Answer:
Step-by-step explanation:
These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.
The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:
, so I have to divide the hypotenuse by to get the legs. The hypotenuse is 15
, so that divided by is 15
. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15.
The second triangle is a 30 60 90 degree triangle, so the ratio is x:x
:2x. The short leg is 7, so 7 * 2 is the hypotenuse, which is 14. The long leg is 7 * , which is 21. So, x for the second triangle is 14, and y for the second triangle is 21.
The range of a function is the set of output values of the function
The range of the function is: {15, 6, 4, 0}
<h3>How to determine the range</h3>
The function is defined as:
(x,y) = {(0, 15), (4, 6), (6, 4), (8, 0)}
The range is the y-values.
So, we have:
y = {15, 6, 4, 0}
Hence, the range of the function is: {15, 6, 4, 0}
Read more about range at:
brainly.com/question/1770447
Answer:
Step-by-step explanation:
we want to figure out the general term of the following recurrence relation
we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e
the steps for solving a linear homogeneous recurrence relation are as follows:
- Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
- Solve the polynomial by factoring or the quadratic formula.
- Determine the form for each solution: distinct roots, repeated roots, or complex roots.
- Use initial conditions to find coefficients using systems of equations or matrices.
Step-1:Create the characteristic equation
Step-2:Solve the polynomial by factoring
factor the quadratic:
solve for x:
Step-3:Determine the form for each solution
since we've two distinct roots,we'd utilize the following formula:
so substitute the roots we got:
Step-4:Use initial conditions to find coefficients using systems of equations
create the system of equation:
solve the system of equation which yields:
finally substitute:
and we're done!
I believe it is 1x - 9y + 41
Answer:
I'me sart
Step-by-step explanation:hi
