So we know that the sum of angle of a triangle is equal 180 degree
than there are 10x-1 +35 +15x+4 = 180
10x +15x = 180 -38
25x = 142
x = 142/25
x = 5,68
Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line
Answer:
The solution of the differential equation is .
Step-by-step explanation:
The first step is to take Laplace transform in both sides of the differential equation. As usual, we denote the Laplace transform of as . Then,
In the last step we use that and .
Notice that our differential equations becomes an algebraic equation for , which is more simple to solve.
In the expression we have obtained, we can write in terms of :
which is equivalent to
.
Now, we make a partial fraction decomposition for the term . Thus,
.
Substituting the above value into the expression for we get
) in both hands of the above expression. Recall that . So,
.
To obtain this we have used the following identities that can be found in any table of Laplace transforms
Answer:
b = 2a + 3
Step-by-step explanation:
Here, we want to write an expression for b in terms of a
Mathematically, the formula for the slope of a line is
m = (y2-y1)/(x2-x1)
m is 2
(x1,y1) = (-1,1)
(x2,y2) = (a,b)
Substituting these values
2 = (b-1)/(a-(-1))
2 = b-1/a + 1
2(a + 1) = b-1
2a + 2 = b- 1
2a + 2 + 1 = b
b = 2a + 3
Answer:
16.7%
Step-by-step explanation:
The first thing is to mention that they are two independent events, therefore the final probability is the multiplication of the two.
First event, select shirt. In total there are 4 and you must choose one of them, therefore the probability is:
1/4
Second event, select the pants. In total there are 3 and you must choose one of them, but there are two blue types, therefore any of the two is worth what means that the probability is:
2/3
The final probability:
P = 1/4 * 2/3
P = 0.167
Which means that the probability of choosing a white shirt and a blue pant (light or dark) is 16.7%