Answer:
A.(2,3)
Step-by-step explanation:
The solution to the system of two equations
and
is the ordered pair
which coordinates satisfy both equations.
Graphically, the solution to the system of two equations is the point of intersection of two lines which represent given equations.
The point of intersection of these graphed lines is closest to (2,3) (from the diagram), so correct option is A
Answer:
5√5
Step-by-step explanation:
Hypotenuse (h) = 15
perpendicular (p) = 10
base (b) = ?
We know by using Pythagoras theorem
b = √h² - p²
= √ 15² - 10²
= √ 125
= 5√5
Hope it will help :)
Answer: The length is 6 feet and the width is 10 feet.
Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.
We can now write an equation for the area of the rectangle as follows;
Area = L x W
60 = (W - 4) x W
60 = W^2 - 4W
If we rearrange all terms on one side of the equation, we now have
W^2 - 4W - 60 = 0
This is a quadratic equation and by factorizing, we now have
(W + 6) (W - 10) = 0
Hence,
Either W + 6 = 0 and then W = -6
Or W - 10 = 0 and then W = 10
We know that the side of the rectangle cannot be a negative value, so we go with W = 10.
Having calculated W as 10, the length now becomes
L = W - 4
L = 10 - 4
L = 6
Therefore, length = 6 feet and width = 10 feet
The boundaries:
x = 0, y = 8; y = 0, √x³ = = 8, x = 4


= π ( 64 x - 16 * 2 *√x^5 + x^4 / 4 ) =
= π ( 320 - 1024/5 + 64 ) =
179.2 π
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