Answer:
Step-by-step explanation:
So 1cm rep = 24 ÷ 2 = 12
So 3cm rep = 12 x 3 = 36
Part 1: Answer:
(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6
Step-by-step explanation:
To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.
(6+1)(6+1)(6-6) is zero.
Part 2 Answer:
Standard form: y = -x^4 + 12
Degree 4
left end goes down, right end goes down.
Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.
Part 3: Answer: x = 3, x = 8
Step by step:
x^2-11x = -24
x^2-11x+24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8
Part 4a Answer:
quotient 2x^2 + x - 3
remainder 1
Step by step:
2x^2 + x - 3
___________________
x-4 ) 2x^3 - 7x^2 - 7x + 13
2x^3 - 8x^2
__________
0 + x^2 - 7x + 13
x^2 - 4x
____________
0 - 3x + 13
- 3x + 12
______
1
Part 4b answer:
quotient 2x^2 - 6x + 2
remainder -20
Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.
dividend 2x^3 +14x^2 - 58x
divisor x+10
leading coefficient of divisor must be 1
write coefficients of dividend at top
write coefficients of dividend at left
| 2 14 -58 0
-10 | -20 60 -20
___________
| 2 -6 2 -20
Coefficients of quotient are 2 -6 2
Remainder is -20
quotient = 2x^2 - 6x + 2
Answer:
you’ve tried and have not won, Never stop for crying; All that’s good and great is done Just by patient trying. Though young birds, in flying, fall, Still their wings grow stronger, And the next time they can keep Up a little longer. Though the sturdy oak has known Many a wind that bowed her, She has risen again and grown Loftier and prouder. If by easy work you’re beat, Who the more will prize you? Gaining victory from defeat, That’s the test that tries you
Answer:
the square root of 197
Step-by-step explanation:
delta x=14
delta y=1
therefore with the Pythagorean theorem, the hypotenuse/distance is the square root of 197
Answer:
S = 2
Step-by-step explanation:
1st step: Simplify both sides of the equation
4/5 s - 3/4 s = 1/10
4/5 s + -3/4 s = 1/10
(4/5 s + -3/4 s) = 1/10 (combine like terms)
1/20 s = 1/10
1/20 s = 1/10
step 2: multiply both sides by 20
20 * (1/20 s) = 20 * (1/10)
s = 2
Hope this helped!
