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Assoli18 [71]
2 years ago
15

6. Find the value of x in the triangle below.

Mathematics
1 answer:
Kobotan [32]2 years ago
4 0

Answer:

The value of x is 21.

Step-by-step explanation:

Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :

(x + 3)² + 10² = (x + 5)²

x² + 6x + 9 + 100 = x² + 10x + 25

x² + 6x + 109 - x² - 10x - 25 = 0

-4x + 84 = 0

-4x = -84

4x = 84

x = 84 ÷ 4

x = 21 units

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5 0
3 years ago
A figure is located entirely in the third quadrant. If you reflect it over y = 0. Which quadrant will the resulting figure lie i
Varvara68 [4.7K]

Answer: Quadrant 2

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

Explanation:

Check out the diagram below. An example point in the third quadrant is (-2,-5). This quadrant is the southwest quadrant. Reflect the example point over the x axis (aka the line y = 0) and we get (-2,5). This is shown when we go from point A to point B in the diagram.

The reflection rule is (x,y) \to (x,-y) showing that only the y coordinate changes from y to -y. If y is negative, then flip to positive, or vice versa. The x coordinate stays the same.

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Side note: all points on the line y = 0 have a y coordinate of 0

5 0
3 years ago
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vova2212 [387]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
Simplify.
Alenkasestr [34]
Answer is <span>C) 1/4^2
hope it helps</span>
7 0
3 years ago
Can someone help me please?!?
Damm [24]

Answer:

k=10

Step-by-step explanation:

g(x)=2x^2+ kx+18

when x=-2

g(-2)=2 (-2)^2 -2k +18

Since when x is -2, y =6

6=2 (-2)^2 -2k +18

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k=10

7 0
3 years ago
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