The height in feet of the tree is 111.5 ft.
<h3>How to find the height of a tree?</h3>
The height of a house is 52 ft.
A tree beside the house is 7.5 ft more than twice as tall.
The height of the tree is as follows:
let
x = height of the house
Therefore,
The height of the house = x = 52 ft
Hence,
height of the tree = 7.5 + 2x
height of the tree = 7.5 + 2(52)
height of the tree = 7.5 + 104
height of the tree = 111.5
height of the tree = 111.5 ft
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Answer:
Cost =
Step-by-step explanation:
Let the number of pizza purchased by Mario = x
Cost of one pizza = $7
Total cost of x pizza = Number of pizza × Cost of one pizza
= $7(x)
If the cost of will be split between Mario and his brother, expression representing the cost by them individually,
Cost =
Therefore, Cost = $ will be the answer.
That is a fraction, as it has a '1' as the numerator and an '8' as the denominator.
hope it helps, xx
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
Answer:
centre = (2, 4)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 4x - 8y - 5 = 0
Rearrange the x/y terms together and add 5 to both sides
x² - 4x + y² - 8y = 5
Use the method of completing the square on both the x/y terms
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16
(x - 2)² + (y - 4)² = 25 ← in standard form
with centre (2, 4) and r = = 5