Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
Answer:
Your(my) number is 40
Step-by-step explanation:
I. Given 80/something, + 13, * 5 = 75 when x is something
So [ 
+ 13 ]5 = 75
[ 
+ 65] = 75
= 75 - 65
= 10
400 = 10x
x = 40
II. Prove by replace 40 in x
[(80/40) + 13]5 = 75
[2 + 13] 5 = 75
(15)5 = 75
75 = 75 true
Ask me for anything.
50 1/2 <u>divided by</u> 1/4 = 202
A farm was selling 50 1/2 apples to 2 families in need of some food. 1 family got half of what the 2nd family got.
50 1/2 <u>multiplied by</u> 1/4 = 12.625
The first number (50 1/2) is 202 times greater than the second number (1/4)
Hope this helps! :'(
I tried my best. I'm not good at math.
Answer:
B. 
- 4x - 5
Step-by-step explanation:
(p о n) (x) is the same thing as (p(n(x))
We know n(x) = x - 5, so let's input that into our expression
(p(x - 5))
Since we know p(x) = x^2 + 6x, let's replace the x with the new value x-5. Now our expression is:
p(x) = (x - 5)^2 + 6(x - 5)
Now all we have to do is simplify.
(x - 5)^2 is the same as: (x - 5)(x - 5)
Using the foil method, it simplifies to: x^2 - 10x + 25
6 (x - 5) = 6x - 30
Now our expression is: x^2 - 10x + 25 + 6x - 30
Combine like terms: x^2 - 4x - 5
The expression is: - 4x - 5
1 dozen = 12
Divide 941 by 12:
941 / 12 = 78.42
So the greatest number of dozens he can make is 78.
