Two parallel lines are intersect by the same line, and the angles shown lie on the same orientation about the intersection so the angles are equal to each other...which means:
9x+21=10x+10 subtract 21 from both sides
9x=10x-11 subtract 10x from both sides
-x=-11 divide both sides by -1
x=11
Answer:
True
Step-by-step explanation:
Hopefully this helps
There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
In order to figure this out, you are going to do the math backwards. If the perimeter of the entire field is 96 meters, you will want to remove 16, which will give you 80 meters. You will then divide this by 2, giving you 40 meters. The width of the field will be 40 meters. That means that the length of the field is going to be 56 meters.
Answer: m = 4
Step-by-step explanation: This is a linear equation.
Linear equations can be written in the form y = mx + b where
the multiplier, m, represents the slope of the line and the <em>b</em>
or the constant term represents the y-intercept of the line.
So the slope of this line is simply the multiplier
which is the coefficient of the x term which is 4.
The variable that's used to represent slope is <em>m</em>.
So we say that m = 4.
