Answer:
Step-by-step explanation:
f(x) -h(x) = x³ + 2x² -7x - 8 - [4x² - x - 15 ]
= x³ + 2x² - 7x - 8 - 4x² + x + 15
= x³ + 2x² - 4x² - 7x + x - 8 + 15
= x³ - 2x² - 6x + 7
<span>Answer: 100+25pi
The area of square part of arch is 10*10=100 the diameter of the circle is 10 therefor radius is 5 and area is \[\pi*r^2=\pi*25\] therefore total area is 100+25pi
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The area of the square is calculated through the equation,
Area = e²
where e is the measure of sides.
From the given,
64 = e²
e = sqrt 64 = 8 inches
The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.
radius = 8 inches / 2 = 4 inches
Thus, the radius of the cylinder is equal to <em>4 inches</em>.
24 the answer is 24
(just because i dont have enough characters soooooo LOLOLOLOLOL)
Answer:
The equation of the boundary of the region is (x+2)² + (y-1)² = 25
Step-by-step explanation:
The satellite is positioned at (-2,1) and can sense the presence within 5 miles of its position.
The boundary of the region is a circle with center (-2,1) and radius 5.
The equation of the circle with center (h,k) and radius r is given by
(x-h)²+(y-k)²=r²
The equation of the circle with center (-2,1) and radius 5 is given by
(x+2)²+(y-1)²=5²=25
(x+2)² + (y-1)² = 25 is the required equation of the boundary of the region.
