Answer:
y= 2x-2
Step-by-step explanation:
Use the linear equation.
y= mx+b
indentify what you already know
x= 2 and y= 2 and m(slope)= 2
we are solving for b, so lets plug in what we have.
2= 2(2)+b
Simplify.
2= 4+b
Subtract 4 from both sides.
-2= b
Rewrite your equation wihtout the x and y values.
y= 2x-2
Answer:
they are congruent
Step-by-step explanation:
Answer:
ΔABC is a right triangle
length of the concession stand = 42.4 ft (nearest tenth)
Step-by-step explanation:
Given:
- Side length of square A = 30 ft
- Side length of square B = 40 ft
- Side length of square C = 50 ft
We can use Pythagoras' Theorem to prove if ΔABC is a right triangle.
Pythagoras' Theorem: a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
- a = side length of square A = 30
- b = side length of square B = 40
- c = side length of square C = 50
⇒ a² + b² = c²
⇒ 30² + 40² = 50²
⇒ 900 + 1600 = 2500
⇒ 2500 = 2500
Therefore, ΔABC is a right triangle
To find the diagonal of square A, use Pythagoras' Theorem:
Given:
- a = side length of square A = 30
- b = side length of square A = 30
- c = diagonal of square A
⇒ a² + b² = c²
⇒ 30² + 30² = c²
⇒ 900 + 900 = c²
⇒ c² = 1800
⇒ c = √(1800)
⇒ c = 42.42640687
Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)
Answer:
7
Step-by-step explanation:
Take the amount of money and divide by the cost per fish
46/6 =7 with 4 dollars remaining
She can buy 7 goldfish
The quotient is 18.5, so that means it is between 17 and 20
