Answer:
16 ft
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
Answer:
it's 5 because 20 -15 is 5
Answer:
x = 2, y = 7, z = 12
Step-by-step explanation:
x + y - z = -3 (1)
3x - y + z = 11 (2)
x - 4y + z = -14 (3)
add (1) and (2)
4x = 8 x = 2
add (1) and (3)
2x - 3y = -17
2(2) - 3y = -17
-3y = -17 - 4
-3y = -21
y = 7
Find z using any equation
x + y - z = -3
2 + 7 - z = -3
9 - z = -3
z = 12
Step-by-step explanation:
Hey there!
The equation is; y= -3x
or, 3x+y = 0.......... (I)
From equation (I)
Therefore, m= -3
Now, As per the condition of perpendicular lines;
M1*M2 = -1
-3*M2 = -1
M2= -1/-3
Therefore, the slope of a line which is perpendicular to the equation is; 1/3.
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>