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3 years ago

Need help on these questions ASAP DUE TOMORROW PLEASE

Mathematics

1 answer:

Shkiper50 [21]3 years ago

3 0

9514 1404 393

Answer:

3) D

4) D

5) B

6) B

Step-by-step explanation:

3) A "Pythagorean triple" is a set of 3 integers that could be the sides of a right triangle. The only triangle shown with integer side lengths is choice D.

5) The only triangle for which the square of the hypotenuse is the sum of the squares of the other two sides is choice D.

11² +2² = (5√5)²

121 + 4 = 125

6) The lengths of sides of each right triangle are 2/3 of those of choice D in problem 4. That is, they are a 7-24-25 triangle, multiplied by 2. That means the height is 24·2 = 48, and the area is ...

A = 1/2bh

A = 1/2(28 m)(48 m) = 672 m² . . . . matches choice B

7) The side lengths of a 30-60-90 triangle have the ratios 1 : √3 : 2. That is, the short leg is half the hypotenuse, a fact stated in A and D. Those true statements make it clear that statement B is false.

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Answer:

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Step-by-step explanation:

Average rate A(x) of change for a function f(x) over [a, b] is given by:

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we have to find the average rate of change from x = -1 to x = 4

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and

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Substitute these in [1] we have;

$A(x) = \frac{f(4)-f(-1)}{4-(-1)}$

⇒ $A(x) = \frac{4-(-1)}{4+1}$

⇒ $A(x) = \frac{5}{5}$

Simplify:

A(x) = 1

Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1

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