To test if this is a right triangle, let's test these side lengths with the Pythagorean Theorem.
a^2 + b^2 = c^2
c is the hypotenuse, the longest side of a right triangle.
a and b are the legs of the right triangle.
a = 7
b = 15
c = 17
7^2 + 15^2 = 17^2 ?
49 + 225 = 289 ?
274 ≠ 289
Thus, this triangle is not a right triangle since it does not satisfy the Pythagorean Theorem.
Have an awesome day! :)
In other words, find the inverse of the given function f(x).
1. Replace f(x) with "y." y = 8(x+10)
2. Interchange x and y: x = 8(y+10)
3. Solve this for y: y+10 = x/8, or y = x/8 - 10
-1
4. Replace "y" with "f (x) "
-1 x-80
f (x) = ---------- (Answer)
8
Answer:
George is 12, Mary Lou is 24 and Kate is 10.
Step-by-step explanation:
To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46
x + 2x + x - 2 = 46
4x - 2 = 46
4x = 48
x = 12
This means that George is 12.
Mary Lou = 2x
Mary Lou = 2(12)
Mary Lou = 24
Kate = x - 2
Kate = 12 - 2
Kate = 10
Answer:
There are 15 numbers of chicken and 25 numbers of bulls.
Step-by-step explanation:
The pen had chickens and bulls. The pen contains 40 animals in total. The number of legs in the pen is 130 .
Let
a = number of chicken
b = number of bull
a + b = 40................(i)
A chicken has 2 legs and a bull has 4 legs.
The total legs can be represented as
2a + 4b = 130...........(ii)
combine the equation
a + b = 40................(i)
2a + 4b = 130...........(ii)
a = 40 - b
insert the value of a in equation(ii)
2(40 - b) + 4b = 130
80 - 2b + 4b = 130
80 + 2b = 130
2b = 130 - 80
2b = 50
divide both sides by 2
b = 50/2
b = 25
Insert the value of b in equation (i)
a + b = 40
a + 25 = 40
a = 40 - 25
a = 15
There are 15 numbers of chicken and 25 numbers of bulls.
Answer:
You are looking for a geometric series equation. The first term of the sequence is 6 and the common ratio is 4 hence the equation is 6(4)^n-1 where n is the number of generations.
Step-by-step explanation:
