Answer:
k = 3.
Step-by-step explanation:
By the Factor Theorem. if x+a is a factor of f(x) then f(-a) = 0.
Here we use f(-1):
f(-1) = (-1)^3 + 2(-1) + k = 0
-1 - 2 + k = 0
k = 3.
The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is =
= cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x
Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or
Hence, the constant of variation is
Answer:
The measure of the angles:
24° and 66°
Step-by-step explanation:
Complementary angles sum 90°
then:
(3x + 3) + (10x-4) = 90
3x + 10x + 3 - 4 = 90
13x - 1 = 90
13x = 90+1
13x = 91
x = 91/13
x = 7°
then:
3x+3 = 3*7 + 3 = 21+3 = 24°
10x - 4 = 10*7 - 4 = 70 - 4 = 66°
Check:
66° + 24° = 90°
1992.1875
1500/64000= 0.0234375
0.0234375 x 85000=1992.1875
Answer:
0.90
Step-by-step explanation:
hope this helps