Answer:
<h2>Step 2</h2>
Step-by-step explanation:
Given the quadratic equation 6x² + 24x + 7 = 0, the following steps must be followed when finding the roots using the completing the square method.
Step 1: Subtract 7 from both sides
6x² + 24x + 7 - 7= 0 -7
6x² + 24x = -7
Step 2: divide through by the coefficient of x²
6x²/6 + 24x/6 = -7/6
x² + 4x = -7/6
Step 3: Add half of the coefficient of x (i.e 4/2 = 2) to both sides of the equation to complete the square of the equation x² + 4x.
x² + 4x + 2= -7/6 + 2
(x+2)² = -7/6 + 2
(x+2)² = 5/6
Step 4: taking the square root of both sides
√(x+2)² = √5/6
x+2 = ±√5/6
x = -2±√5/6
x = -2+√5/6 and -2-√5/6
Based on the conclusion above, it can be seen that Yvonne made the first error in step 2. Yvonne suppose to divide through by the coefficient of x² (i.e 6)
The angle x is complimentary to the given angle
Therefore x = 90-29 = 61 degrees
88.83 / 21 = 4.23
4.23 is the same number as 423% .
8.23 is <em>423%</em> of 21.
Answer:
The complete table will be:
x y
1 5
0.8 4
0.4 2
Step-by-step explanation:
Given rule is:
y = 5x
In the given rule, x is multiplied by 5 to get the values of y. The same rule can be manipulated to find the value of x in terms of y.
Putting y = 5
Putting y = 4
Putting y = 2
Hence,
The complete table will be:
x y
1 5
0.8 4
0.4 2
Answer:
Slope= -7
Step-by-step explanation:
I like to use the rise/run method.
Take the point at (1,-2) and count up to (1, 7). Then because it is going left, you count your run over 3 points. Or you could do.
