Hello!
To solve each expression, you need to substitute the given value for each given variable. If there is an <em>x</em> in the expression, then you substitute 5.07. If there's a <em>y</em>, then you substitute 1.5, and if there's a <em>z</em>, then you substitute 0.403.
7. 3.2x + y (substitute x = 5.07 and y = 1.5)
3.2(5.07) + (1.5)
16.224 + 1.5
17.724
8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)
(1.5)(0.403) + (5.07)
0.6045 + 5.07
5.6745
9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)
(0.403) × 7.06 - (1.5)
2.84519 - 1.5
1.34518
<u>Final answers</u>:
- Number 7: 17.724
- Number 8: 5.6745
- Number 9: 1.34518
Answer: length = 24 ft
Width = 8 ft
Step-by-step explanation:
Let L represent the length of the barn.
Let W represent the width of the barn.
The area of a rectangular wall of a barn is 192 sq. Ft. This means that
LW = 192- - - - - - - - - - - - - - -1
It's length is 8 ft longer than twice it's width. This means that
L = 2W + 8
Substituting L = 2W + 8 into equation 1, it becomes
W(2W + 8) = 192
2W² + 8W = 192
2W² + 8W - 192 = 0
Dividing through by 2, it becomes
W² + 4W - 96 = 0
W² + 12W - 8W - 96 = 0
W(W + 12) - 8(W + 12) = 0
(W - 8)(W + 12) = 0
W = 8 or W = - 12
Since the width cannot be negative, then W = 8
L = 192/W = 192/8
L = 24
It is the formula to find the longest line on a right triangle. for example, a squared plus b squared equals c squared. In this case, c must always be the line not relating to the right angel.
The answer is A to the question
