Given:
A person leaves work and travels west for 15 miles.
They then turn left and travel south for 10 miles, to their home.
To find:
Distance between work place and home.
Solution:
The person travels west for 15 miles, then travel south for 10 miles.
It means, it forms a right angle triangle with legs 15 and 10.
To find the distance between work place and home we need to find the hypotenuse of the triangle.
Pythagoras theorem:
Taking square root on both sides.
Therefore, the bird would fly 18.03 miles.
4000
as the first bit rounds to 5 and the second bit rounds to 800
Use the rule of 3 simples
hope i understand it right that there is 1 integer and 1/4 cups of sugar or can being 11/4 cups too
1 integer 1/4 = 5/4
5/4 cups of sugar for 20 cookies
x -------------------- for 6 cookies
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x = 6*(5/4) / 20 = (30/4)/20 = 30/80 = 3/8 cups of sugar for 6 cookies
hope helped
Answer:
(1, - 1 ) and (5, - 3 )
Step-by-step explanation:
To determine which points are solutions of the inequality.
Substitute the x/y values into the left side of the inequality and compare with the right side.
(- 6, - 3)
- 3 + 12 = 9 > - 3 ← not a solution
(1, - 1 )
- 1 - 2 = - 3 ≤ -3 ← this is a solution
(5, - 3 )
- 3 - 10 = - 13 < - 3 ← this is a solution
(0, - 2 )
- 2 - 0 = - 2 > - 3 ← not a solution
(7, 12 )
12 - 14 = - 2 > - 3 ← not a solution
Keep these rules in mind:
- (a + b)² = a² + 2ab + b²
- (a - b)² = a² - 2ab + b²
- (a + b)(a - b) = a² - b²
Firstly, solve the exponent and multiplication:
Next, combine like terms:
Next, subtract 4x² on both sides:
Next, subtract 25 on both sides:
Lastly, divide both sides by -20.5. And since you are dividing by a <u>negative</u>, flip the inequality sign:
<u>Your answer is x > 2.</u>
