Answer:
It is true, except when x = 2/5, since it is an asymptote.
Step-by-step explanation:
3x=5xy-2y
3x=y(5x-2)
3x/5x-2=y
5x-2=0 -------> 5x=2 --------> x=2/5
Answer:
= 18.857 cm²
Step-by-step explanation:
The area of a segment is given by;
θ/360 × 2πr². where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.
θ = 60, and r = 6
Therefore;
Area = 60/360 × 22/7 × 6²
= 18.857 cm²
Answer:
6π - 9 √3 square units
Step-by-step explanation:
The person above me is right, but this is all they are asking for in the problem. I hope it helps!
Let the unknown number be x then given,
(4/5)x - (3/4)x = 4
(16x - 15x)/20 = 4
x/20 = 4
x=80
Let the number be n.
Four fifths of the number is 4n/5.
Three fourths of the number is 3n/4.
Four fifths of a number is more than three fourths of the number by 4.
4n/5 = 3n/4 + 4
20 * 4n/5 = 20 * 3n/4 + 20 * 4
16n = 15n + 80
n = 80
Let's check.
4/5 of 80 = 4/5 * 80 = 64
3/4 of 80 = 3/4 * 80 = 60
64 is indeed 4 more than 60 showing that 4/5 of 80 is 4 more than 3/4 of 80, so 80 is correct.
Answer: 80
Answer:
The question is asking for the length. The height is given as 6 and the width is given as 5. The length is unknown
To find the length use formula lxwxh=volume
We know the volume of each bin to be 360 so we plug into the formula
lx5x6=360 (multiply)
lx30=360 (divide both sides by 30 to isolate the unknown, which is the length).
360/30= 12
l=12
The length is equal to 12
The answer is 12.
Step-by-step explanation:
b) Explain why these expressions are not equal when $x=-\dfrac12.$
c) Show that these expressions are equal for all $x$ other than $-\dfrac12.$
In parts (a) and (c), begin by explaining what your strategy for solving will be.
Part (a) We shall simplify both of them in order to find the solution to the equation.
Part (b) When x=-1/2, the answers to the second expression, 2x2, change to -1, and we eventually arrive in 1.
Part (c) As we can see, the expressions are identical, thus we can demonstrate that they are equal if x is any number other than -1/2.
Learn more about expressions here:
#SPJ2
Answer:
Part a) In order to solve the equation, we will simplify both of them. Once we do that, if we notice, they are the same equation, so therefore, if x=10, then we will be able to match the equation.
Part b) The reason the expressions are not equal when x=-1/2 is because if we see, that in the second expression, 2x^2, if x=-1/2, then the answer becomes -1, and we eventually end up with 1.
Part c) As we can see, the expressions are the same, so if x is any number other than -1/2, then we will be able to show that the expressions are equal.
Step-by-step explanation:
You can simplify the explanation, also if you play ROBLOX, follow me at my username: BAMUNJI, or 24KBlingYT
By the way, this question is from the Art of Problem Solving, and you should not just copy answers or copy of them.