Let's call the left side of this tirangle y and downside z.
3² + 6² = y²
y² = 45
y² + z² = (3 + x)²
45 + z² = 9 + 6x + x²
x² + 6² = z²
45 + x² + 6² = 9 + 6x + x²
45 + x² + 36 = 9 + 6x + x²
45 + 36 - 9 = 6x
72 = 6x
x = 12
Answer:
x=75
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
g(x) = ax² + bx + c
Point (0,0):
0 = a.0² + b.0 + c
c = 0
Point (2,1):
1 = a.2² + b.2 + c
4a + 2b + c = 1
But c = 0. Then:
4a + 2b = 1
Another point: (- 2, 1):
1 = a.(- 2)² + b.(- 2) + c
4a - 2b = 1
{4a + 2b = 1
{4a - 2b = 1
4a + 2b = 4a - 2b
4a - 4a = - 2b - 2b
- 4b = 0
b = 0
4a + 2b = 1
4a + 2.0 = 1
4a = 1
a = 1/4
The formula is:
g(x) = (1/4)x²
I hope I've helped you.
You can do this by finding the lengths of RT , RS and ST using the distance formula
RT = sqrt ((0- -5)^2 + (4 - -6)^2)
= sqrt (5^2 + 10^2) = sqrt 125
RS = sqrt ((-3- -5)^2 + (-2 - -6)^2))
= sqrt ( 2^2 + 4^2) = sqrt 20
ST = sqrt 125 - sqrt 20
RS / ST = sqrt 20 / (sqrt 125-sqrt 20)
so the ratio RS:ST = 2:3
Its B
Answer:
1. Equation: 1 1/2 x 1 3/4
Solution: 2 5/8
2. Equation: 1 1/3 x 2 1/4
Solution: 3
Step-by-step explanation:
Hope this helps.
