This problem is asking you to apply the *Pythagorean Theorem*, given the information you’ve been given.
In case you’ve forgotten, the Pythagorean Theorem states that, in any given right triangle, the sum of the squares of the lengths of its legs is equal to the square of the length of its hypotenuse (the side opposite its right angle). If we call the lengths of the legs a and b, and the length of the hypotenuse c, this can be expressed in notation as a^2+b^2=c^2 (it doesn’t matter in this case which leg you pick for a and which you pick for b). Here, if we choose the left leg as a and the bottom leg as b, we’re given that a^2 (the area of a square with sides of length a) is 25 sq. in, and b is 3.5 in. Plugging those values into the equation, we have:
25 + (3.5)^2 = c^2
From here, you don’t even need to solve for c, you just need to find the value of c^2 (since you’re trying to find the area of a square with side lengths c). Just solve the left side of the equation, and you’ll have your answer in square inches.
(a)
If by "age in years" you mean that you only consider whole years, then this is not a one-to-one function, because you will have the same output for 365 inputs:
- If you're 0 to 364 days old, your age in years is 0
- If you're 365 to 729 days old, your age in years is 1
- ....
So, you can see that it is not true that every different input yields a different output.
(b)
This is a one-to-one function: since one mile is 1.609 kilometers, you can convert miles per hour into kilometers per hour by multiplying by 1.609:
x mph = 1.609x km/h
The inverse function would be
x km/h = x/1.609 mph.
Answer:
-3 < x < 1 or x > 6
Step-by-step explanation:
To solve x² - 7x + 6 > 0 and 2x + 7 > 1
please see attached for step-by-step
Answer:
13 (c)
Step-by-step explanation:
Graph the equation 7000(1-0.19)^x and then the inequality y<500, the point of intersection should be 12.524, so the answer will be rounded up to 13 i think
Rewrite the equation in slope-intercept form
5x -2y = 28
Subtract 5x from both sides
-2y = -5x + 28
Divide both sides by -2
Y = 5/2x -14
The y intercept is -14