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choli [55]
3 years ago
5

Suppose Rm (3,-4)=(1,1) and Rn (1,1)=(-5,16) Is m || n? Explain.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0
To determine if the given pair of lines are parallel, we are to calculate first for their slopes through the equation,
                                        m = (y₂ - y₁) / (x₂ - x₁)
Rm (3, -4) and (1,1)
                                       m = (1 --4) / (1 - 3) = -5/2
Rn (1,1) and (-5,16)
                                       m = (16 - 1) / (-5 -1) = -5/2
Since the lines have the same slope, then they are parallel. The answer is true. 
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Find the area of the figure. If needed, round to the nearest tenth.
Umnica [9.8K]

Answer:

18 \:ft^2

Step-by-step explanation:

The area of a trapezoid.

(a+b)h\frac{1}{2}

(8+4)3 \times \frac{1}{2}

(12)3 \times \frac{1}{2}

36 \times \frac{1}{2}

=18

6 0
3 years ago
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9 is this correct
faust18 [17]

Answer:

No!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! NO NO NO NO NO... SEE BELOW!!!!!!

Step-by-step explanation:

LOL I like caps!!! and !'s

To question

If 5x3 is 5x^3 then...

5x^3 times 2 equals 10x^3 no 10x^6

So the end result will be 10x^3\\ + 9

5 0
3 years ago
Can someone please help me with math.
valentina_108 [34]
The first one is B hope this helps
6 0
3 years ago
In 1993, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic mod
jeyben [28]

Answer:

1999

Step-by-step explanation:

y  = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17

verify with known data point

y  = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17

y  = 0.2313(12)^2 + 2.600(12) + 35.17

y  = 27.9873 + 28.6 + 35.17

y = 99.6772  which verifies our equation

65 = 0.2313x² + 2.6x + 35.17

 0 = 0.2313x² + 2.6x - 29.83

quadratic formula

x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))

x = (-2.6 + 5.86) / 0.4626 = 7.05 years

7.05 = y - 1992

y = 1999.05

8 0
2 years ago
Please please please help me. I have no idea what to do
rewona [7]
We have a bunch of rectangles making up the lateral sides of this figure. They have side length 12 and height 13.

So the area of one rectangle is 12 x 13 = 156.
We have 6 of these rectangles, so our lateral area is 6(156) = 936.

The total surface area requires that we include the area of the base. To find the area of a regular polygon we take half of the product of the apothem and perimeter.

A = (1/2)*a*p

The apothem is given to be 10.39,
and the perimeter is fairly easy to calculate:
With the side length being 12, the perimeter is then 6(12) = 72.

So then the area of our base is (1/2)*10.39*72 = 374.04

So then the total surface area is the (base area) + (lateral area),
374.04 + 936 = 1310.04
3 0
3 years ago
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