Answer:
k = 143
Step-by-step explanation:
The sum of the 3 interior angles of a triangle = 180°, thus
k = 180 - (27 + 10) = 180 - 37 = 143
Answer:
B)3 = 5x2 – 10x
D)8 = 5(x2 – 2x + 1)
G) = (x – 1)2
Step-by-step explanation:
Given quadratic : 3 - 4x = 5x2 - 14x
We need to apply completing the square to solve the equation.
First step is to get rid 4x from left side.
We can add 4x on right side to get rid from left side.
3 = 5x^2-14x+4x
On simplifying this step, we get
3 = 5x^2-10x
Now, we need to factor out 5 from right side to get the coefficient of x^2 as 1.
We get,
3 = 5(x^2-2x)
Now, coefficient of x is -2. So, we need to add half of the square of -2.
-2/2 = -1.
And square of -1 is 1.
Therefore, adding 1 inside parenthesis and 5×1 = 5 on left side, we get
3+5 = 5(x^2 -2x+1)
8 = 5(x^2 -2x+1)
Let us find the perfect square of (x^2 -2x+1).
(x^2 -2x+1) = (x-1)^2
Therefore, we get
8 = 5(x-1)^2.
So, the above highlighted are steps in the process of completing the square.
Answer:
expain the problem beter
Step-by-step explanation:
1 - B
2 - <
3 - A
4 - B
5 - B
well first you have to get x and y on separate sides so subtract x by both sides to put x on the right side.
now you have y = 5 - x
to graph that let's throw in some numbers for x and y and make a function table
x, y
1, 4
2, 3
3, 2
4, 1
5, 0
6, -1
and so forth
as you can see as x increases in value, y decreases in value
all you have to do now is plot those points on a graph