Answer:x:
y=-5/4
Step-by-step explanation:
Vertex (1,-1)
focus(1,-3/4)
Axis of symmetry(X=1)
Question:
Find the point (,) on the curve
that is closest to the point (3,0).
[To do this, first find the distance function between (,) and (3,0) and minimize it.]
Answer:

Step-by-step explanation:
can be represented as: 
Substitute
for 

So, next:
Calculate the distance between
and 
Distance is calculated as:

So:


Evaluate all exponents

Rewrite as:


Differentiate using chain rule:
Let


So:



Chain Rule:




Substitute: 

Next, is to minimize (by equating d' to 0)

Cross Multiply

Solve for x


Substitute
in 

Split

Rationalize



Hence:

Answer:
87.2º
Step-by-step explanation:
Complimentary angles total 90º
c + 2.8 = 90
c = 90 - 2.8
c = 87.2º
Answer:
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
Step-by-step explanation:
an acute angle is an angle less than 90 degrees
an obtuse angle is an angle more than 90 degrees
a right angle is an angle equivalent to 90 degrees (looks like two straight lines perpendicular)
a straight angle is an angle equivalent to 180 degrees (looks like a straight line)
a reflex angle is an angle greater than 180 degrees
so, ...
i = right angle
ii = obtuse angle
iii = straight angle
iv = obtuse angle
v = acute angle
Answer:
C: Xint = 2, Yint. = -7
Step-by-step explanation:
Given the equation, 2x - 7y = -14:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:
2x - 7y = -14
2(0) - 7y = -14
0 - 7y = -14
-7y = -14
Divide both sides by -7 to solve for y:
-7y/-7 = -14/-7
y = 2
Therefore, the y-intercept = 2.
Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:
2x - 7y = -14
2x - 7(0) = -14
2x - 0 = -14
2x = -14
Divide both sides by 2 to solve for x:
2x/2 = -14/2
x = -7
x-intercept = -7.
Therefore, the correct answer is C: Xint = 2, Yint. = -7
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