Answer:
5 miles
Step-by-step explanation:
The two legs of Deborah's hike form the right-angle legs of a right triangle. The shortest distance is then the hypotenuse of that triangle, found using the Pythagorean theorem.
d^2 = 3^2 + 4^2 = 9 +16 = 25
d = √25 = 5
Deborah ends 5 miles from her start.
(A) For x representing the cost of one of Tanya's items, her total purchase cost 5x. The cost of one of Tony's items is then (x-1.75) and the total of Tony's purchase is 6(x-1.75). The problem statement tells us these are equal values. Your equation is ...
... 5x = 6(x -1.75)
(B) Subtract 5x, simplify and add the opposite of the constant.
... 5x -5x = 6x -6·1.75 -5x
... 0 = x -10.50
... 10.50 = x
(C) 5x = 5·10.50 = 52.50
... 6(x -1.75) = 6·8.75 = 52.50 . . . . . the two purchases are the same value
(D) The individual cost of Tanya's iterms was $10.50. The individual cost of Tony's items was $8.75.
Answer:
Angle 1,4 and 7
Step-by-step explanation:
I know I know
Answer:
<h3>x = -2</h3>
Step-by-step explanation:
![3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\](https://tex.z-dn.net/?f=3%5B-x%20%2B%20%282%20x%20%2B%201%29%5D%20%3D%20x%20-1%5C%5C%5C%5C%5Cmathrm%7BExpand%5C%3A%7D3%5Cleft%28-x%2B%5Cleft%282x%2B1%5Cright%29%5Cright%29%3A%5Cquad%203x%2B3%5C%5C3x%2B3%3Dx-1%5C%5C)
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