9514 1404 393
Answer:
a. 61
Step-by-step explanation:
The remainder theorem tells you the remainder of f(x)/(x -3) is equal to f(3). Using x=3 in the expression, we have ...
4x³ -2x² -10x +1
= ((4x -2)x -10)x +1
= ((4·3 -2)(3) -10)(3) +1 = (10·3 -10)(3) +1 = 20·3 +1
= 61
The remainder from division by (x -3) is 61.
Answer:
A. 50
Step-by-step explanation:
Sum of interior angles of a triangle is always =180 °
Since this is a right triangle, therefore we know that one angle of the triangle measures 90°
Therefor sum of other two angles has to be =
One angle measures = 40°
Therefore the missing angle 
Answer:
~37.70 inches
Step-by-step explanation:
The circumference is π x diameter, so if the diameter is 12, the circumference is π x 12=12π
12π is approximately 37.70
Answer:
y = -5
Step-by-step explanation:
-10(-1/2y + (-7/2)) + 7y = -25
Let's first of all expand the bracket to get;
5y + 35 + 7y = -25
12y + 35 = -25
12y = -25 - 35
12y = -60
y = -60/12
y = -5
Answer:
90 minutes
Step-by-step explanation:
Given that On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes, this pattern may be presented as an arithmetic sequence shown below
20, 30, 40 ...
For an arithmetic sequence whose first term is a, and a common difference d, the nth term of the sequence may be given as
Tn = a + (n - 1)d
Hence the first term is 20, the common difference d is 10
On the 8th day, the 8th term
T8 = 20 + (8 - 1) 10
= 20 + 70
= 90 minutes
