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:
You would do this problem like a normal varible problem. x=10
Step-by-step explanation:
Since 9x is a right angle the inside would also be 9x
9x+4x+10+40=180
180 because that is how much a triangle equals
combine like terms
13x+50=180
subtract 50 from both sides
13x=130
divide by 13
x=10
<u>Hope this helps!</u>
Answer:
Step-by-step explanation:
Given the inequality function , to write the inequality in interval notation, we need to first get the solution to the inequality as shown;
Hence the expression in interval notation is
Answer:
first you have to order the numbers
8, 10, 13, 18, 23, 25, 26, 30
Median is between 18 and 23 so we add them then divide the sum by 2
Median: (18 + 23)/2 = 20.5
First Quartile is between 10 and 13 so we add them then divide the sum by 2
First Quartile: (10 + 13)/2 = 11.5
Third Quartile is between 25 and 26 so we add them then divide the sum by 2
Third quartile: (25 + 26)/2 = 25.5
Range: 30 - 8 = 22
Sorry I don't know how to draw a diagram on brainly
Answer:
They will be parallel.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.
If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.