Find the points of intersection of the circles x²+y²-15=0 and x²-4x+y²+2y-5=0. Check by graphing the equations.
1 answer:
Answer:
The answer to your question is:
Step-by-step explanation:
Solve by elimination
- x² - y² + 15 = 0
x² +y² - 4x + 2y - 5 = 0
0 0 - 4x + 2y + 10 = 0
Solve it for x -4x = -2y - 10 ; x = 1/2y + 5/2
Substitution
( 1/2y + 5/2)²+ y² - 15=0
(y² + 2y + 25)/4 + y² - 15 = 0
y² + 10y + 25 + 4y² - 60 = 0
5y² + 10y - 35 = 0
Solve the equation
y1 = -3.83 y2 = 1.83
x1 = (5 - 3.83) /2 x2 = (5 + 1.83) / 2
x1 = 0.59 x2 = 3.42
Point 1 = (0.59 , -3.83) Point 2 ( 3.42, 1.83)
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Answer:
13ft
Step-by-step explanation:
Kindly find attached a rough draft of the situation.
Step one:
Given data
The length of the slide represents the
Hypotenuse of the situation on the rough sketch
Angle =33°
Required
The height of the ladder which is the adjacent of the rough sketch represented by x
Step two:
Applying SOH CAH TOA
Cos θ= adj/hyp
Cos 33=x/15
0.84=x/15
Cross multiplying
x=0.84*15
x=12.6
To the nearest foot the ladder is 13ft tall
Volume of water will it take to fill in the well is 4710 cubic feet
<h3><u>Solution:</u></h3>Given that a cylindrical well has a radius of 10 feet
Height of cylindrical well = 15 feet
To find: volume of water will it take to fill in the well
Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well
<em><u>The volume of cylinder is given as:</u></em>
Where "r" is the radius and "h" is the height of cylinder
Substituting the given values we get,
Hence, the amount of water that can be stored in the well is 4710 cubic feet