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2 years ago

The coordinates of the points below represent the vertices of a rectangle.

Mathematics

2 answers:

s344n2d4d5 [400]2 years ago

8 0

Answer:

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of the 4 sides of a rectangle. Since in a rectangle opposite sides are congruent, you just need to find the lengths of any two adjacent sides because adjacent sides cannot be opposite. Then add them and multiply the sum be 2 to account for the opposites sides.

Two find the distance between any two points, you can use the distance formula. If the two points lie on the same vertical line (both points have the same x-coordinate), or if the two points lie on the same horizontal line (both points have the same y-coordinate), then just subtract the different coordinates and take the absolute value.

PQ = |2 - 6| = |-4| = 4

QR = |2 - 5| = |-3| = 3

perimeter = 2(length + width)

perimeter = 2(4 + 3)

perimeter = 2(7)

perimeter = 14

andrey2020 [161]2 years ago

5 0

Answer:

18 units

Step-by-step explanation:

5+5=10

4+4=8

8+10=18 units

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BigorU [14]

Answer:

c = 40d+20

Step-by-step explanation:

He has to pay 20 dollars and that can't multiply so the forty has to multiply and it would have to be by d because c is the total cost

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1 year ago

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Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.

Umnica [9.8K]

The statements and their individual answers are not provided in the question. However, please check the explanation given below for the equation.

Step-by-step explanation:

The equation given is $\frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 }$

Divide the leading term of the dividend by the leading term of the divisor: $\frac{2x^{4} }{2x^{2} } = x^{2}$

Multiply it by the divisor: $x^{2} ({2x^{2} -3x +1) = 2x^{4} - 3x^{3} + x^{2}$

Subtract the dividend from the obtained result: $(2x^{4} + 7x^{3} + 18x^{2} + 11x - 2) - (2x^{4} - 3x^{3} + x^{2} ) = (10x^{3} + 17x^{2} + 11x -2)$

Divide the leading term of the obtained remainder by the leading term of the divisor: $\frac{10x^{3}}{2x^{2} } = 5x$

Multiply it by the divisor: $5x (2x^{2} - 3x + 1) = 10x^{3} - 15x^{2} + 5x$

Subtract the remainder from the obtained result: $(10x^{3} + 17x^{2} + 11x -2) - (10x^{3} - 15x^{2} + 5x) = (32x^{2} + 6x - 2)$

Divide the leading term of the obtained remainder by the leading term of the divisor: $\frac{32x^{2} }{2x^{2} } = 16$

Multiply it by the divisor: $16 (2x^{2} - 3x +1) = 32x^{2} - 48x +16$

Subtract the remainder from the obtained result: $(32x^{2} + 6x - 2) - (32x^{2} - 48x +16) = 54x - 18$

Since the degree of the remainder is less than the degree of the divisor, then we are done.

Therefore, $\frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 } = (x^{2} + 5x +16 + \frac{54x - 18}{2x^{2} - 3x +1})$

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1 year ago

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50 POINTS!! PLEASE ASAP. The director of a local ballet company needs to print the programs for the next performance. Janet’s Pr

Maru [420]

For this case we find the expression that represents the cost of each printing press.

x: Be the variable that represents the number of programs to print

So:

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$C (x) = 0.25x + 35$

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$C (x) = 0.15x + 50$

If we want to find the number of programs for which the costs are the same, then we equate both equations:

$0.25x + 35 = 0.15x + 50\\0.25x-0.15x = 50-35\\0.1x = 15\\x = \frac {15} {0.1}\\x = 150$

Thus, for 150 programs the cost is the same.

Answer:

For 150 programs the cost is the same.

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2 years ago

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Noah is running a portion of a marathon at a constant speed of 6 mph. Complete the table to predict how long it would take him t

ycow [4]

Answer:

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Step-by-step explanation:

Noah's running speed = 6 mph.

Use formula $D=v\cdot t,$ where

D is the distance,

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If $t=1$ hour, then $D=6\cdot 1=6$ miles.

If $t=\dfrac{1}{2}$ hour, then $D=6\cdot \dfrac{1}{2}=3$ miles.

If $t=1\dfrac{1}{3}$ hours, then $D=6\cdot 1\dfrac{1}{3}=6\cdot \dfrac{4}{3}=8$ miles.

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If $t=9$ hours, then $D=6\cdot 9=54$ miles.

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So, the table is

$\begin{array}{cc}\text{Time}&\text{Distance}\\ \\1&6\\ \\\dfrac{1}{2}&3\\ \\1\dfrac{1}{3}&8\\ \\1\dfrac{1}{2}&9\\ \\9&54\\ \\4\dfrac{1}{2}&27\end{array}$

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2 years ago

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The sum of two numbers is 43. One number is five less than three times the other number. What is the largest number?

PolarNik [594]

Answer:

Step-by-step explanation:

Let the numbers be x and y.

"The sum of two numbers is 43." gives us the first equation.

x + y = 43

"One number is five less than three times the other number." gives us the second equation.

y = 3x - 5

Now we solve the system of two equations below.

x + y = 43

y = 3x - 5

Since the second equation is already solved for y, we will use the substitution method. We substitute 3x - 5 for y in the first equation.

x + y = 43

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The first number is 12. Now we find the second number.

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2 years ago

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