6 is six units to the right of the 0, or zero, midpoint on an infinite number line
-6 would be six units to the left of the midpoint, so it would be the opposite
So it is C because when you use rise over run, then you just look at the line were the line crosses trough the caskets and then you see that rise is 1 and run is two so it is 1/2 but if you convert the fraction into a decimal, the. It will be 0.5. The b is we’re the line goes trough the y-axis. So y=1/2+4 but you have to convort it into a decimal and it will be C y=0.5x+4. You welcome
Answer:
230°
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.
The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.
<u>y=2/3(x-5)^2</u>: A, D
<u>y=1/2(x-5)^2</u>: A, D
<u>y=3/4(x-5)^2</u>: A, D
<u>y=-4(x-5)^2</u>: B, D
Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.
To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
x = [ -7 ± √(229) ] / ( -10)
x = [ -7 ± sqrt(229) ] / ( -10 )
x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.
