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Anni [7]
4 years ago
14

4x-3y=30 3x+2y=22 (6,-2)

Mathematics
1 answer:
shusha [124]4 years ago
5 0

This ordered pair is not a solution for the given equations. We can tell this by plugging in to each of them and seeing that it does not provide a true statement for both. It does work for the first, but is not an intersection due to it not working for each.

4x - 3y = 30

4(6) - 3(-2) = 30

24 + 6 = 30 (TRUE)

3x + 2y = 22

3(6) + 2(-2) = 22

18 - 4 = 22

16 =/= 22 (FALSE)

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iren2701 [21]
I don't really know the answer sorry :/
5 0
3 years ago
Find the length of the side f .
algol13
I am pretty sure the answer is 10. Someone correct me if I'm wrong
10 {}^{2}  + 15 {}^{2}  = 18 {}^{2}  \\ 100 + 225 = 325 \\  \sqrt{325} = 18
3 0
3 years ago
Read 2 more answers
Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Lena [83]

Answer:

\sin\,\theta =-\frac{\sqrt{21} }{5}

\tan\,\theta =\frac{\sqrt{21} }{2}

\sec\,\theta = \frac{-5}{2}

cosec\,\theta =\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

3 0
3 years ago
The probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48 and of owning both is 0.45.
Vera_Pavlovna [14]

Answer:

The probability that the middle school student owns a skateboard or a bicycle is 0.61.

Step-by-step explanation:

We are given that the probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48, and owning both is 0.45.

A middle school student is chosen at random.

Let the probability of student owning a skateboard = P(S) = 0.58

The probability of student owning a bicycle = P(B) = 0.48

The probability of student owning both = P(S \bigcap B) = 0.45

Now, the probability that the middle school student owns a skateboard or a bicycle is given by = P(S \bigcup B)

        P(S \bigcup B) = P(S) + P(B) - P(S \bigcap B)

                      = 0.58 + 0.48 - 0.45

                      = 0.61

Hence, the probability that the middle school student owns a skateboard or a bicycle is 0.61.

4 0
3 years ago
What are 3 numbers whose product is about 9,000
Mice21 [21]
There are an infinite number of 3 number sets that will equal 9000, unless your looking for whole numbers.

If you want to find a set of whole numbers, first break 9000 into its factors:

5 * 5 * 5 * 3 * 3 * 2 * 2 * 2 = 9000

Now to find a set of 3 numbers, just combine some of the factors.
For example:

(5 * 5 * 5) * (3 * 3) * (2 * 2 * 2) = 9000
125 * 9 * 8 = 9000
6 0
3 years ago
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