Answer:
Step-by-step explanation:
Given that the 2 triangles are congruent based on the Hypotenuse-leg theorem, this implies that:
, and 
Using the expression, , solve for y:
Answer:
3.2 miles
Step-by-step explanation:
Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem
R = sqrt ( 9^2 + 6^2 )
R = sqrt ( 81 + 36 )
R = sqrt ( 117 )
R = 10.82 miles
while Ben drives 3 miles south and 7 miles west
Use the same pythagorean theorem to find the resultant displacement
R = sqrt ( 3^2 + 7^2 )
R = sqrt ( 9 + 49 )
R = sqrt ( 58 )
R = 7.62 miles
The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two
Difference = 10.82 - 7.62 = 3.2 miles.
Therefore, Mary live 3.2 miles from Benjamin.
Answer:
Emma can complete the calls alone in 6 days, which means she can complete 
of the calls in one day. So, Emma’s rate per day is . Jackson can complete the calls alone in 
days, which means he can complete 
of the calls in one day. So, Jackson’s rate per day is . Because they’re working together, the time, 
, is the same for both.
Multiply across the table to find the part of the task each has completed. Use the equation work completed = (rate)(time) to fill in the last column cells.
Step-by-step explanation:
To figure this out just multiply:
6 people had 3 servings = 6 x 3
6 x 3 = 18 There's your answer!
Answer:
Domain: [-2, 2]
Range: [-3, 3]
Step-by-step explanation:
Domain (x) is the left and right. Range (y) is the up and down.
It's a bracket if it is included, meaning, there is no gap or hole.
If it weren't included, it'd be a parentheses instead "( )". For example, if there was an open circle.
It would go to -infinty or +infinity if it were to go on forever, and that would be in parentheses.
EX: (-∞,∞) or (-∞, 8]
You can mix and match the brackets and parentheses depending on whether or not it touches/includes the number, like I've mentioned.
