Answer:
y = -20
Step-by-step explanation:
Given that y varies directly with x it means changing x will also cause change in y
Mathematically it can be written as:
y∝x
Removing the proportionality symbol
y = kx
Given y=25 when x=5 Putting the values
Now
We have to find the value of y when x = -4
Putting x=-4
Hence,,
y = -20
Multiply the first equation by 2
4x-6y=16
Then add the equations to eliminate x
4x-6y=16
-4x+5y=-10
-y=6
y-=6
Plug the y value in
2x-3(-6)=8
2x+18=8
2x=-10
x=-5
Final answer: (-5,-6)
Answer:
Step-by-step explanation:
When the exponent is attached to the trig function like that, its essentially the same thing as taking the entire function to that power.
tan^2(x) = (tanx)^2
Your sequence
-8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
(16/3)/(-8) = (-32/9)/(16/3) = -2/3
The general term an of a geometric sequence with first term a1 and ratio r is given by
an = a1·r^(n-1)
For your sequence, this is
an = -8·(-2/3)^(n-1)
Answer:
2nd one: AB = 6
Step-by-step explanation:
Because PQ is 4 (Pythagorean triples), you can prove that triangle PBQ is congruent to PAQ by HL. You can then say AQ is equal to 3 becasue of CPCTC. AQ+QB=AB, or 3+3=6. AB=6
