I think the question is
Find the value of c so that (x-5) is a factor of the polynomial
The other factor is going to be some quadratic. We can say a few things about its coefficients but let's start by saying in general it's
Equating respective coefficients,
so we get
Answer: -37
Check:
let's recall that in an isosceles triangle, the twin sides make twin angles at the bottom/base, so on the triangle on the left-side, if the "vertex" atop has an angle of 116°, then the twin sides below are simply 180° - 116 = 64, split that in half and that's 32° each.
The same is true for the isosceles triangle on the right side. Also recall that a flat-line is always 180°, 32 + 72 + 76 = 180.
Check the picture below.
Answer:
1
Step-by-step explanation:
1) First, place the given equation in slope-intercept form ( format) to find its slope easier. Isolate the y:
So, the equation of the line in slope-intercept form is . When an equation is in slope-intercept form, the
, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.
2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.
To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.
