Let x = one of the legs.
Then, the other leg = x + 3.
Ed will use the Pythagorean Theorem to find the hypotenuse.
So, let a = x one leg. Let b= x + 3 the other leg. And, let c = 15 the hypotenuse.
The Pythagorean Theorem is:
c^2 = a^2 + b^2, where a and b are the legs and c is the hypotenuse.
We have:
15^2 = x^2 + (x + 3)^2
225 = x^2 + x^2 + 6x + 9
Rearranging:
2x^2 + 6x - 216 = 0
Divide by 2:
x^2 + 3x - 108 = 0
Solve by factoring:
(x - 9)(x + 12) = 0
So, x = 9 and x = -12. (x = -12 is not a valid answer.)
x = 9
x + 3 = 12
Conclusion: The legs of the right triangle are 9 inches and 12 inches.
Eddie-G…
These are the points and just join them
<span>0.8, 7/8 = .875 , 81% = .81, 19/25 = .76
</span>from least to greatest: 19/25, 0.8, 81%, 7/8
(10,5)
Explanation:
By replacing the value of x with the x co-ordinate of the point above, we get that;
y=10+5
y=15
This does not tally with (10,5)
Answer:
(-∞, -4] ∪ [5, ∞)
Step-by-step explanation:
Hi!
Alright, so greater (or less) than or equal to is denoted with a bracket.
If x is less than or equal to -4, then the bracket is on the left side.
(___, -4]
Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.
So, x
-4 = (-∞, -4]
X
5
Equal to = bracket
X is any number above 5, so
[5, ∞)
Because we want both of these, we use the union sign (∪)
so,
= (-∞, -4] ∪ [5, ∞)