Answer:17
Step-by-step explanation: 17 to the first power is 17, any number to the 1st power is always the bigger number for example
14 to the power of 1 is 14
12 to the power of 1 is 12
and so forth hope this helps.
Answer:
A' = (-3, 3)
Step-by-step explanation:
If the points are as follows:
A = (-3, -1)
B = (-2, -3)
C = (1, -1)
When reflecting across a y axis the x values remain the same.
When reflecting across y = 1 the y values will remain equal distant from y = 1.
A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3
B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5
C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3
Answer:
<h3>Question 1</h3>
- Let number of adult tickets - x, student tickets - y
<u>Required equations:</u>
- x + y = 8
- 7.25x + 5.50y = 52.75
<u>Solve by substitution x = 8 - y</u>
- 7.25(8 - y) + 5.50y = 52.75
- 58 - 7.25y + 5.50y = 52.75
- 1.75y = 5.25
- y = 5.25/1.75
- y = 3
<u>Find x:</u>
Answer: 5 adults and 3 students
<h3>Question 2</h3>
- Pair of gloves costs- x, hats cost- y
<u>Equations:</u>
<u>Solve by elimination, subtract the equations:</u>
- 2y = 43 - 30
- 2y = 13
- y = 6.5
<u>Find x:</u>
- 2x = 30 - 13
- 2x = 17
- x = 8.5
Answer: Gloves cost $8.5, hats cost $6.5
Answer:
11) x = 11
12) x = 11
Step-by-step explanation:
11) Δ RQP and Δ RLK are similar.
Hence, the ratios of the corresponding sides of the two triangles will be constant.
So,
⇒
⇒
⇒ x - 4 = 7
⇒ x = 11 (Answer)
12) Δ QRS and Δ QDC are similar.
So,
⇒
⇒ 2x - 14 = 8
⇒ 2x = 22
⇒ x = 11 (Answer)