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What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?

-1/2
2
-2
1/2

Answers

Answer 1

Alright, so it would be -2 since on a coordinate grid you have the x and y axis. The slope of the line that passes through (-2, 2) and (-4, -2) would be -2.

I hope this helps!~ c:

Answer 2

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)

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


Related Questions

Erica has a monthly budget of $300 to spend on all of her expenses. She uses 2/3 on rent, and 1/4 on food. How much money remains for her expenses

Answers

Answer: $25

Step-by-step explanation: 2/3 of $300 is $200. 1/4 of $300 is $75. The total money she used is $275. $300-$275= $25.

Answer:

$75

Step-by-step explanation:

2/3 of 300 is 200 which means $100 bucks is left and 1/4 on food is $25 so what is left over is $75

A limited edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. What equation can be used to find the vale, y, after x years?

Answers

Answer:

y=3.11x

Step-by-step explanation:

Not sure if it's correct. But my reasoning behind it is that 23.81-20.70=3.11 which means every year the cost goes up by $3.11

WHich of the following correctly completes the square for the equation below ? X^2 + 2x=19

Answers

Answer:

See below.

Step-by-step explanation:

x^2 + 2x = 19

(x + 1)^2 - 1 = 19

(x + 1)^2 = 20.

Answer:

(x+1)2+2x=19

Step-by-step explanation:

i just did it on a p e x

What is the equation parallel to y= -1/5x + 3 and goes through the point (7,4)? Please show steps.

Answers

Answer:

Step-by-step explanation:

If it's parallel, that means it has the same slope: -1/5.

Use point-slope form to write the equation:

y - 4 = -1/5 (x - 7)

If you wish to write in point-intercept form:

y - 4 = -1/5 x + 7/5

y = -1/5 x + 27/5

If two lines are parallel, it means that they will have the same gradient:

And remember, the equation of a line is y = mx +c

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

So we know that the equation of the parallel line is:

y = - [tex]\frac{1}{5}[/tex]x + c        through point (7, 4)

All we need to do now is to work out what c is

Note: at point (7, 4)  x = 7 , and y = 4.

So to work out c, we substitute in the values of x and y, and solve:

y = - [tex]\frac{1}{5}[/tex]x + c

4 = - [tex]\frac{1}{5}[/tex] * 7 + c

4 = -1.4 + c

5.4 = c

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

Finally, we just put the value of c back into the original equation

y = - [tex]\frac{1}{5}[/tex]x + 5.4

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

Answer:

The equation of the a line parallel to y = - [tex]\frac{1}{5}[/tex]x + 3    through point (7,4)

is: y = - [tex]\frac{1}{5}[/tex]x + 5.4

Find the arc length of the semicircle?

Answers

Answer:

5(pi) (exactly) or 15.7 (approximately)

Step-by-step explanation:

The length of arc of an entire circle is the circumference of the circle.

The length of arc of a semicircle circle is half of the circumference of the circle.

C = pi * d

For a semicircle:

arc length = 0.5 * pi * d

arc length = 0.5 * pi * 10

arc length = 5(pi)

arc length = 15.7

A chef has 6 cups of berries and will use 2/3 cups of berries for each serving of fruit salad how many servings can be made

Answers

Answer:

6*2/3 = 12/3 = 4

Step-by-step explanation:

For this case we have a total of 6 cups of berries and per serving of salad we use [tex]\frac {2} {3}[/tex]of cups.

Let "x" be the variable that represents the portions of fruit salad that can be made, then, to find it we divide the number of cups of berries among the amount that is used for a portion:

[tex]x = \frac {6} {\frac {2} {3}} = \frac {6 * 3} {2 * 1} = \frac {18} {2} = 9[/tex]

Thus, 9 portions of salad can be prepared.

Answer:

9 portions

Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6

Answers

Final answer:

The linear equation -3y=x-6 can be graphed using the slope-intercept form y = -1/3x + 2. By choosing different values for x and solving for y, we can find three points that solve the equation. Plotting these points on a graph and connecting them with a line represents the linear equation.

Explanation:

The linear equation -3y=x-6 can be rewritten in slope-intercept form as y = -1/3x + 2. This form allows us to easily determine the slope and y-intercept of the equation. The slope is -1/3, which means for every increase of 1 in x, y decreases by 1/3. The y-intercept is 2, which indicates that the line crosses the y-axis at the point (0, 2).

To find three points that solve the equation, we can choose different values for x and substitute them into the equation to solve for y. Let's choose x = 0, x = 3, and x = -3. Plugging these values into the equation, we get y = 2, y = 1, and y = 3, respectively.

Therefore, the three points that solve the equation are (0, 2), (3, 1), and (-3, 3). When we plot these points on a graph, we can then connect them with a straight line to represent the linear equation.

State if each angle is an inscribed angle. If it is, name the angles and the intercepted arc.

Answers

Answer:

Part 1) The inscribed angle is the angle ∠TRS and the intercept arc is the arc LST

Part 2) The inscribed angle is the angle ∠YWX and the intercept arc is the minor arc XY

Part 3) The inscribed angle is the angle ∠YXZ and the intercept arc is the arc YBZ

Part 4) The figure does not show an inscribed angle

Step-by-step explanation:

Part 1) The figure shown a inscribed angle

The inscribed angle is the angle ∠TRS

The intercept arc is the arc LST

Remember that

The inscribed angle measures half that of the arc comprising

so

∠TRS=(1/2)[arc LST]

Part 2) The figure shown a inscribed angle

The inscribed angle is the angle ∠YWX

The intercept arc is the minor arc XY

Remember that

The inscribed angle measures half that of the arc comprising

so

∠YWX=(1/2)[minor arc XY]

Part 3) The figure shown a inscribed angle

The inscribed angle is the angle ∠YXZ

The intercept arc is the arc YBZ

Remember that

The inscribed angle measures half that of the arc comprising

so

∠YXZ=(1/2)[arc YBZ]

Part 4) The figure does not show an inscribed angle

The figure shown a interior angle ∠BAC

Type the correct answer in each box. Consider the expressions shown below.
A -9x^2-2x+7
B 9x^2-2x+2
C 9x^2+2x-7

Complete the following statements with the letter that represents the expression.

(7x^2-5x+3)+(2x^2+3x-1) is equivalent to expression___ .

(3x^2-4x-4)+(-12x^2+2x+11) is equivalent to expression___ .

(4x^2-3x-9)+(5x^2+5x+2) is equivalent to expression ___ .

Answers

Answer:

B, A and C.

Step-by-step explanation:

(7x^2-5x+3)+(2x^2+3x-1) is equivalent to expression B .

(3x^2-4x-4)+(-12x^2+2x+11) is equivalent to expression A .

(4x^2-3x-9)+(5x^2+5x+2) is equivalent to expression C .

You combine like terms to arrive with the answer.

Hello!

The answer is:

- The first operation match with the polynomial:

B.  [tex]9x^{2} -2x+2[/tex]

- The second operation match with the polynomial:

A. [tex]-9x^{2}-2x+7[/tex]

- The third operation match with the polynomial:

C. [tex]9x^{2} +2x-7[/tex]

Why?

In order to solve the given operations, we need to group the like terms.

Remember, like terms are terms that share the same variable and the same exponent.

For example:

[tex]x^{2} +2x^{2} +3x^{3} +2=3x^{2} +3x^{3} +2[/tex]

We only operate with the variables that shares the same exponent.

Also, we need to remember the distributive property:

[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

So, we are given the following polynomials:

[tex]A.9x^{2} -2x+7\\\\B. 9x^{2} -2x+2\\\\C. 9x^{2} +2x-7[/tex]

And we need to perform the following operations:

First operation,

[tex](7x^{2}-5x+3)+(2x^{2} +3x-1)=7x^{2} +2x^{2} -5x+3x+3-1\\\\7x^{2} +2x^{2} -5x+3x+3-1=9x^{2} -2x+2[/tex]

So, the first operation match with the polynomial:

B.  [tex]9x^{2} -2x+2[/tex]

Second operation,

[tex](3x^{2}-4x-4)+(-12x^{2}+2x+11)=3x^{2} -12x^{2} -4x+2x-4+11\\\\3x^{2} -12x^{2} -4x+2x-4+11=-9x^{2}-2x+7[/tex]

So, the second operation match with the polynomial:

A. [tex]-9x^{2}-2x+7[/tex]

Third operation,

[tex](4x^{2} -3x-9)+(5x^{2} +5x+2)=4x^{2}+5x^{2} -3x+5x-9+2\\\\4x^{2}+5x^{2} -3x+5x-9+2=9x^{2} +2x-7[/tex]

So, the second operation match with the polynomial:

C. [tex]9x^{2} +2x-7[/tex]

Have a nice day!

May somebody help me with this question? (It’s number 3) I would really appreciate it ! :) it gives you up to 50 points

Answers

Answer: Option D.

Step-by-step explanation:

You need to remember that the circumference of a circle can be calculated with this formula:

[tex]C=2\pi r[/tex]

Where "r" is the radius of the circle and [tex]\pi =3.14[/tex]

In this case the distance 150 feet (From the edge of the track to the center of the circle) is the radius.

Since she walks her horse 4 times around the track, you need to multiply the circumference by 4 to calculate the approximate number of feet that she and her horse will travel:

 [tex]C=4[2(3.14)(150ft)]=3,768ft[/tex]

A lighting products company has put a new brand of solar lightbulbs on the market. The graph shows the estimated revenue, in millions of dollars, as the selling price of the lightbulb varies. What selling price is expected to produce the maximum revenue? A. $2 B. $8 C. $5 D. $3

Answers

Answer:

$5

Step-by-step explanation:

Answer:

the answer is 5$

Step-by-step explanation:

line s passes through the points (2,7) and (6,1) line t passes through the point (5,2) and is perpendicular to line s what is the equation for line t

Answers

let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm what is the slope of line S anyway?

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-7}{6-2}\implies \cfrac{-6}{4}\implies -\cfrac{3}{2} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{3}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{3}}}[/tex]

so, we're really looking for the equation of a line whose slope is 2/3 and runs through (5,2)

[tex]\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})~\hspace{10em} slope = m\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=\cfrac{2}{3}(x-5)\implies y-2=\cfrac{2}{3}x-\cfrac{10}{3} \\\\\\ y=\cfrac{2}{3}x-\cfrac{10}{3}+2\implies y=\cfrac{2}{3}x-\cfrac{4}{3}[/tex]

Joelle bought 20 lollipops and 6 bags of Doritos for a total cost of $8.20. She knows that each lollipop cost 25 cents and reasoned that two bags of chip must cost a little more than $1.00. Is this a reasonable guess? Why or why not?

Answers

I mean... I think it's a reasonable guess because not gonna lie- chips can get expensive. BUT- It doesn't really make sense because like, she bought so many lollipops. My brain isn't really functioning to do the math- but my best guess would beeeee... UNreasonble. I'm super super sorry if it's wrong. Math isn't my strong point, sorry. Have a nice day!

Answer:

no

Step-by-step explanation:

because 20×.25 = 5 so the lollipop cost $5.00 and then you only have 3.20 left over

What are the solutions to the system of equations? y=− x 2 +5x+6 −6x+y=6
(0,−1) and (6, 0)
(−1, 0) and (0, 6)
(0, 6) and (1, 2)
(−1, 0) and (6, 0)

Answers

Answer:

option B

(−1, 0) and (0, 6)

Step-by-step explanation:

Given in the question two equations,

Equation 1

y =−x² + 5x + 6

Equation 2

−6x + y = 6

plug value of y in second equation

−6x −x² + 5x + 6 = 6

-x² -6x + 5x +6 - 6 = 0

-x² - x + 0 = 0

-x² -x = 0

-x(x+1) = 0

x = 0

and

x = -1

plug value of x in second equation to find y

x = 0

−6(0) + y = 6

 0 + y = 6

 y = 6

 and

x = -1

−6(-1) + y = 6

6 + y = 6

y = 0

Answer:

(−1, 0) and (0, 6)

Step-by-step explanation:

The given system of equations is

[tex]y=-x^2+5x+6[/tex]

and

[tex]-6x+y=6[/tex]

Solve for y in this second equation

[tex]y=6x+6[/tex]

We equate the two equations to get;

[tex]-x^2+5x+6=6x+6[/tex]

[tex]x^2+x=0[/tex]

[tex]x(x+1)=0[/tex]

x=0,x=-1

When x=0,

y=6(0)+6

y=6

When x=-1

y=6(-1)+6

y=0

HELP PLEASE!!

What is the value of 18^2?

A) 36
B) 324
C) 360
D) 9

Answers

18² is the same as saying 18 * 18, which is 324

Evaluate 1/3m-1-1/2n, when m=21 and n
=12

Answers

Answer:

0

Step-by-step explanation:

= 7 - 1- 6

= 6 - 6

=0

Final answer:

To evaluate the expression 1/3m - 1 - 1/2n with m=21 and n=12, you perform a series of arithmetic operations, resulting in an evaluated expression of 0.

Explanation:

To evaluate the expression 1/3m - 1 - 1/2n when m=21 and n=12, we substitute the given values of m and n into the expression.

Firstly, calculate 1/3 of m: (1/3) × 21 = 7.Secondly, subtract 1 from the result of the first step: 7 - 1 = 6.Thirdly, calculate 1/2 of n: (1/2) × 12 = 6.Finally, subtract the result of the third step from the result of the second step: 6 - 6 = 0.

what value of x makes this equation true? justify your solution.
6x + 12 = -6x + 12

Answers

Answer

0

Solution

6x+6x=12-12

12x=0

X=0

Find m∠1 if m∠2=73°, m∠3=107°, m∠4=92°. Justify your response!

Answers

Answer:

92°

Step-by-step explanation:

The supplementary relationship between angles 2 and 3 means lines a and b are parallel. Since those lines are parallel, corresponding angles 1 and 4 are congruent.

m∠1 = m∠4 = 92°

How do you solve this?

Answers

Answer:

There are  8 boys in the chorus and 16 girls in the chorus

The graph in the attached figure

Step-by-step explanation:

Let

x----> the number of boys

y----> the number of girls

we know that

[tex]y=2x[/tex] -----> equation A

[tex]x=y-8[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (8,16)

see the attached figure

therefore

There are  8 boys in the chorus

There are  16 girls in the chorus


There are 4 semi- trailer truck park a line at the stop. After the first truck, each in the line weights 2 tons more than the truck before it. The truck weight a total of 32 tons. How many pounds does each truck weight?

Answers

Let's say the first truck weighs x tons

Then, the weight of 2nd truck = x+2 tons

The weight of 3rd truck = (x + 2) + 2 = x+4 tons

The weight of 4th truck = (x + 4) + 2 = x+6 tons

Total weight of 4 trucks:

x + (x+2) + (x+4) + (x+6) = 32

 

which can be solved easily to give x = 5

Find the volume of the rectangular prism

Answers

To find the volume of a rectangular prism, we use the formula

Volume = length × width × height.

Since the rectangular prism has a length of 4 m, a width of 2 m, and a height of 1 m we can plug this information into the formula.

(4 m) (2 m) (1 m)

4 m × 2 m = 8 m

8 m × 1 m = 8 m³

Therefore, the volume of the rectangular prism is 8 m³.

Answer:

8

Step-by-step explanation:

L=Length

W=Width

H=Height

L=4

W=2

H=1

4 x 2 x 1

4 x 2 = 8

8 x 1 = 8

Rearranging to check my work:

1 x 4 x 2

1 x 4 = 4

4 x 2 = 8

I was right.

Hope this answers your question.

Identify GCF and LCM (1)
Identify the GCF or LCM for each pair of numbers.


2205
3570

1100
1576

1100
1576

456
4680

456
4680


Choices to choose from
GCF = 24
GCF = 4
LCM = 433400
LCM = 74970
LCM = 88920

Answers

Answer:

2205

3570

LCM = 74970

1100

1576

GCF = 4

1100

1576

LCM = 433400

456

4680

GCF = 24

456

4680

LCM = 88920

Step-by-step explanation:

18837429928373829193

What is the measure of B E​

Answers

Answer:

8cm

Step-by-step explanation

In between AE and DE

$4386 + 25% of the amount over $31850 1) 3986 2) 426.25 3) 4650 4) 7750

Answers

Answer:

3.)

Step-by-step explanation:

I need help ASAP.... please help....

Answers

Answer:

(7x-1)(x-3)

Step-by-step explanation:

7x^2 - 22x + 3

The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.

(7x +/- [n1]) ( x +/- [n2]) = 7x^2 - 22x + 3

Since the two numbers multiply to a positive value, they have to have the same sign. (7x-1) (x-3) works to produce the expression when it's foiled.

Answer:

(7x-1)(x-3)

Look in the photos. I hope this helps!

Let me know if you're unsure about anything! Thanks! :)

Which sequences are arithmetic? Select three options.

Answers

Answer:

In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Step-by-step explanation:

PLEASE HELP!!!!
The table shows which color boys and girls from 8th grade picked as their favorite color

Answers

Answer:

It should be  B I me

Step-by-step explanation:

To determine which percentage is higher, we need to calculate the percentage of boys who prefer green and the percentage of girls who prefer red.

Percentage of boys who prefer green:

Total number of boys = 2 + 4 + 4 + 5 = 15

Number of boys who prefer green = 5

Percentage of boys who prefer green = (5/15) x 100% = 33.33% (rounded to the nearest whole number, this is 33%)

Percentage of girls who prefer red:

Total number of girls = 4 + 3 + 1 + 3 = 11

Number of girls who prefer red = 4

Percentage of girls who prefer red = (4/11) x 100% = 36.36% (rounded to the nearest whole number, this is 36%)

Therefore, the percentage of girls who prefer red (36%) is higher than the percentage of boys who prefer green (33%).

The answer is B. At 36%, the percentage of girls who prefer red is higher.

30 points for this question!| Mr. O’Hara found that on a recent trip his car used 12 gallons of gas to drive 396 miles. Assume that m represents the number of miles driven and g represents the number of gallons of gas used. What value makes the equation m=_*g represent the relationship between gallons of gas and miles driven?

Answers

Answer:

m = 33*g.

Step-by-step explanation:

The consumption of gas = 396 / 12

= 33 miles / gallon.

m = 33*g (answer).

find the area of the shape

Answers

Answer:

A = 12.5 units ^2

Step-by-step explanation:

This figure is a trapezoid

The area of a trapezoid is given by

A = 1/2 (b1+b2) * h  where b1 and b2 are the lengths of  the bases and h is the height

b1 = 7.5 and b2 = 2.5  and h = 2.5

A = 1/2( 7.5 + 2.5) * 2.5

A = 1/2(10) * 2.5

A = 12.5

2.5x2.5=6.25

7.5-2.5=5/2=2.5

(1/2)x2.5x2.5=3.125x2=6.25

6.25+6.25=12.5

The answer is: 12.5 units^2

What is (a+b)(a-b) equal

Answers

Answer:a squared-b squared

Step-by-step explanation:

Answer:

[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]

Step-by-step explanation:

This is a example of remarkable identities.

We know that the result of multiplication is called product and the values ​​that multiply are called factors.

We call remarkable identities to certain algebraic expressions with binomial products very frequent in the calculation.

For this example, we got a Product of the sum for the difference of two binomials.

[tex](a+b)(a-b)[/tex]

The product of the sum for the difference of two binomials is equal to the square of the first quantity, minus the square of the second.

[tex](a+b)(a-b)=a^{2} -b^{2}[/tex]

Demostration:

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

.

Other Questions
Please solve and give answer If you have two dice and you roll one, what is the probability the second dice is less than or equal to the first dice number? ABC bank requires a 20% down payment on all of its home loans if a house is priced at 185000 what is the amount of the down payment required by the bank? 25 POINTS!!The diagram below shows the percentages of people attending a football game who were supporters of either the home team or the visiting team.the home team: 80%visiting team: 20%if the total number of people attending the gamewas 64,000, how many people were supporters of the home team?A, 12,800B, 38,4000C, 48,000D, 51,200 SUBSCRIBE TO PEWDIEPIE how did Florence Kelley help women workers? Which statement describes the principles of the Nationalist party?A. They accepted foreign powers and admired the emperor.B. They wanted to give more power to the warlords.C. They wanted a revolution led by the working class.D. They resented outside control but admired Western ideas. Read the sentences.Grandma Ellis is a native of Ohio. She grew up during the Great Depression of the 1930s.Which sentence correctly combines these two sentences with an appositive phrase?A. Grandma Ellis is a native of Ohio, and she grew up during the Great Depression of the 1930s.B. Growing up during the Great Depression of the 1930s, Grandma Ellis is a native of Ohio.C. Grandma Ellis is a native of Ohio who grew up during the Great Depression of the 1930s.D. Grandma Ellis, a native of Ohio, grew up during the Great Depression of the 1930s. how would conservatives liberals and radicals view social problems in general? An online news website gets updated regularly with the latest happenings around the world. Some of the news articles in the website are long. Which color pair is most suitable for a long text article on a web page? Atticus says, "we've made it [home] this way for them; they might as well learn to cope with it." whom does he mean by "them"? what evidence from the text represents the central point of Wiesels Nobel Prize acceptance speech? A. we much always take sides. Neutrality helps the oppressor, never the victim. silence encourages the tormentor, never the tormented. B. for i belong to a traumatized generation, one that experienced the abandonment and solitude of our people. C. and i tell him that i have tried. that i have to try to keep memory alive, that i have tried to fight those who would forget. D. and then i explained to him how naive we were, that the world did know and remain silent. What has the growth of the service economy caused How is the atomic number of a nucleus changed by alpha decay? Consider the following figure. Which of the following statements are true? Select all that apply. (Answer choices are in the picture) What are the opposites of 5, ?2.5, 1.15, and 9 1 5 ? Enter the answers in respective order, each separated by comma. Legit about to be done with pathway please help, OFFERING 20 points k? please tho When using the PowerPoint Online application, which tab allows users to add graphical and multimedia elements to a presentation? A. Design B. File C. Home D. Insert What can you assume is the subject of a sentence that gives an order, such as Buy your tickets here? where is Earth's oldest known rock located Archie rolls two number cubes, each with sides numbered 1 through 6. He then finds the sum of the numbers on the top of the cubes.Which two sums have the the same probability?