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Setler [38]
4 years ago
15

Solve this problem for me plz

Mathematics
1 answer:
Anastaziya [24]4 years ago
3 0
Answer for the first box: 38
Answer for the second box: -3

=========================================

Explanations:

To get the first answer, you plug in x = 0 to reflect were at the surface (height is 0)
38-3x = y
y = -3x+38
y = -3*0+38
y = 38
So the temperature at the surface is 38 degrees Celsius

--------------------

Each time x increases by 1 km, y decreases by 3 degrees C. How do we know? Because of the slope m = -3

Note how y = -3x+38 is in the form y = mx+b
m = -3 = -3/1 is the slope
slope = rise/run = -3/1
the "rise" being negative is really a fall or decrease. As we rise higher, the temperature goes down which is expected (It's colder higher up in the atmosphere)
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What is 8x - 6 - 7x + 10
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Simplifying

8x + -6 = 7x + 10

Reorder the terms:

-6 + 8x = 7x + 10

Reorder the terms:

-6 + 8x = 10 + 7x

Solving

-6 + 8x = 10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-6 + 8x + -7x = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x

-6 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0

-6 + 1x = 10 + 0

-6 + 1x = 10

Add '6' to each side of the equation.

-6 + 6 + 1x = 10 + 6

Combine like terms: -6 + 6 = 0

0 + 1x = 10 + 6

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Combine like terms: 10 + 6 = 16

1x = 16

Divide each side by '1'.

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Simplifying

x = 16

HOPE I HELPED!!! :)

8 0
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Which of the following ratios is not equivalent to the other three 2/3 4to6 8to12 4/5
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3 years ago
Point W(5, -6) is reflected across the line y = -x. Which of the following is the location of its image, W’.
VashaNatasha [74]
<h3>Answer:</h3>

<em>(6, -5)</em>

<h3><u>Key Concepts for Reflections:</u></h3>
  • if (a, b) is reflected on the <em>x-axis</em>, the image is the point <em>(a, -b)</em>
  • if (a, b) is reflected on the <em>y-axis</em>, the image is the point <em>(-a, b)</em>
  • if (a, b) is reflected on the line<em> y = x</em>, the image is the point <em>(b, a)</em>
  • if (a, b) is reflected on the line <em>y = -x</em>, the image is the point <em>(-b, -a)</em>

<em />

<u><em>(5, -6) --> (-5, 6)</em></u>

<u><em /></u>

<em>Hope this helps!!</em>

<em>I'd right the key concepts for future reference! </em>

<em>:D</em>

<em />

<em />

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