Answer:
2x +5(y+3)
Step-by-step explanation:
this depends on what you want
x+y+x+y+3(y+5)
expanding this, we have;
2x +2y +3y+15
2x +5y +15
2x +5(y+3)
Answer:
and
Step-by-step explanation:
A conjunction is formed when two statements join with the connector <u>and.</u>
The symbol used for a conjunction is:
∧
to mean AND.
For example, when you have two statements :
p : It will rain today.
q : I will fetch water.
You can connect the statements to form a compound statement :
It will rain today and i will fetch water. ( p ∧ q ).
<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
Answer: m=3/2
Step-by-step explanation: the slope starts from the left side and the line is going up meaning its positive, now the line is going up by 3s and to the right in 2s.
The base of a parallelogram is 28.4 cm.
The height is one fourth of the base.
28.4 ÷ 4 = 7.1, so the height is 7.1 cm.
What the area of the parallelogram?
The area of any parallelogram is the base times the height.
28.4 cm × 7.1 cm = 201.64 cm²
