Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
Answer:
x = 5 only
≡ On a graph, the point touches (5, 0), making <em>x</em> equal to 0.
≡ In other words, you must replace <em>y</em> with <em>0</em> to solve for <em>x. </em>There is no <em>y</em> term in this problem, so you must determine <em>y</em> by separating the coefficients into groups and determining each part.
30^2=A^2+18^2
900=A^2+324
900-324=A^2
576=A^2
24=A
Length is 24 meters
Answer:
$45 after the discount
Step-by-step explanation:
Set up a proportion.
$50 is the total amount and make the 10% a decimal
x(100) = 50(10)
100 = 500
100 ÷ 500
x = 5 <-- We have to subtract this amount from the total
$50 - $5 = $45 <-- total after the discount
<u>Hope this helps!!</u>
280 student tickets were sold
140 adult tickets were sold
