A rectangle is 2 √7 feet wide and 3 √7 feet long. What is the area, in square feet, of
the rectangle?

Answer:

2/-2

Step-by-step explanation:

X-axis is first and Y-axis

Answer:

Slope: [tex]m=-\frac{1}{2}[/tex]

y-intercept: [tex](0,-1)[/tex]

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

Step-by-step explanation:

Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](-2, 0)[/tex] and [tex](2,-2)[/tex] as given in the problem, we have slope of this line to be:

[tex]m=\frac{-2-0}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}[/tex].

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

[tex]0=-\frac{1}{2}(-2)+b, \\ b=-1[/tex]

Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=-\frac{1}{2}x-1$}[/tex].

The y-intercept occurs when [tex]x=0[/tex]:

[tex]y=-\frac{1}{2}(0)-1, \\\\y=1[/tex]

Thus, the y-intercept is

[tex](0, -1)[/tex]

A percentage is a way to describe a part of a whole. The cost of the car is $12,412.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that Wayne's country has a sales tax rate of 5%. The total cost of the car plus tax is $13,032.60. Therefore, the total cost of the car can be written as,

The total cost of the car = Cost of the car + Tax on the car

$13,032.60 = Cost of the car + 5% of the cost of the car

Let the cost of the car be represented by x.

$13,032.60 = x + 5% of the x

$13,032.60 = x + 0.05

$13,032.60 = 1.05x

x = $13,032.60 / 1.05

x = $12,412

Hence, the cost of the car is $12,412.

Learn more about Percentages here:

https://brainly.com/question/6972121

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Answer:

4 and 4/15=c. 2 and 2/15=p.

Step-by-step explanation:

I am younger than 12 i dont have much experience; done 2 or 3 problems like this...

first lets make it simpler...

2c+4p=11.20 is the same as c+2p=5.6

then subtract one from the other and you get 4c+2p=12.8

simplify again 2c+p=6.4

so the ratio of c to p is 2:1. Multiply 6.4 by 2/3 to get what c is... 64/15

64/15 is 4 and 4/15. then divide by 2 to get what p is so 64/15÷2=32/15 which is 2 and 2/15.

Answer:

x[tex]\geq[/tex]5

Step-by-step explanation:

The domain is the function defined on your x-axis.

It starts from 5 and includes 5

so the domain is x[tex]\geq[/tex]5

Hey there!

The answer to your first question is 4.5 inches by 6 inches.

We can solve this by doing 3 x 1.5 and 4 x 1.5, which equals 4.5 and 6.

The answer to the second part is 27 inches²

The formula for area is length times width, so you can do 4.5 x 6

The answer to the third part is Ralph is incorrect because he probably found the area of the original dimensions, and then multiplied it by 1.5. You have to find the actual dimensions first, and then find the area.

Hope this helps. Good luck, have a great day, and let me know if there's more.

Answer:

56, 72, and 198.

Step-by-step explanation:

Hope this helped! :)

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

Answer:

A

Step-by-step explanation:

it should be A because if

x-axis represents the time, at the beginning of the day x = 0 and

y-axis the $, at the beginning of the day should be y= 0

Answer:

a linear graph would best represent the relationship

Step-by-step explanation:

just did the khan academy thing

Answer:

17.60 X 30 =528

17.60 x 2 = 35.20

35.20 X 12= 422.40

528+422.40= 950.40

Answer:

7

Step-by-step explanation:

6,300 divide by 900 would equal 7

Answer:

7 beams

Step-by-step explanation:

To find how many beams can be made from steel, we have to find how many times 900 goes into 6,300. So our equation is:

6,300 ÷ 900 = 7

So you can make 7 beams out of 6,300 pounds of steel (and you won't have any steel left.)

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6

Answer:

 c). 2x^3  x  ^3[tex]\sqrt{4}[/tex]

Step-by-step explanation:

i hope this is correct! have a good day! c:

Answer:

Cancel the common factor of 8 and 12x²+6.

Tap for more steps...

4x³/6x²+3

Factor 3

out of 6x²+3.

4x³/3(2x²+1)

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

one of them got $40 and the other one $20

Answer:

135 degrees

This is because 180 - 45 = 135

Answer:

C. 135

Step-by-step explanation:

180-45=135

Answer:

3mph

Step-by-step explanation:

Answer:

The answer is A. 5m - 3

Step-by-step explanation:

Ella bought 5 packs of muffins but since we don't know how many muffins are in each pack, we put a variable in place so it's 5m. Since she saved $3 off the total, that means you would subtract 3 from the total, so the problem would be 5m - 3

Answer:

41 minutes

Step-by-step explanation:

Step one:

given data

Susan purchased a prepaid phone card for $15

let the number of minutes be x

and let the total be y

per minute call cost = 14 cents = $0.14 per minute

Hence the expression for the situation is given as

y= 15-0.14x

Step two:

given that the balance after a call is 9.26

9.26=15-0.14x

solve for x

9.26-15= -0.14x

5.74=0.14x

divide both sides by 0.14

x=5.74/0.14

x=41 minutes

Answer:

A.

Step-by-step explanation:

Combine 7 and -3 to get 4

4+7xy is the answer

Answer:

Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy

Step-by-step explanation:

Answer:

pretty sure its the first one

Step-by-step explanation:

Answer:

k= -50/p

Step-by-step explanation:

Answer is worked out in the photo above.

Answer:

7/6

Step-by-step explanation:

trust me i promise this is right

Answer:

a. 25%

b. 6.5%

c. 20%

Step-by-step explanation:

Answer: speed (s) = distance (d) divided by time (t)

Step-by-step explanation: You can see that every 30 minutes or 0.5 hours, the ship's distance increases by 12.5 miles. The problem even say the ship's speed is constant...so it doesn't matter which numbers you use for your calculation just used the time with the corresponding distance.

Answer:

-14r + 6

Step-by-step explanation:

-12r + 6 - 2r

Answer:

The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21

Step-by-step explanation:

In the given figure

If DEFG is a parallelogram, then DE = GF and DG = EF

∵ DE = GF

∵ DE = 6x - 12 and GF = 2x + 36

→ Equate them

∴ 6x - 12 = 2x + 36

→ Subtract 2x from both sides

∵ 6x - 2x - 12 = 2x - 2x + 36

∴ 4x - 12 = 36

→ Add 12 to both sides

∵ 4x - 12 + 12 = 36 + 12

∴ 4x = 48

→ Divide both sides by 4

∴ x = 12

∵ DG = EF

∵ DG = 6y - 42 and EF = 4y

→ Equate them

∴ 6y - 42 = 4y

→ Add 42 to both sides

∵ 6y - 42 + 42 = 4y + 42

∴ 6y = 4y + 42

→ Subtract 4y from both sides

∵ 6y - 4y = 4y - 4y + 42

∴ 2y = 42

→ Divide both sides by 2

∴ y = 21

∴ The values of x and y that make the quadrilateral is a parallelogram are

   x = 12 and y = 21