Answer:
Y = 12
Step-by-step explanation:
x + 1/3y = 4
Multiply both sides of the equation by 3.
3 ⋅ 1
3 ⋅ y = 3 ⋅ 4
Simplify both sides of the equation:
1. Simplify both sides of the equation.
2. Multiply 3 by 4
How to simplify:
Cancel the common factor of 3
Rewrite the expression.
Multiply by 1
y = 3 ⋅ 4
Multiply 3 by 4
(12)
9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
The Pythagorean theorem applies:
(12 cm)² +b² = (17 cm)²
b² = (289 -144) cm² = 145 cm²
b = √145 cm ≈ 12.04 cm
b ≈ 12.0 cm . . . . rounded to 1 decimal place
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1 / x2 - x1, where you subtract the first x and y-coordinates from the second x and y-coordinates. In other words, the order that the coordinates show up for this problem will be used in that order. For this case, here are the numbers that will be used for each.
y2: 5
y1 : -33
x2: 47
x1: -19
Let's plug it in to get 5 - (-33) / 47 - (-19). Now, let's subtract. Just by looking at the numbers, we will actually be adding the numbers, because when you add a negative number, you actually add. So 5 + 33 is 38. 47 + 19 is 66. 38/66 is 19/33 in simplest form. There. The slope of the line is 19/33.
For this case we have the following functions:

If we want
then:

We take common factor x:

Thus, the values of x that make equality equal are:

Thus, the values of x for which
are 0 and 2.
ANswer:
The values of x for which
are 0 and 2.
To determine the time it takes for the maximum height to be achieved, derive the equation and equate to zero.
h = -16t² + 112t + 30
dh / dt = 0 = 2(-16)t + 112
The value of t is 3.5 s. Substitute this value of time to the equation for h,
h = -16 x (3.5 s)² + 112 x 3.5 s + 30 = 226 ft
Thus, the answer is letter D.