Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
2 consecutive odd integers...x and x + 2
x + (x + 2) = 36
2x + 2 = 36 <===
Commutative because your switching the order
Given statement is "point where the perpendicular bisectors of the three sides of a triangle intersect".
Perpendicular is basically a vertical line that makes 90 degree angle with the base.
bisector means the line which divides side into two equal parts.
So perpendicular bisector in any triangle will be the line which is drawn on the side of the triangle and perpendicular to that side.
Now these perpendicular bisectors meet at some point.
That point is called circumcenter.
Hence final answer will be "circumcenter".
Part A
We have x = 4 and y = 3 paired up together.
This says that 4 pounds of potatoes cost $3
The price per pound (aka unit price) is y/x = 3/4 = 0.75 dollars = 75 cents.
Answer: 75 cents per pound
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Part B
The ordered pair (8,6) means x = 8 and y = 6 pair up together.
So in this case, 8 pounds of potatoes cost $6.
notice how y/x = 6/8 = 3/4 = 0.75 dollars = 75 cents here as well. So we get the same unit cost.
