Answer:
441
Step-by-step explanation:
x^2 + 42x + c
Take the coefficient of x
42
Divide by 2
42/2 = 21
Square it
21^2 =441
This is the value of c
Y= a1, x = -n1. is the answer to the equation.
Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
- We know that the diagonals are perpendicular bisectors of each other.
As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
Answer:
56
Step-by-step explanation:
Missing length = x + 21
Based on the Three Parallel Lines Theorem, we have:
x/21 = 20/12
Cross multiply
x*12 = 20*21
12x = 420
12x/12 = 420/12
x = 35
✅Missing length = x + 21
Plug in the value of x
= 35 + 21
= 56