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2 years ago

2. Find the slope of the line that passes through the points A(0,2) and B(4,-1)

Mathematics

1 answer:

bogdanovich [222]2 years ago

6 0

Answer:

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.

Step-by-step explanation:

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Simplify <br> 3xy + 5x + 2 + 3y + x +4

lukranit [14]

Answer:

3xy+6x+3y+6

Step-by-step explanation:

This it simplified not ANSWERED

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3 years ago

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Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

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1 year ago

Read 2 more answers

The expression for the distance traveled is rt where r represents rate and t represents time.

astraxan [27]

I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:

3.5 x 550 = 1,925

The plane traveled 1,925 miles.

And with it, the answer would be:

3.5 x 550 = 1,925

35,000 ft = 6.6 mi

1,925 + 6.6 = 1,931.6

The plane traveled 1,931.6 miles.

Hope this helped a little at least.

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3 years ago

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SOVA2 [1]

Answer:

1: 75 degrees

2: 112 degrees

3: 125 degrees

4: 67 degrees

Step-by-step explanation:

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2 years ago

Mrs.Vega brought a new aquarium for her turtles. How much space will the turtles have in the aquarium if the length is 5.2 ft, t

MrRissso [65]

Answer:

18.72 cubic feet

Step-by-step explanation:

Volume of the aquarium = lwh

l = 5.2 ft,
w = 1.8 ft
h = 2 ft

V = 5.2*1.8*2 = 18.72 cubic feet

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3 years ago