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Marrrta [24]
3 years ago
13

Please help me you guys

Mathematics
1 answer:
Neko [114]3 years ago
3 0

Answer:

g(x) = |x+3| - 5

Step-by-step explanation:

Let y = f(x)

⇒y = |x+3|

When y is replaced by Y + k, the graph of y = f(x) shifts k units down

⇒ y replaced by Y + 5 translates the graph of y = f(x) 5 units down

∴ Y = g(x) is represented by Y + 5 = |x+3|

⇒ Y = |x+3| - 5

or <u>g(x) = |x+3| - 5</u>

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The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of 6.6 km and 3.9 km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, a^{2}+b^{2} =c^{2}, where a and b are the lengths of the triangle's legs and c is the length of the triangle's hypotenuse. In this case, we know what a and b are, and we need to solve for c, so after substituting the given values of a and b into a^{2}+b^{2} =c^{2} to solve for c, we get:

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