How many solutions does the equation 6x = 48? Two None Infinitely many One
1 answer:
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The length of the curve from x = 3 to x = 6 is 192 units
The curve is given as:
from x = 3 to x = 6
Start by differentiating the curve function
Evaluate
The length of the curve is calculated using:
This gives
Expand
This gives
Express as a perfect square
Evaluate the exponent
Differentiate
Expand
L = (6³ + 6) - (3³ + 3)
Evaluate
L = 192
Hence, the length of the curve is 192 units
Read more about curve lengths at:
#SPJ1
Answer:
5
Step-by-step explanation:
Calculate the distance between the points using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)
d =
=
= =
= 5
← exact value
see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC
the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem
solve for BD
substitute the values
therefore
<u>the answer is</u>
the height of the triangle is
