Answer:
k = 11
Step-by-step explanation:
What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x = - 1
f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5
f(-1) = -2 - k(1) + 8 + 5 = 0
-k*(1) + 11 = 0
-k = -11
k = 11
Answer:
25 degrees
Step-by-step explanation:
Haha, awesome! Just did a problem like this!
All angles add up to 180, so set it up like this:
2x + 1 + 5x + 5 + 90 = 18
Combine like terms.
7x + 96 = 180
7x = 84
x = 12
Plug x back into 2x + 1
2(12) + 1
24 + 1
= 25 degrees
While we're at it...
5(12) + 5
60 + 5
= 65 degrees (for the other angle)
25 + 65 + 90 = 180
Math checks out & we're good to go!
Hope this helped. :) <3
Given:
In the given ΔXYZ,
Base = 22
Height = 23.1
Also,
Base = 31.9
Height = 15.9
To find the area of the given ΔXYZ.
Formula
The area of a triangle is
where, b be the base and
h be the height.
Now,
Taking, b = 22 and h = 23.1 we get,
sq unit
Again,
Taking,
b = 31.9 and h = 15.9 we get,
sq unit
Therefore,
We can find the approximate area of the triangle by following two expression
a) 
and
b) 
Answer:
$300
Step-by-step explanation:
In this question, we are simply asked to calculate the simple interest on $3000, at a rate of 20% paid after 6 months.
We can do this as follows. Mathematically, it should be remembered that:
S.I = PRT/100
In this case, we lost out the individual values as follows:
P = $3000, R = 20% and T = 6 months = 0.5years, S.I = ?
We substitute the parameters into the equation:
S.I = (3000 * 20 * 0.5)/100 = $300
Answer:
8 UNITS
Step-by-step explanation:
12/8 = k/6
4/3 = k/6
24 = 3k
k = 8
