The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are sides not opposite to the right angle, shown as a square. C represents the hypotenuse, or side opposite of the right angle
We see that a = 14 (it can also be b; both can be plugged in as both are adjacent and not opposite of the right angle)
c = 19; hypotenuse is opposite of right angle
14^2 + b^2 = 19^2
196 + b^2 = 361
b^2 = 361 - 196
b^2 = 165
b = square root of 165
b = 12.845
x = 12.845
Answer:
f(x) = A*∛(x + 2) + 3
Step-by-step explanation:
Suppose a generic cube as:
f(x) = A*∛(x - b) + C
We will have a turning point at the x value:
x = b
Then if we have a turning point at (-2, 3)
This means that the turning point is at x = -2 and y = 3
Then b = -2
And our cube root function will be something like:
f(x) = A*∛(x - (-2)) + C
f(x) = A*∛(x + 2) + C
And we know that f(-2) = 3
then:
f(-2) = A*∛(-2 + 2) + C = 3
f(-2) = A*∛(0) + C = 3
= C = 3
Then the general equation will be something like:
f(x) = A*∛(x + 2) + 3
Answer: i hope you do great! grades don’t define you :)
Step-by-step explanation:
Do a long division
the quotient comes to
5z^2 + 19z - 4
this factors to
(5z - 1)(z + 4)
so factors are (z+3)(z+4)(5z-1)
Given:
product of 2 numbers is 450.
first number is half the second number.
Let us make our own equation based on the given data.
Let x and y be the two numbers.
y * x = 450
y is the 1st number. It is said that it is half the second number, x.
y = 1/2 * x = x/2
Let us substitute y of the 1st equation by its value in the second equation.
x/2 * x = 450
x² / 2 = 450
x² = 450 * 2
x² = 900
√x² = √900
x = 30
The value of x, the 2nd number, is 30.
y = x/2 = 30/2 = 15
The value of y, the 1st number, is 15.
To check:
y * x = 450
15 * 30 = 450
450 = 450