Answer:
sure there is
Step-by-step explanation:
SSS means side side side so if 3 of the sides on each triangle are the same then its congruent Any time you see an A it stands for angle so you only have to learn the leters and then everything else is pretty straight forward
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
Answer:
please find the solution:
Step-by-step explanation:
please find the correct question:
Given value:
should be divisible by 6 we are also given that 
and start with x = 0
=-2 which is not divisible by 6
x= 1
= 2 not divisilble by 6
x= 2
= 6 which is divisible by 6
x=3
= 10 not divisible by 6
x=4
= 14 not divisible by 6
x=5
= 18 which is divisible by 6
so such x are x = 2 and x = 5
The question is:
Check whether the function:
y = [cos(2x)]/x
is a solution of
xy' + y = -2sin(2x)
with the initial condition y(π/4) = 0
Answer:
To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.
Let us do that.
y = [cos(2x)]/x
y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]
Now,
xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x
= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)
= -2sin(2x)
Which is the right hand side of the differential equation.
Hence, y is a solution to the differential equation.
Answer:1010 adult tickets and 640 child tickets were sold
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
The total number of tickets sold was 1650. This means that
x + y = 1650
Tickets to a Broadway show cost $35 for adults and $10 for children. The total receipts for 1650 tickets at one performance were $41,750. This means that
35x + 10y = 41750 - - - - - - - - - -1
Substituting x = 1650 - y into equation 1, it becomes
35(1650 - y) + 10y = 41750
57750 - 35y + 10y = 41750
- 35y + 10y = 41750 - 57750
- 25y = - 16000
y = - 16000/-25
y = 640
x = 1650 - y = 1650 - 640
x = 1010
