Answer:
y = 5
Step-by-step explanation:
That "+5" elevates the graph of this cosine function 5 units above the x axis, and thus the "midline" you wanted is y = 5.
Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!
Answer:
For every 1 liter of bleach there are 9 liters of water in the solution
Step-by-step explanation:
∵ The ratio of bleach to water in a cleaning solution is 2 : 18
- That means for every 2 liters of bleach there is 18 liters of water
∵ There is 1 liter of bleach
- Let us use the ratio method
→ bleach : water
→ 2 : 18
→ 1 : x
- By using cross multiplication
∴ x × 2 = 1 × 18
∴ 2 x = 18
- Divide both sides by 2
∴ x = 9
∵ x represents the number of liters of the water in the solution
∴ The number of liters of the water in the solution is 9
For every 1 liter of bleach there are 9 liters of water in the solution
Answer: -6
Step-by-step explanation:
Answer:
one segment could have a length of 15
second segment could have length of 25
Step-by-step explanation:
