Answer:
√8 ==> 2 units, 2 units
√7 ==> √5 units, √2 units
√5 ==> 1 unit, 2 units
3 ==> >2 units, √5 units
Step-by-step explanation:
To determine which pair of legs that matches a hypotenuse length to create a right triangle, recall the Pythagorean theorem, which holds that, for a right angle triangle, the square of the hypotenuse (c²) = the sum of the square of each leg length (a² + b²)
Using c² = a² + b², let's find the hypotenuse length for each given pairs of leg.
=>√5 units, √2 units
c² = (√5)² + (√2)²
c² = 5 + 2 = 7
c = √7
The hypothenuse length that matches √5 units, √2 units is √7
=>√3 units, 4 units
c² = (√3)² + (4)²
c² = 3 + 16 = 19
c = √19
This given pair of legs doesn't match any given hypotenuse length
=>2 units, √5 units
c² = (2)² + (√5)²
c² = 4 + 5 = 9
c = √9 = 3
legs 2 units, and √5 units matche hypotenuse length of 3
=>2 units, 2 units
c² = 2² + 2² = 4 + 4
c² = 8
c = √8
Legs 2 units, and 2 units matche hypotenuse length of √8
=> 1 unit, 2 units
c² = 1² + 2² = 1 + 4
c² = 5
c = √5
Leg lengths, 1 unit and 2 units match the hypotenuse length, √5
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: f(x) = x^2 and g(x) = (3x)^2.
g(x) can be rewritten as 9x^2.
The graph of g(x) is only one ninth as wide as that of f(x).
Next time please share the possible answer choices. Thank you.
The equation for a parabola with vertex (h, k) and vertical scale factor "a" is
y = a(x -h)² + k
One parabola with vertex (6, 9) is
y = (x-6)² +9
Answer:
C
Step-by-step explanation:
Graph f = x^2. Then the graph of g = (x + 3)^2 has the same shape, BUT its graph is that of f shifted 3 units to the LEFT. C is correct
