Answer:
increase 20 times
Step-by-step explanation:
when you have a double increase and decrease then you multiply
But if they are different then you divide
5 - increase
4 - increase
<u><em>20- increase</em></u>
I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
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So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
Answer:
A. -1/2
Step-by-step explanation:
(2x+2)^2 - 3(4/3x)=3
x=-1/2
This is an example
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel
Answer:
Step-by-step explanation:
Given
Required
Show that these two lines have no point of intersection
The general equation of a line is
Where m represents slope
In
Similarly; in
Since the slope of both lines are equal;
<em>This implies that the lines are parallel and parallel lines have no point of intersection</em>
<em></em>
<em>See Attachment for Graph</em>
