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Monica [59]
3 years ago
7

Using the formula find the slope of a line with the points (10,20) and (30,50).

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

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The drama club is selling tickets for a play. The profit, y, is
Goshia [24]

Answer:

80 tickets

Step-by-step explanation:

Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of  tickets, x, that need to be sold for the drama club to break  even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;

y = x^2 – 40x – 3,200,

0 = x^2 – 40x – 3,200,

x^2 – 40x – 3,200 = 0

x^2 – 80x  + 40x – 3,200 = 0

x(x-80)+40(x-80) = 0

(x+40)(x-80) = 0

x = -40 and x = 80

x cannot be negative

Hence the total number of  tickets, x, that need to be sold for the drama club to break  even is 80 tickets

8 0
3 years ago
the base of the pyramid in the diagram is a regular hexagon. The length of each side of the hexagon is 6 ft and the height of th
miss Akunina [59]

Answer:

The volume of the pyramid is V=187\ ft^{3}

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base of the pyramid

H is the height of the pyramid

we have

B=93.5\ ft^{2}

H=6\ ft

substitute

V=\frac{1}{3}(93.5)(6)=187\ ft^{3}

5 0
3 years ago
Read 2 more answers
The window in mr. Rodriguez’s attic is in two parts, each shaped like a trapezoid and each with identical dimensions
True [87]

easy way...

multiply Base x height (for both)

30 inches x 12 inches = 360 in

16 in. x 12 in = 192 in.

then add both

360 + 192 = 552

A=552 in²

8 0
3 years ago
Find the Volume of a cude with side lengths 3w^4 *
-BARSIC- [3]

Answer:V=27

Step-by-step explanation:

6 0
2 years ago
The statement "one-eighth the age, a" can be expressed algebraically as ?
Harrizon [31]

Answer:

1/8a

Step-by-step explanation:

4 0
2 years ago
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