Answer:
Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Step-by-step explanation:
Add 3 and 1: 3 + 1 = 4.
Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Check: is the ratio
£22.5
---------- equal to 3:1? YES
£7.5
Do £7.5 and £22.5 sum up to £30? YYES
---------- =
-----
Yes that is right
x=-4 is a vertical line passing through the points (-4,y)
where y can be any value
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct