Find the slope of the line that goes through the points (-4, 4) and (4, 6).

Answer: an arithmetic sequence

Step-by-step explanation:

Answer:

A = 250 square ft

Step-by-step explanation:

Equations

Let's call:

x = width of the game room

The length is 5 more than twice the width, thus:

2x+5 = length of the game room

The perimeter of a rectangle is twice the sum of the width and the length:

P = 2( x + 2x + 5 )

And the perimeter is 70 ft:

2( x + 2x + 5 ) = 70

Operating:

2( 3x + 5 ) = 70

Dividing by 2:

3x + 5 = 35

Subtracting 5:

3x = 30

Dividing by 3:

x = 30 / 3

x = 10

The width is 10 ft and the length is 2(10)+5=25 ft

The area of the game room is:

A = 10 ft * 25 ft

A = 250 square ft

Answer:

Isabel’s retirement savings are made with pretax dollars.

Isabel’s retirement savings may include a contribution from her employer.

Step-by-step explanation:

When you contribute to an IRA account, your contribution is tax deductible. This means that all the money that you contribute to your account comes from pretax dollars. This contribution is limited to $19,500 per year (for 2020) or $26,000 if you are 50 or older.

Your employer can also contribute to your 401(k) account and employer's contribution may be even higher than the employee's. Total contributions including employer's and employee's cannot exceed $57,000 per year (or $63,500 if 50 or older) or the employee's total compensation per year, whichever is lower.

Answer:

Angle 3

Angle 4

Angle DVE

Angle FVE

Angle DVF

The angles that have V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]

Recall:

Thus, from the given image,

Each of the following angles has V as the vertex of its angle:

Therefore, the list of all angles having V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]  

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Answer:

y = [tex]\frac{1}{2}[/tex] x  

Step-by-step explanation:

Slope of perpendicular to y = - 2x - 5 line is [tex]\frac{1}{2}[/tex]

y - 2 = [tex]\frac{1}{2}[/tex] ( x - 4)

y = [tex]\frac{1}{2}[/tex] x

Answer:

[tex]y=\frac{1}{2} x[/tex]

Step-by-step explanation:

Answer: 2 and 3 B

Step-by-step explanation:

Y=cos(x-5pi/2), y=sinx

Answer:

Label A:increasing

Label B: no change

Label C: decreasing

Step-by-step explanation:

Answer:

still blurry

Step-by-step explanation:

Answer:

B is your answer

Step-by-step explanation:

Hope this helped!

Answer:

4 years if my math is correct

Step-by-step explanation:

Answer:

Option B 6x-7y = -11 is correct

Step-by-step explanation:

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (3,1)

The equation used is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where m is the slope.

Finding slope :

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

x₁= 1/2, y₁=2, x₂=-3, y₂=-1

Putting values:

[tex]m=\frac{-1-2}{-3-1/2} \\m=\frac{6}{7}[/tex]

Now taking point (1/2,2) and slope m = 6/7 finding equation:

[tex]y-y_{1}=m(x-x_{1})y-2=\frac{6}{7}(x-\frac{1}{2})\\ 7(y-2)=6(x-\frac{1}{2})\\7y-14=6x-3\\7y-6x=-3+14\\7y-6x= 11\\Multiply \,\,with\,\, -1\\-7y+6x=-11\\6x-7y=-11[/tex]

So, Option B 6x-7y=-11 is correct

Keywords: Standard form of the equation

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Equation of this line in standard form:

6x − 7y = −11

Given points:

(-3, -1) ; (1/2 , 2)

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (-3,-1)

The equation used is:

(y - y1) = m (x - x1)

m = slope = y2 - y1 /x2 - x1

Now,

(-3,-1) : (x1 , y1)

(1/2,2) : (x2 , y2)

m = slope = y2 - y1 /x2 - x1

m = 2- (-1)/ 1/2 - (-3)

m = 6/7

Substitute the values in the standard form,

y - (-1) = 6/7 [x- (-3)]

⇒6x−7y=−11

Hence

Equation of this line in standard form:

6x − 7y = −11

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Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

Answer:

Care Value will be 202500 Rupees.

Step-by-step explanation:

2225000(0.9)

Answer:

2.456%

Step-by-step explanation:

Answer:

The Yates phone bill will be $2100 for a year.

Step-by-step explanation:

175x12=2100

Answer:

2100

Step-by-step explanation:

but i think i be broke after that

Answer: I think it's no, sorry if I can't help

Step-by-step explanation:

Answer:8^1/6*2^x=32^1/2

We move all terms to the left:

8^1/6*2^x-(32^1/2)=0

Domain of the equation: 6*2^x!=0

x!=0/1

x!=0

x∈R

We get rid of parentheses

8^1/6*2^x-32^1/2=0

We calculate fractions

There is no solution for this equation

Answer:

Bill Gates is 5'10"                                                                                                                      

Answer:

182

Oh and btw, its funny because I'm in your 6th period class. And i was looking up the answer and couldn't find it so when i found your i decided to help you answer it too

-Mikey

Answer:182

Step-by-step explanation:

Answer:Hunter read 6 months in a month

Step-by-step explanation:

12/2=6 books in a month

Answer:

6 Books a Month

Step-by-step explanation:

12 / 2 = 6

The unit rate for canned juice, in cases per minute is; 50 cases per minute is; cases per minute

From the attached file, we see that it is a graph showing canned juice on the y-axis and time taken in minutes on the x-axis.

Now, to find the unit rate also means to find the slope from 2 defined points. From the given graph, we will take the coordinates;

(1, 50) and (2, 100)

Thus;

Slope = (100 - 50)/(2 - 1)

Slope = 50 cases per minute

Thus, the unit rate for canned juice, in cases per minute is; 50 cases per minute.

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Complete question is; A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.

What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.

Answer:

Step-by-step explanation:

Given the two points

Determining the distance between the points

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(7-\left(-3\right)\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{\left(7+3\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{10^2+5^2}[/tex]

[tex]=\sqrt{100+25}[/tex]

[tex]=\sqrt{125}[/tex]

[tex]=\sqrt{5^3}[/tex]

[tex]=\sqrt{5^2\cdot \:5}[/tex]

[tex]=5\sqrt{5}[/tex]

Therefore,

[tex]\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}[/tex]

Determining the midpoints between the points

Given the two points

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:10\right),\:\left(x_2,\:y_2\right)=\left(7,\:15\right)[/tex]

[tex]=\left(\frac{7-3}{2},\:\frac{15+10}{2}\right)[/tex]

[tex]=\left(2,\:\frac{25}{2}\right)[/tex]

Therefore,

[tex]\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)[/tex]

Answer:it would need to be 5

Answer:

A

Step-by-step explanation:

By doing the unit rate, dividing 19 on both the top and bottom, getting this 8.36.../1, you can just round it to 8/1, meaning he makes about 8 deliveries per hour. Hope this helps!

The mode is 1.

It was repeated 4 times whereas 6 was only repeated 3 times, 4 twice, and 0 once.

Answer: 1

The mode is the number that occurs the most within the set of numbers. If the set of numbers is as follows: 1, 4, 4, 1, 1, 0, 6, 6, 6, 1, then the answer is one(1).

However, if the set of numbers appear as follows: 14, 41, 10, 66, 61, then there is no mode.

Answer:

The missing value is 2.9mm and cosine was used

Step-by-step explanation:

Given triangle is a right-angled triangle  we can use trigonometric ratios to calculate the missing length.

In the given triangle,

Base = k

Hypotenuse = 15mm

Angle = 79

We will use trigonometric ratio which includes base and hypotenuse.

Using cosine,

[tex]cos\ (angle) = \frac{Base}{hypotenuse}\\cos\ 79 = \frac{k}{15}\\k = cos\ 79 * 15\\k = 0.1908*15\\k = 2.862[/tex]

Rounding off to nearest tenth

[tex]k= 2.9mm[/tex]

Hence,

The missing value is 2.9mm and cosine was used

Answer:

the circle has a radius

Step-by-step explanation:

Answer: 1 1/5 mph

Step-by-step explanation: