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3 years ago

Name the quadrant in which the point (-4, -3) could be found on the coordinate plane

Mathematics

1 answer:

lesantik [10]3 years ago

5 0

On the negative plane field? because everything on the - side is negative.

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Given:

lys-0071 [83]

Answer:

$PS=13\text{ units}$

Step-by-step explanation:

So, we know that PR is 20, SR is 11, and QS is 5.

We also know that PQ is perpendicular to QR, forming the right angle at ∠Q.

We know all the side lengths except for PQ and PS (the one we want to find). Notice that if we find PQ first, we can then use the Pythagorean Theorem to find PS since we already know QS.

So, let's find PQ.

We can see that we can also use the Pythagorean Theorem on PQ. PQ, QR, and PR (the hypotenuse) will be our sides. So:

$(PQ)^2+(QR)^2=(PR)^2$

We know that PR is 20.

QR is the combined length of QS+SR, so QR is 5+11 or 16.

So, substitute:

$(PQ)^2+(16)^2=(20)^2$

Solve for PQ. Square:

$(PQ)^2+256=400$

Subtract 256 from both sides:

$(PQ)^2=144$

Take the square root of both sides:

$PQ=12$

So, the side length of PQ is 12.

Now, we can use the Pythagorean Theorem again to find PS. Notice that PQ, QS, and PS also form a right triangle, with PS being the hypotenuse. So:

$(PQ)^2+(QS)^2=(PS)^2$

We already know that QS is 5. We also just determined that PQ is 12. Substitute:

$(12)^2+(5)^2=(PS)^2$

Square:

$144+25=(PS)^2$

Add:

$169=(PS)^2$

Take the square root of both sides:

$PS=13$

Therefore, the length of PS is 13 units.

And we're done!

7 0

4 years ago

An aquarium sells five stuffed animal sharks for $64.95. What is the cost of eight stuffed animal sharks? I really need to know

DedPeter [7]

We know the value of five stuffed sharks is $64.95.

Now, to find the value of 8 we need to find the unit value.

Divide $64.95 by 5.

64.95/5 = 12.99

The unit price is 12.99, and now we can solve for the value of 8.

12.99 * 8 = $103.93

<h3>Eight stuffed sharks costs $103.93</h3>

8 0

3 years ago

I-Ready

julsineya [31]

i have this exact screen and i dont know the answer

8 0

3 years ago

Can someone please help with this

finlep [7]

Answer:

47 bpm

Step-by-step explanation:

Draw a trend line (attached).

Reading from the graph, the resting hear rate, in bpm, of a person who exercises an average of 8 hours a week is approximately 47.

The only scatter plot that suggests a linear relationship between x and y is graph B (see second attachment) as the trend line is a straight line.

4 0

2 years ago

HELP ME PLEASEEEEEEEEE

OLEGan [10]

Answer:

116 c

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers