Answer:
Step-by-step explanation:
x + y = 10
22x + 14y = 172
-22x - 22y = -220
22x + 14y = 172
-8y = - 48
y = 6 ceramic vases
x + 6 = 10
x = 4 glass vases
Answer:
- a) 6
- b) 3t² - 17t + 28
- c) 3t² - 5t - 2
Step-by-step explanation:
<u>Given function:</u>
a) g(2)
- g(2) = 3*2² - 5*2 + 4 =
- 3*4 - 10 + 4 =
- 12 - 6 =
- 6
b) g(t - 2)
- g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 =
- 3(t² - 4t + 4) - 5t + 10 + 4 =
- 3t² - 12t + 12 - 5t + 16 =
- 3t² - 17t + 28
c) g(t) - g(2)
- g(t) - g(2) = 3t² - 5t + 4 - 6 =
- 3t² - 5t - 2
Answer:
m∠1 = 107 degrees
m∠2 = 73 degrees
Step-by-step explanation:
1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.
2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.
Therefore, m∠2 = 73 degrees.
Step-by-step explanation:
7h + 4 > 5 - 5h
7h + 5h > 5 - 4
12h > 1
h > 1/12