5x + 2x.....combine like terms..... = 7x
5x + 2x....subbing in 1 7x - 1....subbing in 1
5(1) + 2(1) = 5 + 2 = 7 7(1) - 1 = 7 - 1 = 6
5x + 2x...subbing in 2 7x - 1...subbing in 2
5(2) + 2(2) = 10 + 4 = 14 7(2) - 1 = 14 - 1 = 13
5x + 2x...subbing in 3 7x - 1...subbing in 3
5(3) + 2(3) = 15 + 6 = 21 7(3) - 1 = 21 - 1 = 20
5x + 2x...subbing in 4 7x - 1....subbing in 4
5(4) + 2(4) = 20 + 8 = 28 7(4) - 1 = 28 - 1 = 27
5x + 2x...subbing in 5 7x - 1...subbing in 5
5(5) + 2(5) = 25 + 10 = 35 7(5) - 1 = 35 - 1 = 34
5x + 2x result values are 1 more then 7x - 1 result values
there are no values that will make the 2 expressions equal....
because 5x + 2x = 7x......and the other one is 7x - 1......so the 7x - 1 values will always be 1 number less...because ur subtracting one
Given:
A right triangle has legs of 18 inches and 24 inches.
The short leg is increasing by 4 in/sec and the long leg is shrinking at 9 in/sec.
To find:
The rate of change of the hypotenuse.
Solution:
Let x be the shorter leg (Base), y be the larger leg (Perpendicular) and z be the hypotenuse.
We have,
According to the Pythagoras theorem,
...(i)
Taking square root on both sides.
Side cannot be negative. So,
Differentiating (i) with respect to time t, we get
Divide both sides by 60.
Here, negative sign means hypotenuse is decreasing.
Therefore, the hypotenuse is shrinking at 4.8 in/sec.
Answer:
a. What is asked: How many miles did she ride on Monday and Tuesday together?
b. What are the given facts: On Monday, she rode 1/5 of a mile, and on Tuesday she rode 2/5 of a mile.
c. What is the operation to be used: Addition
d. What is the number sentence: 1/5 + 2/5
e. What is the solution: 1/5 + 2/5 = 3/5
f. What is the complete answer: 3/5 of a mile
1- 192
2-36
1- 168(original altitude)
+360(because the question says the hill is ______ 360 feet higher than checkpoint 2)
192
2- 168(checkpoint 2)
-132( checkpoint 4)
______
036