The answer is c. 10y and -9y
Answer:
Step-by-step explanation:
We want to model the position of the submarine as a function of time.
Notice that we have a constant amount. The initial depth: 750 meters
Then we have a factor that varies over time. Every hour the submarine ascends 50 meters. therefore as t increases the depth y(t) of the submarine decreases. Then the factor is:
-50t.
Where t represents the time in hours.
Then the equation that represents the new position of the submarine in relation to the level of the sea:
Answer:
2x - y = - 5
Step-by-step explanation:
First obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← in slope- intercept form
The equation in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Subtract y from both sides
0 = 2x - y + 5 ( subtract 5 from both sides )
- 5 = 2x - y, that is
2x - y = - 5 ← in standard form
The two triangles are similar. <span>When two </span>figures<span> are </span>similar<span>, the ratios of the lengths of their corresponding sides are equal. We use this fact in order to calculate the height of the bigger triangle. We do as follows:
QP / SL = MN / SL+SR
25 / SL = 35 / SL + 13
SL = 32.5
Area = height x base / 2
Area = SL x MN / 2
Area = 32.5 x 35 / 2 = 568.75
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Answer:
6, 24, 96, 384
Step-by-step explanation:
a₁ = 6
a₂ = 4 x a₁ = 4 x 6 = 24
a₃ = 4 x a₂ = 4 x 24 = 96
a₄ = 4 x a₃ = 4 x 96 = 384