a,b) and (c,d), then the midpoint is [tex]\left(\frac{a+c}{2}, \frac{b+d}{2}\right)[/tex]

If 5 becomes 11 and 12 becomes 25, what does 15 become?

Answers

Answer:

31

Step-by-step explanation:

5---11

12---25

hmmm

isn't that jsut x * 2 + 1?

soooo

15 would be

15*2+1

which is 31

Answer:

31.

Step-by-step explanation:

5+5 = 10 + 1 = 11

12 + 12 = 24 +1 = 25

15 + 15 = 30 + 1 = 31

I don't know I tried to see if that was the pattern. It checks out math wise.

how do reference angles work and how do you find them?

Answers

A 200-degree angle is between 180 and 270 degrees, so the terminal side is in QIII.

Do the operation indicated for that quadrant. Subtract 180 degrees from the angle, which is 200 degrees.

You find that 200 – 180 = 20, so the reference angle is 20 degrees.

hope this helped!

o(* ̄▽ ̄*)ブ

Rewrite the number in standard form. 3.4 x 10^8

Answers

Answer:

340000000

Step-by-step explanation:

3.4 x 10^8 is in scientific notation.

To change this to standard form you have to multiply 3.4 by 10 to the 8th power. You would be multiplying 3.4 by 10 eight times. It's a positive 8 so you move the decimal point 8 times to the right. If it were a negative then you'd move the decimal to the left.

3.4

↑ moving the decimal 8 times to the right would then make it 340000000

Help urgent, which functions are bounded below but not above? Choose all answers that apply.

Answers

Answer:

c, e, f, and i

Step-by-step explanation:

a. is bounded above at y = 1 and below at y = 0

b. is unbounded both above and below

c. is bounded below at y = 0 and unbounded above

d. is unbounded both above and below

e. is bounded below at y = 0 and unbounded above

f. is bounded below at y = 0 and unbounded above

g. is bounded below at y = 0 and bounded above at y = 1

h. is unbounded both above and below

i. is bounded below at y = 0 and unbounded above

j. is unbounded both above and below

What is an equation of the line that passes through the points (6,2) and (-6, -8)?
Put your answer in fully reduced form.

Answers

Step-by-step explanation:

Hey, there!!

Let me simply clear you.

The given points are (6,2) and (-6,-8).

Remember if you are finding the equation of the line passing through point, you will get equation in slope intercept form.

If there is two point you simply use one point formula. {i.e (y-y1)= m(x-x1)} (as the slope will be given too).If you are finding the equation for two points then use double point formula for the equation. { i.e (y-y1) = (y2-y1/x2-x1) × (x-x1)}.

As in your question there are two points we must use double point formula,

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

[tex]( y - 2) = \frac{ - 8 - 2}{ - 6 - 6} (x - 6)[/tex]

Simplifying them we get,

6(y-2)= 5(x-6)

6y - 12 = 5x -30

Therefore, 5x - 6y - 18 = 0 is the required equation.

Hope it helps.....

Which image shows a rotation?

Answers

Answer:

c is the best answer in my mind

Definitely c !! It’s shows a rotation !!

what is the equation of the line​

Answers

Answer:

y = -7

Step-by-step explanation:

the value of -7 is constant at the x coordinates

y = -7

x   |   y

-8   |  -7

-6   |  -7

-4   |  -7

-2   |  -7

0    |  -7

2    |  -7

4    |  -7

6    |  -7

8    |  -7


Brainliest for whoever gets this right!

Make x the subject of the formula

a(x-b)=a^2+bx

Answers

Answer:

[tex]x=\frac{(a^2+ab)}{a-b}[/tex]

Step-by-step explanation:

So we want to make x the subject of the formula:

[tex]a(x-b)=a^2+bx[/tex]

First, distribute the left side:

[tex]a(x)-a(b)=a^2+bx\\ax-ab=a^2+bx[/tex]

Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:

[tex](ax-ab)-bx=(a^2+bx)-bx\\ax-ab-bx=a^2[/tex]

Remove the -ab from the left. Add ab to both sides. The left side cancels:

[tex](ax-ab-bx)+ab=a^2+ab\\ax-bx=a^2+ab[/tex]

Now, distribute out the x from the left side:

[tex]ax-bx=a^2+ab\\x(a-b)=a^2+ab[/tex]

Divide both sides by (a-b). The left side cancels:

[tex]\frac{(x(a-b))}{a-b}=\frac{(a^2+ab)}{a-b} \\x=\frac{(a^2+ab)}{a-b}[/tex]

Therefore:

[tex]x=\frac{(a^2+ab)}{a-b}[/tex]

Answer:

Step-by-step explanation:

ax -ab = + bx

collect like terms

ax-bx= +ab

factorise

x(a-b)=a(a+b)

x=[tex]\frac{a(a+b)}{a-b}[/tex] or [tex]\frac{a^{2} + ab}{a -b}[/tex]

What is the cost of 18 toy cars?

Answers

Answer:

  $27

Step-by-step explanation:

Assuming this price list, ...

  4 toy cars cost 6 dollars

  6 toy cars cost 9 dollars

  8 toy cars cost 12 dollars

We recognize that 18 cars is 3 times 6 cars, so the cost will be ...

  cost of 18 cars = 3(cost of 6 cars) = 3($9) = $27

The cost of 18 toy cars is $27.

When you roll a dice you are more likely to get a 2 than a 6

Answers

Answer:

You are just as likely to get a 2 as a 6

Step-by-step explanation:

There are six sides on a die 1,2,3,4,5,6

Assuming a fair normal die

P(2) = number of 2's / total = 1/6

P(6) = number of 6's / total = 1/6

You are just as likely to get a 2 as a 6

If the rectangle is 38 inches and the length is 12 how much is the width ?

Answers

Answer:

width= 3.17

Step-by-step explanation:

Divide 38 (the area) by 12 (the width)

The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of newer wide-screen televisions is 16:9. Find the width and height of an older 35-inch television whose screen has an aspect ratio of 4:3.

Answers

Answer:

The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.

Step-by-step explanation:

35-inch television is a television whose screen has an hypotenuse ([tex]l[/tex]) of 35 inches and the aspect ratio of 4 : 3 means that 4 inches width per each 3 inches height. And by Pythagorean Theorem:

[tex]r_{l} =\sqrt{r_{w}^{2}+r_{h}^{2}}[/tex]

Where:

[tex]r_{l}[/tex] - Hypotenuse rate, dimensionless.

[tex]r_{w}[/tex] - Width rate, dimensionless.

[tex]r_{h}[/tex] - Height rate, dimensionless.

If [tex]r_{w} = 4\,in[/tex] and [tex]r_{h} = 3\,in[/tex], the hypotenuse rate is:

[tex]r_{l} = \sqrt{4^{2}+3^{2}}[/tex]

[tex]r_{l} = 5[/tex]

The width and height of the old television can be found with the help of trigonometric functions:

Width of 35-inch old television ([tex]w[/tex])

[tex]w = l\cdot \cos \theta[/tex]

[tex]w = l\times\left(\frac{r_{w}}{r_{l}} \right)[/tex]

Height of 35-inch old television ([tex]h[/tex])

[tex]h = l\cdot \sin \theta[/tex]

[tex]h = l\times\left(\frac{r_{h}}{r_{l}} \right)[/tex]

Where [tex]\theta[/tex] is the direction of the hypotenuse with respect to width, measured in sexagesimal degrees.

If [tex]r_{w} = 4[/tex], [tex]r_{h} = 3[/tex] and [tex]r_{l} = 5[/tex] and [tex]l = 35\,in[/tex], the width and height of the old 35-inch television:

[tex]w = (35\,in)\times \left(\frac{4}{5} \right)[/tex]

[tex]w = 28\,in[/tex]

[tex]h =(35\,in)\times \left(\frac{3}{5} \right)[/tex]

[tex]h = 21\,in[/tex]

The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.

2. The radius of a circle is 9 cm. Find the area of the circle
(Use 3.14 as the approximation of T.)

Answers

Answer:

Area of a Circle = 254.34 cm²

Step-by-step explanation:

Area of a Circle = π r²

Area of a Circle = 3.14 * 9²

Area of a Circle = 254.34 cm²

Given x=-3, y=6, and z=-4
-15+(-x)+y=

Answers

x = -3 , y = 6 , z = -4

Take Given equation :

⇒-15 + (-x) + y = 0

substitute values of x and y

⇒-15 + [- ( -3)] + 6

⇒-15 + (3) + 6

⇒-15 + 9

⇒-6

Hence, value of -15 + (-x) + y = - 6

1. Which one does not belong *
O y=(x+4)(x-6)
O y=2x²-88-24
O y=x2+5x-25
O y=x®+3x?-10x-24

Answers

Answer:

I believe the answer is 2x² - 88 - 24, since it is the only one with a number in front of the x²

Step-by-step explanation:

y = x² - 2x - 24

y = 2x² - 88 - 24

y = x² + 5x - 25

y = x² + 3x - 10x - 24

(3x + 5) (x2 – 10x + 2 ).

Answers

Answer:

[tex]3x^{3} -25x^{2} -44x+10[/tex]

Step-by-step explanation:

Hello!

To solve this we distribute what in one parenthesis into the other

                 3x                  

3x * x^2 = 3x^3

3x * -10x = -30x^2

3x * 2 = 6x

                 5                  

5 * x^2 = 5x^2

5 * -10x = -50x

5 * 2 = 10

Now we put like terms together and simplify

3x^3 + 0 = 3x^3

-30x^2 + 5x^2 = 25x^2

6x - 50x = -44x

0 + 10 = 10

Put it all together

3x^3 + 25x^2 - 44x + 10

Hope this helps!

Answer:

3x^3 + 25x^2 - 44x +10

Step-by-step explanation:

To answer this use FOIL

First Outer Inner Last

In this problem start by distributing the 3x

3x^3-30x^2+6x

Next distribute the 5 in the second parenthesis

5x^2 - 50x + 10

Lastly, add like terms (terms that have the same variable and powers)

3x^3 - 25x^2 +6x +10

A new Youth Activity Center is being built in Hadleyville. The perimeter of the rectangular playing field is 442 yards. The length of the field is 4 yards less than quadruple the width. What are the dimensions of the playing​ field?

Answers

Answer:

45 yards and 176 yards

Step-by-step explanation:

Perimeter of a rectangular playing field = 2(Length + width)

P = 2(L+W)..................... Equation 1

From the question,

Let the width of the rectangular playing field = x yards,

The the Length = 4x-4 yards.

Given: P = 442 yards.

Substitute these values into equation 1

442 = 2(4x-4+x)

442/2 = 5x-4

221 = 5x-4

5x = 221+4

5x = 225

x = 225/5

x = 45 yards.

Width = 45 yards.

Length = (45×4)-4 yards = 176 yards

Hence the dimensions of the playing field are, 45 yards and 176 yards

The first four terms of a sequence are shown below:
7,4, 1, -2
Which of the following functions best defines this sequence?
Of(1) = 7, f(n + 1) = f(n) + 3; for nx 1
O f(1) = 7, f(n + 1) = f(n) - 3; for nx 1
O f(1) = 7, f(n + 1) = f(n) – 4; for n 2 1
Of(1) = 7, f(n + 1) = f(n) + 4; for n > 1

Answers

Answer:

second option

Step-by-step explanation:

Given the sequence

7, 4, 1, - 2

There is a common difference d between consecutive terms, that is

d = 4 - 7 = 1 - 4 = - 2 - 1 = - 3

Thus to obtain any term in the sequence from the previous term, subtract 3

Thus

f(1) = 7 , f(n + 1) = f(n) - 3 for n ≥ 1

3.what is 8/30 equal to?​

Answers

Answer:

4/15

Step-by-step explanation:

[tex]\frac{8}{30}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4}{15}[/tex]

PLEASE I BEG FOR HELP! Find mKNL A. 247 B. 184 C. 196 D. 264

Answers

Answer:

D. 264°

Step-by-step explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,

60° = 1/2[(18x - 6)° - (5x +17)°]

60° * 2 = (18x - 6 - 5x - 17)°

120° = (13x - 23)°

120 = 13x - 23

120 + 23 = 13x

143 = 13x

143/13 = x

11 = x

x = 11

(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°

(5x +17)° = (5*11 +17)° =(55+17)° = 72°

m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°

m (arc KNL) = 264°

whats the pattern 729, -243, 81, -27, 9

Answers

Answer:

This is the product of three nines (three factors of 9). 9 × 9 × 9 × 9 = 6561 --> This is the product of four nines (four factors of 9). It's a common mistake among educators to state that 81 is what we get by "multiplying nine by itself twice".

Rewrite 2/20 : 1/40 as a unit rate

Answers

Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

Given:

2/20 : 1/40

A). First re-write the ratio as follows;

(i) Change the ratio sign to division (÷). i.e

2/20 ÷ 1/40

(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)

(2/20) × (40 / 1) = [tex]\frac{2}{20}[/tex] × [tex]\frac{40}{1}[/tex] = [tex]\frac{4}{1}[/tex]

B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.

So to convert   [tex]\frac{4}{1}[/tex]  to unit rate, we keep simplifying until the denominator becomes 1.

And since the denominator is already 1, there is no need for further simplification.

Therefore, 2/20 : 1/40 to unit rate is  [tex]\frac{4}{1}[/tex]

Answer:4/1

Step-by-step explanation:

I say this because you are supposed to divided it and the answer is 4 then you find the answer choice with a 1 as the denominator and it should say 4/1 and that is the correct answer.

A high school athlete ran the 100 meter sprint in 13.245 seconds. what is the time rounded to the nearest tenth. Award is brainliest

Answers

hi! 13.245 rounded to the nearest tenth should be 13.2!

the first number is the tenths, second is hundredths, and third is thousandths! hoped this helped:)

The value of each digit in a number is known as the place value. The time rounded to the nearest tenth is 13.2 seconds.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

Given the time to run is 13.245, now tenth means the value that is after the decimal. Since the value after the tenth is 4, therefore, the tenth value will remain the same but the numbers after that will be erased.

Hence, the time rounded to the nearest tenth is 13.2 seconds.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

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