Answer:
8.60 miles
Step-by-step explanation:
If S=station G, not shown on the map, is 5 miles east and 7 miles south of Station A, the approximate distance between Station E and Station G when traveling by subway will be gotten using the Pythagoras theorem.
EG² = 5²+7²
EG² = 25+49
EG² = 74
EG = √74
EG = 8.60 miles
<em>Hence the approximate distance between Station E and Station G when traveling by subway is 8.60miles</em>
The equation is a reduction
it’s scale factor is 1/ 2
an algebraic representation for the dilation is written as (x, y) -> (kx, ky), with k being the variable for the scale factor
(2, 6) -> (1/ 2 • 2, 1/ 2 • 6)
Answer:
c, d. see attached
e. about 2.96 miles; about $1.63 million
Step-by-step explanation:
e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:
A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles
B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles
The difference in distance is ...
(BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles
The mall is about 2.96 miles farther from point B than from point A.
The additional cost is the difference in miles multiplied by the cost per mile:
(2.96 mi)($0.550 M/mi) = $1.63 M
The additional cost of the longer road is about $1.63 million.
Solutions
700 - d = 665
To solve the problem lets take out the letter d.
⇒ Now we have 700 - 665
700 - 665 = 35
The letter d is 35
Check your work
700 - 35 = 665
the answer is correct