Answer:
Slope of parallel: -1/4
Slope of perpendicular: 4
y=mx+b
m=slope
parallel= slope
perpendicular= slope opposite
Answer:
The factor of 12x^2 + 16 is 4x (3x+4)
Answer:
There were 76 childrens and 14 adults.
Step-by-step explanation:
Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:
children + adults = 90
Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:
5*children + 12*adults = 548
With these two equations we have a system of equations shown below:
children + adults = 90
5*children + 12*adults = 548
In order to solve this we will multiply the first equation by -5, and sum both equations we have:
-5*children - 5*adults = -450
5*children + 12*adults = 548
7*adults = 98
adults = 98/7 = 14
children + 14 = 90
children = 90 - 14 = 76
There were 76 childrens and 14 adults.
Answer:
Step-by-step explanation:
Consider the given equation
Factor form of a parabola: It displays the x-intercepts.
.... (1)
where, a is a constant and, p and q are x-intercepts.
So, we need to find the factored form of the given equation.
Splinting the middle term we get
.... (2)
On comparing (1) and (2) we get
It means x-intercepts of the given parabola are 4 and 2.
Therefore, equivalent forms of the equation is y=(x-4)(x-2).
Hello.
First, draw a picture of two parallel lines and a transversal.
Find the two same side angles, either the same side interior or the same side exterior.
We do not know the measurement of the angle, so we'll label it x.
The second angle is 20° smaller than the other one so we'll label is x-20
Same side angles are supplementary. Meaning that they add up to 180°
Next, make an equation.
1st angle + 2nd angle = 180°
Now substitute the first and second angle to x and x-20
The substituted equation should now look like this.
x+x-20=180
solve it and you'll get...
x=100
But we're not done.
The angle labeled x is 100°
The other one is x-20
And since x=100, the second angle is 100-20=80°
Now use linear pairs, more same side angles, vertical angles, alternate angles, and linear pairs, to label the rest. Remember that each angle is either 100° or 80°.
Hope this helped!
-Emily
