Answer:
A) One solution
Step-by-step explanation:
12−4x=−8x.
Add 4x to each side
12−4x+4x=−8x+4x
12 = -4x
Divide each side by -4
12/-4 = -4x/-4
-3 =x
There is one solution
Answer: The required area is 131.6626
Step-by-step explanation:
Given that;
equation of the curve; y=x², 3≤ x ≤5
and equation of the surface; f(x,y) = x + √y
Find the Area A = ∫_c ( x + √y) dS
Find the parametrization of the curve.
so let x = a then y = a²
then dx/da = 1, dy/da = 2a
since 3≤ x ≤5 and x = a hence; 3≤ a ≤5
so the area of one side of winding wall will be;
A = ∫_c ( x + √y) dS
= ⁵∫₃ ( a + √a²) √[(dx/da)² + (dy/da)²] da
= ⁵∫₃ ( a + a ) √[(1)² + (2a)²] da
= ⁵∫₃2a√(1 + 4a²) da
= [1/6(4a² + 1 )^3/2)]₃⁵
= - 37/6×√37 + 100/6×√101
= -37.5103 + 169.1729
= 131.6626
Therefore the required area is 131.6626
9514 1404 393
Answer:
18
Step-by-step explanation:
There are two areas where the circles P and C overlap. One is labeled "4" and the other is labeled "3x". The sum of these two values is the number of people who like Pop and Classical music, 13.
4 + 3x = 13
3x = 9 . . . . . subtract 4
x = 3 . . . . . . divide by 3
__
We are asked to find the number of people who like two types only. The three regions where only two circles overlap are labeled x, 3x, and 6. The answer to the question is the sum of these values.
like 2 types only: x +3x +6 = 4x +6 = 4(3) +6 = 18
18 students like two types of music only.
Hundred : 748-48=700
tens: 250-10= 240
ones: 320-20=300
A. yd^2
This is because you would do 4yd * 3yd which is 12yd^2.
A rug is a flat object in this sense so you would only square it. A 3 dimensional object like a cube would be cubed or to the power of 3.