The diameter is the line in the middle of a circle. a semicircle is one of the sides of the diameter (half of the circle)
A) No solutions, because the number under the square root symbol in the quadratic equation (b^2 - 4ac) is negative.
B) One solutions, because the number under the square root symbol in the quadratic equation (b^2 - 4ac) is equal to 0.
Answer:
x = 27/10 or x = 2.7
Step-by-step explanation:
Step 1: Get rid of the denominator.
LCD of 4 & 3: 12
Multiply both sides by 12.
12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)
Reduce the numbers.
3 ( 2x - 1) + 4x = 24
Step 2: Distribute.
6x - 3 + 4x = 24
Step 3: Collect like terms.
6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)
10x = 27
Step 4: Solve for x.
Multiply both sides by 10.
10x / 10 = 27 / 10 (the 10 cancels out)
x = 27 / 10 or x = 2.7
Answer: x = 27 / 10 or x = 2.7
Answer:
minimum
Step-by-step explanation:
Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Whether the function is maximum or minimum can be determined by consideration of the sign of the coefficient a
• If a > 0 then minimum
• If a < 0 then maximum
For y = - 4 + 3x² the value of a is 3 > 0
Hence y = - 4 + 3x² is a minimum
Answer: x=3
Explanation:
Step 1: Combine like terms 7x-2=9x-8
Step 2: Put all variables on one side and all numbers on the other 2x=6
Step 3: Divide x=3
