Answer:
Her new position is 37 feet below the cave entrance
Step-by-step explanation:
Let us solve the question
∵ The cave entrance is the zero position
∵ Anna is in 42 feet below the cave entrance
→ Below zero means negative
∴ Anna is in -42 feet
∵ She descends 10 feet
→ Descend means negative
∴ She is in -42 + -10 = -52 feet
∵ She ascends 15 feet
→ Ascend means positive
∴ She is in -52 + 15 = -37 feet
→ -37 means she is in below the cave entrance by 37 feet
∴ Her new position is 37 feet below the cave entrance
Answer:
let x be chips and y be sodas
8x + 4y = 5 ---> for the first hint
4x + 8y = 7------> second hint
0.25 cents is how much chips costs
and 0.75 cents is how much sodas costs
You have to subtract 5/4 by 2/3 but in order to do that you must find a common denominator or least common multiple so the least common denominator of 4 and 3 is 12 so you have to multiply 4 by 3 and three by 4 to make both denominators 12 but you have to do the same thing on the top as you did the bottom so:
5/4*3= 15/12 and 2/3*4=8/12
Then 15/12-8/12 is 7/12 so Jim has to run 7/12 more
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = 
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = 
= 
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Answer:
(x,y) becomes (-y,x) so (3,2) would become (-2,3)
