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4 years ago

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

1 answer:

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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Layla bought three skirts and five pairs of shorts for a total price of $112 at the same store is sent to you by four skirts and

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
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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