Answer:
D = √[(x2 - x1)² + (y2 - y1)²]
Step-by-step explanation:
Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).
Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.
That is,
D² = (x2 - x1)² + (y2 - y1)²
Now, taking square roots of both side, we have the formula for the distance or length D.
D = √[(x2 - x1)² + (y2 - y1)²]
Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
Answer:
8w-16
Step-by-step explanation:
8(w-2)
8(w) & 8(-2)
8w-16
Answer:
x=21/4
Step-by-step explanation:
1. combine like terms
-4+-7= -11 3x-2x=x
2. subtract x
5x-11=x+10
4x-11=10
3. add 11
4x=21
4. divide 21 by 4 = 21/4
Answer:
From least to greatest is 2/30, 2/5, 2/4
<em>Hope I Helped</em>