Answer:
21. (-5,-4), (-5,3), (5,-4), (5,3)
22. (-4,0), (4,0), (0,-3), (0,3)
Step-by-step explanation:
number 21 should look like a rectangle.
number 22 should look like a diamond
Hope this helps, if you need more information please let me know or send a picture<33
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
Below is the solution:
f(x)=−4(x2−6x+9−9)−29
<span> (</span>x2−6x+9)=(x−3)(x−3)
f(x)=−4((x−3)2−9)−29
f(x)=−4(x−3)2−4(−9)−29
f(x)=−4(x−3)2+36−29
f(x=−4(x−3)2+7
f(x)=−4(x−3)2+7
That's
the equation we got by completing the square.
y=a(x−h)2+k
That's
the formula of a parabola in "vertex" form. Notice the similarity?
The two are equal if we say
y=f(x)
a=−4
h=3
k=7
Therefore the answer is C, <span>−4(x − 3)2 + 7; The maximum height of the water is 7 feet.</span>
Answer:
20%
Step-by-step explanation:
Well if there's 5 answers for the question, and he answered two questions. That means the two questions together have 10 answers.
He chose one answer for each question, that is 2/10 or 1/5 or 20%