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oksian1 [2.3K]
3 years ago
13

.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y<3x+5,y=3x+5 or y >3x+5..​

Mathematics
1 answer:
natima [27]3 years ago
3 0

Given:

The point is (-2,4).

To find:

Whether the point (-2,4) satisfy y or y >3x+5.​

Solution:

We have a point (-2,4).

Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.

3x+5=3(-2)+5

=-6+5

=-1

-1 is less than 4.

3x+5

3x+5

In can be written as

y>3x+5

Therefore, the given point (-2,4) satisfy y >3x+5.

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Step-by-step explanation:

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Find the midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9)
JulsSmile [24]

The midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9) is \left(\frac{-9}{2}, \frac{-3}{2}\right)

<u>Solution:</u>

Given, two points are (-6, 6) and (-3, -9)

We have to find the midpoint of the segment formed by the given points.

The midpoint of a segment formed by \left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right) is given by:

\text { Mid point } \mathrm{m}=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

\text { Here in our problem, } x_{1}=-6, y_{1}=6, x_{2}=-3 \text { and } y_{2}=-9

Plugging in the values in formula, we get,

\begin{array}{l}{m=\left(\frac{-6+(-3)}{2}, \frac{6+(-9)}{2}\right)=\left(\frac{-6-3}{2}, \frac{6-9}{2}\right)} \\\\ {=\left(\frac{-9}{2}, \frac{-3}{2}\right)}\end{array}

Hence, the midpoint of the segment is \left(\frac{-9}{2}, \frac{-3}{2}\right)

6 0
3 years ago
Please help me<br>simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B32%20-%20%20%5Csqrt%7B50%7D%20%7D%20" id="TexFormul
Mnenie [13.5K]

Answer:

\sqrt{32-5\sqrt{2} }

Step-by-step explanation: I hope it helps :)

\sqrt{32-\sqrt{50} } \\\\simplify \: \sqrt{50} \:to \:5\sqrt{2}  \\\\= \sqrt{32-5\sqrt{2} } \\\\Decimal Form: 4.992888

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If 8 gallons of gas cost $40, how much does 10 gallons of gas cost
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8 costs 40 so 10 costs | 40 / 8 = ( 5*2=10) So your answer is 50 Dollars. 
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