Answer:
or
Step-by-step explanation:
We are going to see if the exponential curve is of the form:
, ().
If you are given the intercept, then is easy to find.
It is just the coordinate of the intercept is your value for .
(Why? The intercept happens when . Replacing with 0 gives . This says when .)
So .
So our function so far looks like this:
Now to find we need another point. We have two more points. So we will find using one of them and verify for our resulting equation works for the other.
Let's do this.
We are given is a point on our curve.
So when , .
Divide both sides by 8:
Reduce the fraction:
So the equation if it works out for the other point given is:
Let's try it. So the last point given that we need to satisfy is .
This says when , .
Let's replace with 2 and see what we get for :
So we are good. We have found an equation satisfying all 3 points given.
The equation is .
As here Angle M(63°) is equal to angle N(63°) that means triangle is isosceles triangle which has its two sides equal to each other. in our case ML = MN
so
3x = x +8
2x= 8
x= 8/2 = 4
so length of MN = x + 8 = 4+8 = 12
so ans is option B
Let the speed of the slower car = X
The speed of the faster car would be X + 15
They both traveled 3 hours and went 315 miles
Set up an equation:
3x + 3(x+15) = 315
Now solve for x:
3x + 3x +45 = 315
Simplify:
6x + 45 = 315
Subtract 45 from both sides:
6x = 270
Divide both sides by 6:
x = 270/6
x = 45
The slower car was doing 45 miles per hour.
The faster car was doing 60 miles per hour.
Answer:
A. x = 15
Step-by-step explanation:
2x + 3 * (x - 10) = 45
2x + 3x - 30 = 45
5x - 30 = 45
5x = 75
x = 15
If the relative position of two sides is same in two figures, then they are called Corresponding Sides.