The width of a rectangle is 3 less than twice the length, x. If the perimeter of the rectangle is 43 feet, find the dimensions.

Answer:

the three vertices are (1, 1), (2, 0), (-1, -3).

The vertices of the triangles are the coordinates of the point of

intersection of the graph of the equation of the three lines.

Correct response:

The coordinates of the three vertices of the triangles are;

E. [tex]\underline{(2, 0), \ (1, -1), \ and \ (-1, -3)}[/tex]

The equation of the given lines are;

y = -x + 2, y = 2·x - 1, y = x - 2

The point of the intersection of the two lines, gives the vertices, and are

the solution of the two linear equations of the lines.

At the points where the lines intersect, we have;

-x + 2 = 2·x - 1

Which gives;

3·x = 3

x = 1

y = -1 + 2 = -1

A vertex is at the point (1, -1)

The coordinate of the second vertex is given as follows;

2·x - 1 = x - 2

2·x - x = -2 + 1 = -1

x = -1

y = -1 - 2 = -3

The second vertex is; (-1, -3)

The coordinates of the third vertex is given as follows;

-x + 2 = x - 2

2·x = 4

x = 2

y = 2 - 2 = 0

Which gives the point; (2, 0)

Learn more about linear equations here:

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Answer:

$18.75 the difference is $56.25

Step-by-step explanation:

Answer: g

Step-by-step explanation:

4348x.065=282.62

282.62x5=1413.1

282.62x3=847.86

1413.1-847.86=565.24

Compared to a 3-year loan he has to pay G. $565.24 more for a 5-year loan.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

Given, Mr. Fitch needs to get a loan to replace the air-conditioning system.

He can apply for a 5- year loan or a 3-year loan. Both loans involve simple interest with an annual interest rate of 6.5%.

Here, p = $4,348.00, r = 6.5%, t₃ = 3 and t₅ = 5.

For, t₃.

SI₃ = (4348×6.5×3)/100.

SI₃ = $847.86.

For, t₅.

SI₅ = (4348×6.5×5)/100.

SI₅ = $1,413.1.

So, the amount of interest he will have to pay more is (SI₅ - SI₃).

=  $(1,413.1 - 847.86).

= $565.24.

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$SPJ2

21

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman GhostBusters

Answer:

Step-by-step explanation:

Given the expression [tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1}[/tex]

According to indices:

[tex]a^{-1} = \frac{1}{a}[/tex]

Applying this to the question:

[tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = \frac{1}\left\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right}[/tex]

Hence:

[tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = \frac{\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]}{\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]} \\\\\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = 1[/tex]

Hence the right answer is 1

Answer:

= 1

Step-by-step explanation:

Answer:

c = 6H

Step-by-step explanation:

This is a question showing that there is a direct variation between the cost, c, and hours, H.

So that;

c ∝ H

∝ is the proportionality sign

c = kH

where k is a constant of proportionality.

Thus, given that c = $30 and H = 5 hours, then;

30 = k x 5

30 = 5k

Divide both sides by 5 to have;

k = [tex]\frac{30}{5}[/tex]

k = 6

For this situation, since k = 6; then,

c = 6H

Answer:

that is not a function

Step-by-step explanation:

Answer:

58,927 converted to scientific notation is 5.8927  x 10^4 (10 to the fourth power

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

-3--2=-1 -3--5=2

-1/2

Answer: 3 1/4 inches

Step-by-step explanation:

9 3/4 - 6 1/2

I turned 6 1/2 into an easier fraction so it can be easier to subtract. Now the expression is:

9 3/4 - 6 2/4

6 2/4 is equivalent to 6 1/2

I then got 3 1/4

Answer:

1/5

Step-by-step explanation:

Total Number of Marbles in the bag = 15

The probability of randomly selecting a green marble is 1/3

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble = 1/15

The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is calculated as

The probability of randomly selecting a green marble × The probability of randomly selecting a red marble

Hence:

1/15 = 1/3 × R

1/15 = R/3

Cross Multiply

R × 15 = 1 × 3

R= 3/15

R= 1/5

Hence, the probability of randomly selecting a red marble is 1/5

Answer:

Answer: 5.64 centimeters more rain fell in Dubaku's town than in Elliot's town. Step-by-step explanation: Amount of rainfall in Dubaku's hometown is 8 centimeters, amount of rainfall in Elliot's hometown is 2.36 centimeters and the amount of rainfall in Alperen's hometown is 15.19 centimeters.

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

6 times 3 is 18, so y is -3

Answer:

No, it's incorrect.

Step-by-step explanation:

The answer should be y = -10x + 7

Answer:

x = 4, (-2/3)

Step-by-step explanation:

3(x^2) – 10x = 8

3(x^2) – 10x - 8 = 0

(3x + 2)(x - 4) = 0

(3x + 2) = 0

3x = -2

x = (-2/3)

(x - 4) = 0

x = 4

Answer:

x = -2/3, 4

Step-by-step explanation:

move all terms to one side

3x^2 - 10x - 8 = 0

split the terms in 3x^2-10x-8 into two terms

3x^2+2x-12x-8=0

factor out common terms in first to and last to

x(3+2)-4(3x+2) =0

factor out common term 3x+2

(3x+2) (x-4)=0

solve for x

x=-2/3,4

Answer:

28

Step-by-step explanation: pls mark brainliest

Answer:

The answer is A.

Step-by-step explanation:

Just answered the question

Answer:

1st part x= -1+y

the 2nd..the value of 27-3=8 is 16=8 so the value is false. really hope this helps.

Answer:

x = 600 and 1.94!=0

Step-by-step explanation:

Answer:

X = 600

Step-by-step explanation:

This is the answer because:

1) All you have to do is just isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps! :D

Answer:

A and D are the only ones correct

Step-by-step explanation:

I did it

Answer: A D

Step-by-step explanation:

There u go

Yes thats it bru just submit