The upper-left coordinates on the a rectangle are (-4,4), and the upper-right coordinates are (4,4). The rectangle has a perimeter of 20 units

Answers

Answer 1

Answer:

Step-by-step explanation:

im pretty sure this is it.

you would have to count the units between the two pints given and count it twice (since a rectangles opposite side are equal)

Answer 2

Answer:

To solve this problem, firstly, let's find the width of the rectangle. The width of the rectangle is the horizontal distance between the upper-left and upper-right points. In the Cartesian coordinate system, this simply means taking the difference between the x-coordinates of these points. We find the difference between 4 (x-coordinate of upper-right point) and -4 (x-coordinate of upper-left point). This gives us 8 units, which is the width of our rectangle.

Now that we know the width, we can proceed to find the length. We know that the perimeter (total distance around the rectangle) is given by the formula 2L + 2W, where L is the length and W is the width of the rectangle.

We know that the perimeter is 20 units and the width is 8 units.

We can substitute these values into the formula and solve for L (the length):

20 = 2L + 2*8

Simplifying the right side gives us:

20 = 2L + 16,

Subtracting 16 from both sides gives us:

4 = 2L

Finally, divide both sides by 2 to solve for L:

L = 2 units.

So, the

Answer: width of the rectangle is 8 units and the length is 2 units.

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A ski club charges nonmembers $48 per session plus ski rental fee of $24 per session. A memeber pays a monthley fee of $384 plus a ski rental fee of $8 per session. how many sessions would both a memeber and nonmember have to ski in order to pay the same amount?

Answers

Answer:

Step-by-step explanation:

Let x be the number of sessions required.

We have (48 + 24)x = 384 + 8x.

=> 72x = 384 + 8x

=> 64x = 384

=> x = 6.

An inlet pipe on a swimming pool can be used to fill the pool in 40 hours. The drain pipe can be used to empty the pool in 45 hours. If the pool is 14 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.

Answers

Answer:

It would take 90 hours to fill the pool.

Step-by-step explanation:

There is a mistake in the question so it is corrected below:

An inlet pipe on a swimming pool can be used to fill the pool in 40 hours. The drain pipe can be used to empty the pool in 45 hours. If the pool is 1/4 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool?

Now, to find the hours would it take to fill the 1/4 pool.

Let the hours it take to fill the $(1)/(4)$ pool be $h.$

A swimming pool can be used to fill the pool in 40 hours.

So, the rate of filling the pool = $(1)/(40)$ .

As, given the drain pipe can be used to empty the pool in 45 hours.

Thus, the rate of draining the pool = $(1)/(45)$ .

According to question:

$(1)/(40) -(1)/(45) =((1)/(4))/(h)$

$(1)/(40) -(1)/(45) =(1)/(4h)$

$(45-40)/(1800) =(1)/(4h)$

$(5)/(1800) =(1)/(4h)$

Using cross multiplication:

$20h=1800$

Dividing both sides by 20 we get:

$h=90\ hours.$

Therefore, it would take 90 hours to fill the pool.

5p-14=8p+4 step by step

Answers

$5p-14=8p+4\n 3p=-18\n p=-6$

$5p-14=8p+4\ \ \ \ |add\ 14\ on\ both\ sides\n\n5p=8p+18\ \ \ \ |substract\ 8p\ from\ both\ sides\n\n-3p=18\ \ \ \ |divide\ both\ sides\ by\ (-3)\n\np=-6$

X-y+z=-4

3x+2y-z=5

-2x+3y-z=15

How do I solve this?

Answers

$1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\n\n2)\ \ \ 3x+2y-z=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y+4+x-y=5 \n.\ \ \ \ \Rightarrow\ \ 4x+y=1\n\n3)\ \ \ -2x+3y-z=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y-(-4-x+y)=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y+4+x-y=15\n.\ \ \ \ \Rightarrow\ \ -x+2y=11\n--------------------\n$

$z=-4-x+y\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\n \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \n\n\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \n-------\ny+8y=1+44\n9y=45\ /:9\ny=5\n\n-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\n\nz=-4-x+y=-4-(-1)+5=-4+1+5=2\n\nAns.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2$

Determine the quotient of 1/3/4 divided by 2/5

Answers

Answer:

First turn any mixed numbers into improper fractions. 1 3/4 would be 7/4. Becuase you multiply the whole number by the denominator and then add the numerator.

So now you have 7/4 divided by 2/5. Whenever you divide, you flip the 2nd fraction upside down... known as the reciprocal. And after that you multiply the first number by the upside down 2nd number.

So now you have 7/4 X 5/2. When multiplying, just multiply the numerators across and the denominators across. As your answer, you get 35/8 or 4 3/8.

Step-by-step explanation:

Answer:

35/8 or 4 3/8

Step-by-step explanation:

whatever works for you. but when you use a caucalater you get 35/8.

What has at least one right angle but is not a square

Answers

There is a Right Triangle

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