Answer:
5(x+2)
Step-by-step explanation:
to factor it we need to find a common term(5) and then we take it out(divide) resulting in the answer abover
The area of the surface generated by revolving the curve about the axis y = 9-x² is 12π
<h3>
What is a revolution on a graph? or curve?</h3>
Surfaces of revolution are graphs of functions f(x,y) that rely exclusively on the distance from the origin of the point (x,y).
Polar coordinates (r,) are one approach to discuss such surfaces. A "surface of revolution" is formed by rotating a curve around an axis.
Consider a curve with coordinates x and z in the "x0" half of the Euclidean plane.
<h3>What is the calculation justifying the above answer?</h3>
y = √(9-x²)
⇒ dy = (-2x)/2√9-x²)
= -x/√(9-x²)
Note that surface area (s) is given as:
√1 + (dy/dx)² dx
= 2
√9-x² * √[1 + (-x)/√9-x²)]dx
= 2π 3dx
= 6π [x]₋¹₁
= 6π (1-(-1)
= 6π (2)
= 12π
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Answer:
x=-2
y=9
Step-by-step explanation:
3=y+3x ---- A
-x+3y=29 ----B
step 1. rearrange equation A, so you have the "y" variable on one side
3=y+3x
-3x -3x
3-3x=y
y=3-3x ---- C
step 2. Substitute equation C into equation B in place of "y"
-x+3(3-3x)=29 ---foil
-x+9-9x=29 -- collect like terms
-10x+9=29
-9 -9
-10x=20
÷-10 ÷-10
x=-2
Step 3. Substitute x=-2 into equation C to find y
y=3-3(-2)
y=3+6
y=9
Check you answer by subsituting x=-2 and y=9 back into equation A and B
Since it went 8 floors in 6 seconds you divide. 8/6 is 1.333 or 1 1/3 floors per second. Hope this helps.
X= 20 & Y= 70 in right-angled triangle .
What is right angle triangle?
- A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees.
- The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base make up the sides that the right angle is formed from.
- The longest of the three sides, known as the hypotenuse, is the third side.
2X + 140 = 180
2X = 40°
X = 20°
X + Y = 90°
Y = 70°
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