Answer:
4) J
5) D
Step-by-step explanation:
4) 416 = 2x² - 6x
2x² - 6x - 416 = 0
x² - 3x - 208 = 0
x² - 16x + 13x - 208 = 0
x(x - 16) + 13(x - 16) = 0
(x - 16)(x + 13) = 0
x = 16, -13(not possible)
So 16 rows
5) y = a(x - h)² + k
y = a(x - 3)² - 7
When x = 1, y = -10
-10 = a (1 - 3)² - 7
-10 = 4a - 7
4a = -3
a = -¾
y = -¾(x - 3)² - 7
Answers: See each part below.
1) The scale factor on Map 1 is 1cm = 2 km. It is given in the key in the bottom right corner.
2) The length of the trail would be 16 km. Since each cm is 2 km, we multiply the 8 by 2 to get a total of 16.
3) The scale factor from the first map to the second map is 0.75. To find this we can write and solve the following equation to determine the change from Map 1 to Map 2.
8k = 6
k = 0.75
4) To find the lengths of the sides of the landmark, just change the mm into cm and use the scale factor for each.
5 mm is 0.5 cm. 0.5 x 2 = 1 km
3 mm is 0.3 cm. 0.3 x 2 = 0.6 km
4 mm is 0.4 cm. 0.4 x 2 = 0.8 km
162.56cm or if you round it, 163cm
You have to use cosine law...
No
For future reference: When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
