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yan [13]
3 years ago
6

The points (12, 23) and (14, 45) lie on a line. What is the slope of the line?

Mathematics
1 answer:
ozzi3 years ago
5 0

Answer:

slope= 11

Step-by-step explanation:

(12,23) = (x1,y1)

(14,45) = (x2,y2)

Now,

slope(m)= (y2-y1)/(x2-x1)

=(45-23)/(14-12)

=22/2

=11

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The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box
SSSSS [86.1K]

Answer:

2952 square centimeters are needed to cover the exterior of the box.

Step-by-step explanation:

We need to cover five external faces of the box. The surface area formula (A_{s}), measured in square centimeters, is derived from surface area formula for parallelpiped:

A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h (1)

Where:

w - Width, measured in centimeters.

l - Length, measured in centimeters.

h - Height, measured in centimeters.

If we know that w = 36\,cm, l = 23\,cm and h = 18\,cm, then the outer surface area of the storage is:

A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)

A_{s} = 2952\,cm^{2}

2952 square centimeters are needed to cover the exterior of the box.

5 0
3 years ago
how do graphs of y=1/x and y=5/(x+6) compare? I know the second graph shifts to left by 6 units but does it move down and how ma
yawa3891 [41]
<span>By multiplying the first function with number 5, the graph will stretch by the order of five, meaning that in the second graph every value of the x will correspond to the 5 times bigger value of y than in the first case. Due to the +6 component, the second graph shifts to the left by 6 units.</span>
4 0
3 years ago
Find the percent of change from the first value to the second. 72: 81 -
nordsb [41]

Answer:

+12.5%

Step-by-step explanation:

This is rather simple. Subtract 72 from 81, then put the difference over 72. Then, multiply that by 100.

(81 - 72)/72 * 100

<em>Subtract 72 from 81 to get 9</em>

9/72 * 100

<em>Multiply 9 by 100 to get 900</em>

900/72

<em>Simplify the above fraction by cancelling out 9.</em>

100/8

<em>Divide 100 by 8 to get 12.5%</em>

The percent of change is +12.5%

5 0
3 years ago
A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child
baherus [9]

Answer:

System of linear equations

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

a: adult ticket price and c: child ticket price

Step-by-step explanation:

This system of equations can be used to find the price of the adult and child tickets.

We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).

Let a: adult ticket price and c: child ticket price,

we have for the first day that 3 adult tickets and 1 child ticket adds $38:

3a+1c=38

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

3a+2c=52

If we write this as a system of equations, we have:

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

4 0
3 years ago
If one of the non-right angles in a right triangle is equivalent to an angle in another right triangle, what can you say about t
Vitek1552 [10]
The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side
7 0
3 years ago
Read 2 more answers
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