Answer:
y-intercept: (0, 12/5) or (0, 2.4)
x-intercept: (12/7, 0) or (1.714, 0)
Step-by-step explanation:
The y-intercept is the point where the graph crosses the y-axis. That means, the point (0, yi). To find yi, we have to substitute x by 0 in the equation.
7x + 5y=12
7*0 + 5y = 12
y = 12/5 = 2.4
y-intercept: (0, 12/5) or (0, 2.4)
The x-intercept is the point where the graph crosses the x-axis. That means, the point (xi, 0). To find xi, we have to substitute y by 0 in the equation.
7x + 5y=12
7x + 5*0 = 12
x = 12/7 = 1.714
x-intercept: (12/7, 0) or (1.714, 0)
Finally, the graph is shown below.
Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)
Step-by-step explanation:
- Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm
Volume = πr²h = 3.14 × 4² × 9.5
= 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³
let x =the number
Step-by-step explanation:
81+x=3x-39
group like terms
81+39=3x-x
120=2x
120/2=2x/2
60=x
therefore x =60
ANSWER
The greatest common factor is
EXPLANATION
We want to find the greatest common factor of
and
The prime factorizations are;
and
The product of the least powers of the common factors is the greatest common factor.
When you graph an equation, it should be dependent variable against the independent variable. For this problem, the independent variable is the time, so this is along the x-axis. The dependent variable is d, so this is along the y-axis. Since the slope is Δy/Δx, then it is also equivalent to Δd/Δt. Therefore, the answer is B.
