What conic section does the equation x2 + y2 – 4y – 1 = 0 represent?ellipse
hyperbola
circle
parabola
Answers
Use completing the square for y and put the equation in standard form:
x²+ y² - 4y + [(-4)/2]² - 1 = 0 + [(-4)/2]²
x² + y² - 4y + (-2)² - 1 = 0 + (-2)²
x² + y² - 4y + 4 - 1 = 4
x² + (y - 2)² - 1 = 4
x² + (y - 2)² = 4 + 1
x² + (y -2)² = 5
The radius of the circle is the square root of 5. Its center is found at (0,2)
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y = 2/3x +c Substitute the slope (m) in
5 = 2/3(-2) +c Substitute the point (-2,5)
5 = -4/3 +c Make C the subject
c = 19/3
y = 2/3x + 19/3 This is the equation of the line.
Next you start subbing the points A and B in separately, using the same equation.
Subbing A(x, 3)
3 = 2/3x + 19/3 Make x the subject to find it.
-10/3 = 2/3x
-5 = x
The point A is (-5,3)
Subbing B(-2, y)
y = 2/3(-2) + 19/3 y is already the subject and you just solve it
= -4/3 + 19/3
y = 5
The point B is (-2, 5)
I hope this helped you, I have also attached a photo of the written work! I'm also sorry if the answer isn't correct... >-<
Answer:
(x) = -5 (y) = 5
3x+5y=26
2x-y=13
Answers
3x+5y=26
5*/2x-y=13
3x+5y=26
10x-5y=65
+------------------
13x= 91
x=7
3x+5y=26
3*7+5y=26
5y=5
y=1 ,,
Hope it helps :))
Round your answer to the nearest hundredths if necessary.
Answers
Therefore, area of segment CED = 22.6195 - 17.18 = 5.44 in^2
Answer: 5.43 square inches
Step-by-step explanation:
Here, the area of triangle ACD = 17.18 square inches,
And, the radius of the triangle having center A = 6 inches
The central angle of the arc CED = 72°
Hence, the area of the sector CAD =
=
=
= square inches
Since, the area of CED = The area of sector CAD - Area of triangle ACD
= 22.608 - 17.18
= 5.428 ≈ 5.43 square inches.
B.p = 100
C.p = 40
D.p = 28
Answers
Answers
Answer:
Nine hundred and fifty four thousandths.
Step-by-step explanation:
We have to write.954 in the written form. As, .954 is the decimal number and not the whole number therefore we have to mention "th" at the end of the written form. Whenever we have to write the decimal number is written form, just add "th" in the end..954 in written form can be written as:
Nine hundred and fifty four thousandth.