The preimage was shifted to the image by a translation 2 units right and 2 units up, so the answer is
X. Y
12 —> 4
8 —> 8/3
13 —> 13/3
Substitute x values for y.
y = 1/3(12)
y=4
Answer:
cot∅ = (-2√30)/7.
Step-by-step explanation:
Given the value of csc∅ = -13/7 and ∅ is in quad III.
We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).
It means y = -7, r = 13.
We know x² + y² = r².
x² = r² - y²
x² = (13)² - (-7)² = 169 - 49 = 120.
x = √120 = 2√30.
we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.
Hence, cot∅ = (-2√30)/7.
Answer:
95.49 g
Step-by-step explanation:
D = m/v
Looking for mass so isolate m to form equation format
D × V = m
Plug in numbers
.7892g/mL × 121.0 mL = 95.4932 g
Only g and not g/mL because the mL cancels each other out. It's easier to see if you rewrite it on paper.
Round to sig figs
Both original numbers hold 4 sig figs
95.49 g