Distance from focus to vertex=distance from vertex to directix
from (6,2) to y=1, the distance is 1
the focus is 1/2 higher than the vertex
vertex=(6,1.5)
for
(x-h)^2=4p(y-k)
vertex=(h,k)
p=distance from vertex to directix
vertex=(6,1.5)
ditance=0.5
(x-6)^2=4(0.5)(y-1.5)
(x-6)^2=2(y-1.5) is the equation
or
y=0.5x^2-6x+19.5 or
y=0.5(x-6)^2+1.5
Answer:
The measure of the largest angle in the kite is 128 degrees
Step-by-step explanation:
we know that
The sum of the interior angles in any quadrilateral must be equal to 360 degrees
A kite is a quadrilateral
Let
A,B,C and D the measure of the interior angles
so

we have that

substitute

----> equation A
Remember that
one is four times larger than the other
so
----> equation B
substitute equation B in equation A

solve for D

Find the measure of angle C

therefore
The measure of the largest angle in the kite is 128 degrees
Y=4 on the first one
A=92 on the second one
a) Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
b) The function
is equivalent to the function
.
<h3>How to determine whether a limit exists or not</h3>
According to theory of limits, a function f(x) exists for x = a if and only if
. This criterion is commonly used to prove continuity of functions.
<em>Rational</em> functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following <em>lateral</em> limits:


Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
In addition, we can simplify the function by <em>algebra</em> properties:


The function
is equivalent to the function
.
To learn more on lateral limits: brainly.com/question/21783151
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Answer: 170 Gallons
Step-by-step explanation: A water hose can let out 17 gallons of water in a minute. In 10 Minutes, if you multiply 17 by 10, you get 170.