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Lena [83]
2 years ago
7

Find the slope 3,3 and 1,8​

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
4 0

Answer:

-5/2

Step-by-step explanation:

slope=y2-y1/x2-x1

8-3/1-3

5/-2

-5/2

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21²/0.219 to 2 significant figures​
Oksanka [162]
21^2/0.219 = 2013.69863
2 significant figures are the 20, so the answer is 2000
3 0
2 years ago
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Given a vertical asymptote at x=0 and a horizontal asymptote at y=2, which values of x should be used to determine coordinate?
vodka [1.7K]

The y and a coordinated go left

5 0
3 years ago
The nth term of a sequence is 2n2 + 1 The nth term of a different sequence is 65 - 2n2. Show that there is only 1 number that is
HACTEHA [7]

Answer:

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

n^{th}\text{ term: } 2n^2 + 1

Sequence 2:

n^{th}\text{ term: } 65 - 2n^2

Equating the two terms, we get,

2n^2 + 1 = 65 - 2n^2\\4n^2 = 64\\\\n^2 = \dfrac{64}{4}\\\\n^2 = 16\\n = \pm 4

Since, n cannot take a negative value, we get n = 4.

Thus, there is only 1 common term both the series have for n = 4.

Common term:

2(4)^2+ 1 - 65-2(4)^2 = 33

Thus, the only common term is 33.

8 0
3 years ago
5. (9) Letf- ((-2, 3), (-1, 1), (0, 0), (1,-1), (2,-3)) and let g- ((-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)j. Find: a. (g f (0
pashok25 [27]

Answer:  g(f(0)) = 2 and  (f ° g)(2) = -3.

Step-by-step explanation:  We are given the following two functions in the form of ordered pairs :

f = {(-2, 3), (-1, 1), (0, 0), (1,-1), (2,-3)}

g = {(-3, 1), (-1, -2), (0, 2), (2, 2), (3, 1)} .

We are to find g(f(0))  and   (f ° g)(2).

We know that, for any two functions p(x) and q(x), the composition of functions is defined as

(p\circ q)(x)=p(q(x)).

From the given information, we note that

f(0) = 0,  g(0) = 2,  g(2) = 2  and  f(2) = -3.

So, we get

g(f(0))=g(0)=2,\\\\(f\circ g)(2)=f(g(2))=f(2)=-3.

Thus,  g(f(0)) = 2 and  (f ° g)(2) = -3.

8 0
3 years ago
A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8
Rashid [163]

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of  triangular prism = Area of triangle \times height

432 = Area of triangle \times8

Dividing both side by 8

54 = Area of triangle

54 =  \frac{1}{2} \times base \times height

54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height

Multiplying both side by 2

108 = 12 \times height

Dividing both side by 12

9 = height

Thus, height of the triangular base of the prism is 9

3 0
2 years ago
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