Answer:
answer is 7
Step-by-step explanation:
We are given a piecewise function which has a split at x=0
f(x) =
To find the limit, we have to find here left hand limit and right hand limit separately.
Here left hand limit for x tending to 0 is
limit of as x tends to 0
= 7-0 = 7
Right limit = limit of 10x+7 as x tends to 0
=10(0)+7 = 7
Since right hand limit = left hand limit we have
there exists a limit for x=0 and the limit is 7
Answer:
Step-by-step explanation:
Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.
Since EP⊥IJ, then segment JP is the height of the triangle EOJ.
The height of the equilateral triangle can be found using formula
where a is the side length.
So,
Therefore JP is 5√3 cm
Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
