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3 years ago

What is the point of intersection when the system of equations below is graphed on a coordinate plane? X-y=1 y-x=1

Mathematics

1 answer:

VMariaS [17]3 years ago

6 0

Lets reorder the equations

y = x - 1 (1)
y = x +1 (2)

Since both lines have the same slope (m = 1), then this is an inconsistent system with NO solution

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Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of

RUDIKE [14]

Answer:

Part a) $V=1,000\ ft^{3}$

Part b) $h=5\ ft$

Part c) $=718\ gal$

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

$V=LWH$

substitute the values

$V=(25)(8)(5)=1,000\ ft^{3}$

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$V=1,000\ ft^{3}$

$r=16/2=8\ ft$ ----> the radius is half the diameter

substitute and solve for h

$1,000=\pi (8)^{2} h$

$h=1,000/(64 \pi)$

$h=1,000/(64*3.14)=5\ ft$

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

Find the volume of water for $h=5-0.5=4.5\ ft$

$V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}$

the volume of water evaporated is equal to

$1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}$

convert to gallons

remember that

$1\ ft^{3}=7.5\ gal$

$95.68\ ft^{3}=95.68*7.5=718\ gal$

5 0

2 years ago

P and q are points on the line y=2-4X Draw the line y= 2-4X for vales of x from -2 to 2

pishuonlain [190]

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x: -2 -1 0 1 2

y: 10 6 2 -2 -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

8 0

2 years ago

How to write 3.4 in word form and expanded form

ANEK [815]

Answer

Part 1: Three and four tenths.

Part 2: 3.0 + 0.4

Explanation.

When writing numbers in words we must use the concept of place values. In this case for instance, the place value of 3 is ones and the place value of 4 is tenths hence called the "four tenths".

3.4 can be written as the sum of 3 and 0.4. So 3.4 in its expanded form is (3+0.4).

5 0

3 years ago

Read 2 more answers

Determine if the given sides are a triangle or not A. 21 cm, 7 cm, 6 cm

fgiga [73]

Answer:

This is not a triangle

Step-by-step explanation:

If you use the triangle inequality theorem you can reach your answer.

The theorem states that if you add the length of any 2 sides together, you will have a length greater than the length of the other side. Using this method we can easily see that 7+6=13 which is less than 21. Meaning this is not a triangle

4 0

2 years ago

If the area of a rectangle is 12cm2 what could be its length and width

jasenka [17]

There are many different combinations.

We just need two numbers that when you multiply them you get 12.

We can have:

Length = 1
Width = 12

Length = 12
Width = 1

Length = 2
Width = 6

Length = 6
Width = 2

Length = 3
Width = 4

Length = 4
Width = 3

7 0

3 years ago

Read 2 more answers