Answer:
We conclude that the area of the right triangle is:
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1
Therefore, we conclude that the area of the right triangle is:
Hence, option A is correct.
Answer:
steps below
Step-by-step explanation:
x⁶ - 7x³ - 8 = (x⁶ + x³) - (8x³ + 8)
= x³ (x³+1)-8(x³+1)
= (x³ - 2³)(x³ + 1)
= (x-2)(x²+2x+4)(x+1)(x²-x+1)
(x-2)(x²+2x+4)(x+1)(x²-x+1) = 0
<u>x= -1 or x = 2</u> ... roots
or x²+2x+4=0 or x²-x+1=0
x²+2x+4=0
x = (-2±√4-16)/2 = <u>-1 ± √3 i</u> ... complex roots
x²-x+1=0
x = (1±√1-4)/2 = <u>1/2 ± (√3)i / 2</u> ... complex roots
<u />
b) P(x) = x⁶ - 7x³ - 8
= <u>(x-2)(x²+2x+4)(x+1)(x²-x+1)</u>
= (x+1)(x-2)(x-(-1 + √3 i))(x-(-1 - √3 i)(x-(1/2 + (√3)i / 2))(x-(1/2 - (√3)i / 2))
Step-by-step explanation:
4x^2 - 20 = 5
4x^2 -25 = 0
4x^2 = 25
2x = 5, or -5
x = 5/2 , or -5/2
Answer:
I believe the answer is $ 231.00.
Step-by-step explanation:
I might be wrong, but please don't hate me if I am!!
First I found the sales tax of the nice running shoes by multiplying the price of the shoes by the sales tax:
216 * 6.5% = 14.04
Then I added the sales tax to the price of the nice running shoes:
$ 216 + $ 14.04 = $ 230.04
Since Jim doesn't have any change and can only pay in cash, you would round $ 230.04 to the nearest dollar:
$ 230.04 is rounded to $ 231.00 :D
