Answer:
0.8 hours = 48 minutes per lawn
Step-by-step explanation:
10 lawns in 8 hours
hours per lawn 8/10 = 0.8 hours = 48 minutes
Answer:
- A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120
Step-by-step explanation:
<u>With the given zero's, the polynomial is:</u>
- P(x) = (x - 2√2)(x - √5)(x + 3)
<u>Open parenthesis in steps:</u>
1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10
2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =
x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =
x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10
This is not matching any options so we add two more zero's: -2√2 and -√5
<u>New polynomial looks like:</u>
- P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)
<u>Open parenthesis in steps:</u>
- 1. (x - 2√2) (x + 2√2) = x² - 8
- 2. (x - √5) (x + √5) = x² - 5
- 3. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 40
- 4. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120
- P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120
Answer:
116
Step-by-step explanation:
8 x 7 = 56
12 - 7 = 5
5 x 12 = 60
60 + 56 = 116
Answer:
5.38 units
Step-by-step explanation:
Because of the base angle theorem converse, This triangle is an isosceles triangle.
Because this is an isosceles triangle, because the leg of the triangle is 5.38 units, that means the other leg has to be 5.38 units
You may be asking, how do I know it's the other leg that's congruent.
Well, the angle opposite to the 90° angle is the hypotenuse, and we want the line segment opposite of the 45° angle. And both the legs are opposite to the 45° angles.
Let me know if you have any questions.
