Answer:
x=14, y=37
Step-by-step explanation:
We know that (4y-10)° and 3x° are supplementary angles, meaning the total sum of the angles add up to 180°. (4y-10)° is also corresponding to the blank angle below (9x+12)°, making it a vertical angle. Since (4y-10)°=(9x+12)° because they are vertical angles, then that means we can solve for x:
Original Equation: (4y-10)°+3x°=180
New Equation: (9x+12)°+3x°=180
9x+12+3x=180
12x+12=180
12x=168
x=14
So x is 14
Because x=14, then y is:
4y-10+3(14)=180
4y-10+42=180
4y+32=180
4y=148
y=37
So y is 37
Answer:
y = - 
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = 
= 
= -
note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = - x + 2 ← equation of line
Answer:
s(x)=32mx+b
Step-by-step explanation:
It should be this
Rational Roots Theorem states if a polynomial P (x) has rational roots then p/q is a root where p is a multiple of a0 and q of an. Moreover this polynomial has 3 roots, at most 3 which are positive and none of which are negative. Finding a root x0, you can use (x-x0) and long division to factor P (x) and find the other roots. Possible rational roots +/- {1,2,3,6,7,14,21}.
Namely 2,3,7 are the roots so it factors
(x-2)(x-3)(x-7)
