On a coordinate grid, 1 square unit equals ¼ square mile. A rectangular walking path has vertices at (-4,5), (1,5), (-4,-5) and
(1,-5). How long is the walking path?
1 answer:
Answer:
<u>15 miles</u>
Step-by-step explanation:
The rectangular walking path has vertices at (-4,5), (1,5), (-4,-5) and (1,-5).
See the attached figure.
The length of the walking path = the perimeter of the rectangle
As shown, The rectangle has length of 10 units and width of 5 units
So, the perimeter = 2 ( length + width ) = 2(10+5) = 2 + 15 = 30 units
Given: 1 unit² = (1/4) mile²
so, 1 unit = √(1/4) mile = (1/2) mile
so, the the walking path = 30 units = 30 * 1/2 = 15 miles
So, the length of waking path = 15 miles
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Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.
Step-by-step explanation:
Given,
Chocolate used to make 200 ml of chocolate sauce = 30 grams
Ratio of chocolate to milliliters of chocolate sauce = 30:200
Let,
x be the milliliters of sauce made from 450 grams of chocolate
Ratio of chocolate to ml of sauce = x:450
Using proportion;
Ratio of chocolate to ml of sauce:: ratio of chocolate to ml of sauce
Product of extreme = Product of mean
Dividing both sides by 30
450 grams of chocolate will make 3000 milliliters of chocolate sauce.
We will convert this in liters.
1 liter = 1000 ml
3000 ml = = 3 liters
Pierre can make 3 liters of chocolate sauce from 450 grams of chocolate.
Keywords: ratio, proportion
Learn more about proportion at:
#LearnwithBrainly
Answer:
See below for answer and explanations (as well as an attached graph)
Step-by-step explanation:
Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.
Take for example :
- As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote
- As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote
See the graph for a visual.
