Answer:
10x - 8 or 2( 5x - 4)
Step-by-step explanation:
Perimeter of a rectangle = 2( Length + Width)
<u>Rectangle A </u>
Length = x + 8,
Width = x - 1
<u>Rectangle B</u>
Length = 4x + 5
Width = 3x - 2
Answer:
Ano grade na po ba kayo di ko po kasi nakita yan ehhhh
Answer:
The tallest bar on the chart would be for the a column of 4 students received an A on the test
Step-by-step explanation:
The tallest bar on the chart would be for the a column of 4 students received an A on the test.
Question 21
Let's complete the square
y = 3x^2 + 6x + 5
y-5 = 3x^2 + 6x
y - 5 = 3(x^2 + 2x)
y - 5 = 3(x^2 + 2x + 1 - 1)
y - 5 = 3(x^2+2x+1) - 3
y - 5 = 3(x+1)^2 - 3
y = 3(x+1)^2 - 3 + 5
y = 3(x+1)^2 + 2
Answer: Choice D
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Question 22
Through trial and error you should find that choice D is the answer
Basically you plug in each of the given answer choices and see which results in a true statement.
For instance, with choice A we have
y < -4(x+1)^2 - 3
-7 < -4(0+1)^2 - 3
-7 < -7
which is false, so we eliminate choice A
Choice D is the answer because
y < -4(x+1)^2 - 3
-9 < -4(-2+1)^2 - 3
-9 < -7
which is true since -9 is to the left of -7 on the number line.
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Question 25
Answer: Choice B
Explanation:
The quantity (x-4)^2 is always positive regardless of what you pick for x. This is because we are squaring the (x-4). Squaring a negative leads to a positive. Eg: (-4)^2 = 16
Adding on a positive to (x-4)^2 makes the result even more positive. Therefore (x-4)^2 + 1 > 0 is true for any real number x.
Visually this means all solutions of y > (x-4)^2 + 1 reside in quadrants 1 and 2, which are above the x axis.
Answer:
(2, 5)
Step-by-step explanation:
Rotation clockwise 90° can be accomplished by the transformation ...
(x, y) ⇒ (y, -x)
so
(-5, 2) ⇒ (2, 5)
