Answer:
1
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
We will have 1 solution set when the lines cross once.
We will have no solutions when the lines are parallel.
We will have infinite solutions when the lines are the same.
According to the graph, we see that our lines only intersect once at 1 point. Therefore, there will be only 1 solution.
Turn them into mixed fractions first:
3 1/2 = 7/2 and 4 2/3 = 14/3
Then multiply the fractions:
7/2 x 14/3
Make sure you multiply the denominators together and multiply the numerators together, straight across.
7/2 x 14/3 = 98/6
Now simplify!
98/6 = 16 2/6 = 16 1/3
That’s your answer, 16 1/3
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
Answer:
r = 3
Step-by-step explanation:
The formula of a volume of a cone
V= 1/3 pie r^2 H
r - radius
H - height
We have V = 12π in³ and H = 4 in. Substitute:
