A pythagorean triple is A squared + B squared = C squared. A and B being the smaller numbers (side lengths) whilst C is the larger number (diagonal). Any two numbers (sides) that added together after each being squared equals the bigger number (diagonal) squared is a pythagorean triple.
Answer:
x = 3/2
Step-by-step explanation:
(2x + 3)2 – 4(2x + 3) - 12 = 0
Simplify the equation then isolate for x.
Distribute over brackets:
(4x + 6) – (8x + 12) - 12 = 0
Combine like terms:
4x + 6 – 8x + 12 - 12 = 0
6 - 4x = 0
Isolate x:
6 = 4x
6/4 = x
Reduce the fraction:
6/4 = x <= divide top and bottom by "scale factor" of 2
3/2 = x
x = 3/2 <= having x on the left side is standard
Elvira (e) is 5 years older than Morton (m)
e = m + 5
Morton (m) is twice as old as Michelle (c)
m = 2c
The combined total of their ages is 85
e + m + c = 85
We want m at the end so let's write everything in terms of m.
e = m + 5
c = m/2
85 = e + m + c = m+5 + m + m/2 = 5 + (5/2) m
m = (2/5) (85 - 5) = 32
Answer: 32 years old
Check:
That makes Elvira 37 and Michele 16, total 32+37+16=85, good
Answer:
Number of people who order chicken dinner = 1
Number of people who order the steak dinner = 5
Step-by-step explanation:
Let
x = number of people who order chicken dinner
y = number of people who order the steak dinner
x + y = 6 (1)
14x + 17y = 99 (2)
From (1)
x = 6 - y
Substitute into (2)
14x + 17y = 99 (2)
14(6 - y) + 17y = 99
84 - 14y + 17y = 99
- 14y + 17y = 99 - 84
3y = 15
y = 15/3
y = 5
Substitute y = 5 into (1)
x + y = 6 (1)
x + 5 = 6
x = 6 - 5
x = 1
Number of people who order chicken dinner = 1
Number of people who order the steak dinner = 5
