We know that the original width was 5, and that after the enlargement the width is 45. To calculate the scale factor we divide the final width between the original one, then:

Therefore the scale factor is 9.
9x² + 0x - 4
x + 5|9x³ + 45x² - 4x - 20
<u>9x³ + 45x² </u>
-4x - 20
<u>-4x - 20</u>
0
The answer is equal to 9x² - 4.
Answer:
22 degrees to the nearest degree.
Step-by-step explanation:
Use the Cosine Rule
3^2 = 5^2 + 7^2 - 2*5*7*cos T
9 = 74 - 70 cos T
cos T = (74-9)/ 70
cos T = 65/70
m < T = 21.8 degrees.
We know that 75 equals 2/3 of the remainder
which means 1/3 of the remainder is equal to 75/2 (37.5)
if 1/3 equals 37.5 then 3/3 (or all of the remainder) is equal to 3*37.5 (112.5)
We know that the remainder equals 5/8 of the oranges since
8/8-3/8= 5/8
We know that 112.5= 5/8, which mean 1/8 is equal to 112.5/5 (22.5) and that 8/8 or the total number of oranger equals 22.5*8 (180)
RESULT:
180 oranges
Answer:
420
Step-by-step explanation:
The remainder theorem tells you the remainder is f(4), which you can find by evaluating the expression for x=4. Evaluation is simpler if the expression is written in Horner form first.
... f(x) = (((x +4)x -1)x -16)x -12
... f(4) = (((4 +4)4 -1)4 -16)4 -12
... = ((8·4 -1)4 -16)4 -12
... = (31·4 -16)4 -12
... = 108·4 -12 = 420
_____
<em>Comment on evauation using Horner's form</em>
The intermediate results (contents of parentheses) are the same as the intermediate results you get when you use synthetic division.