f(x) + n - translate the graph of f(x) n units up
f(x) - n - translate the graph of f(x) n units down
f(x + n) - translate the graph of f(x) n units left
f(x - n) - translate the graph of f(x) n units right
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We have
y = |x - 2|
f(x) = |x| → f(x - 2) = |x - 2|
<h3>Answer: c. Translate the graph of y = |x| two units right.</h3>
Answer:
<u>A</u>
Step-by-step explanation:
Taking c = 1 :
- x² + 2x + 1
- x² + x + x + 1
- x(x + 1) + 1(x + 1)
- (x + 1)(x + 1)
- (x + 1)² ⇒ Perfect square trinomial
I'll do 22 for you. 22, 24, 26, 28, and 30, are very similar to each other.
PROPORTIONS:
Draw it out.
5/7 = either c/6, or b/5.
I'll do c/6
5/7 = c/6
solve for c
7c=30
c=30/7
now do the same thing to the remaining side, b.
there!
Equation: $1.20 x 4 = $4.80. This means that Mr. Gomez could've bought 2 of each fruit (because they cost the same)
- A rectangle has a perimeter of 44 inches and an area of 72 square inches.
- Perimeter = 44 inches, area = 72 square inches.
- Let the length and breadth be l and b respectively.
- We know, perimeter of a rectangle = 2(l + b)
- Therefore,
- 2(l + b) = 44
or, l + b = 22
or, b = 22 - l ...(i)
- We know, area of a rectangle = lb
- Therefore,
- lb = 72
- Putting (i) in b, we get
- l(22 - l) = 72
or, 22l - l^2 -72 = 0
or, l^2 - 22l + 72 = 0
or, l^2 - 4l - 18l + 72 = 0
or, l(l - 4) - 18(l - 4) = 0
or, (l - 4)(l - 18) = 0
or, l = 4 or l = 18
- Therefore, if the length is 4 inches, then the breadth is (22-4) inches, i.e., 18 inches.
- And if the length is 18 inches, then the breadth is (22-18) inches, i.e., 4 inches.
<u>Answer:</u>
<u>B)</u><u> </u><em><u>4</u></em><em><u> </u></em><em><u>inches </u></em><em><u>and </u></em><em><u>1</u></em><em><u>8</u></em><em><u> </u></em><em><u>inches.</u></em>
Hope you could get an idea from here.
Doubt clarification - use comment section.
