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MrRissso [65]
2 years ago
13

PQ=2x+1 and QR=5x-44; Find PR

Mathematics
1 answer:
Dima020 [189]2 years ago
4 0

Answer:

x=15

Step-by-step explanation:

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

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The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the sa
Aleksandr [31]

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

3 0
2 years ago
a rectangle pyramid fits exactly on top of a rectangular prism. the prism has a length of 18 cm, a width of 6 cm, and a height o
irina1246 [14]
To find the volume of the prism you are going to use the formula  V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.

Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3

Upon simplifying that you get 540.

Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512



I recommend drawing it out... it helps a lot:)
4 0
2 years ago
Juan buys 2.8 pounds of turkey. The turkey costs $4.55 for each pound. How much does Juan spend for the turkey?
nadya68 [22]

Answer:12.75

Step-by-step explanation:

2.8X4.55

4 0
2 years ago
Read 2 more answers
After watching the video below, explain what is happening in your own words. What percent of the original dollar size will the 4
RSB [31]

Answer:

is there an image or something idk the vid

6 0
2 years ago
A band director uses a coordinate plane to plan as how for a football game. During a show, the drummers will march along the lin
LenaWriter [7]

Answer:

The equation in slope-intercept form for the path of the trumpet players is y=\frac{x}{5}+\frac{12}{5}.

Step-by-step explanation:

Consider the provided information.

The drummers will march along the line y=-5x-8.

The trumpets players will march along a perpendicular line that passes through (-2,2).

The slope of line y=-5x-8 is: m₁ = -5.

The slope of perpendicular lines are: m_1\times m_2=-1

-5\times m_2=-1

m_2=\frac{1}{5}

Hence, the slope of the line should be 1/5.

The line passes through (-2,2).

Now use point slope form to find the equation of line.

y-y_1=m(x-x_1)

Substitute m=1/5, x₁=-2 and y₁ = 2 in above formula.

y-2=\frac{1}{5}(x+2)

y-2=\frac{x}{5}+\frac{2}{5}

y=\frac{x}{5}+\frac{2}{5}+2

y=\frac{x}{5}+\frac{12}{5}

Hence, the equation in slope-intercept form for the path of the trumpet players is y=\frac{x}{5}+\frac{12}{5}.

4 0
2 years ago
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