Answer:
Step-by-step explanation:
The equation of the given line:
This equation is in the form . Therefore, 1/3 is the slope.
To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope). Therefore, the slope of the perpendicular line is -3.
The equation of the perpendicular line:
Answer:
Selena went to a fruit market with some money in order to buy apples and bananas. She finds out that cost of each banana and each apple is cents. She has 2 cents less than the total amount for which she could buy 8 apples and 4 bananas. Write an expression that represents the total amount Selena had.
Step-by-step explanation:
Given expression:
To write a story that represents the given expression and find the equivalent expression.
Solution:
Selena went to a fruit market with some money in order to buy apples and bananas. She finds out that cost of each banana and each apple is cents. She has 2 cents less than the total amount for which she could buy 8 apples and 4 bananas. Write an expression that represents the total amount Selena had.
If 1 apple cost = cents
Then 8 apples will cost = cents
If 1 banana cost = cents
Then 4 bananas will cost = cents
Total cost of 8 apple and 4 bananas = cents
Selena has 2 cents less.
Amount Selena has = cents
The expression can be simplified by adding the like terms.
⇒ (Answer)
Subtract 4 from both sides. You'll get 8x = 28. Solving for x, x = 28/8 = 7/2
Area = Length * Width = l * w
l = x + 2
w = 2x - 5
Area = (x + 2)(2x - 5) = 56
Area = 2x^2 -x - 10 = 56
Area = 2x^2 - x - 66 = 0 Now you have to factor this thing.
Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing.
2x + 11 = 0 can't work. x would be negative.
x - 6 = 0
x = 6.
Check
=====
l = x + 2
l = 6 + 2
l = 8
w = 2*x - 5
w = 2*6 - 5
w = 12 - 5
w = 7
l*w = 8*7 = 56. It checks.
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200,000 milligrams is equivalent to 200 grams.