Answer:
(x,y) --> (-1, -3)
Step-by-step explanation:
Solve by elimination...
2x - 3y = 7
4x + y = -7 (times 3; so -3y and 3y cancel out)
2x - 3y = 7
12x + 3y = -21
2x = 7
12x = -21
add together...
14x = -14
x = -1
plug x into one of the original equations and solve for y...
-2 - 3y =7
-3y = 9
y = -3
Answer: 2929 π inch
Step-by-step explanation:
Circumference is given by= 2πr
Here r= 1010 inches
So Tip of minute hand moves= 2π (1010inch)
= 2020 π inch for an hour
Now it comes from 12 to 33 o'clock= 1.45 hour so,
Tip of minute hand moves= 2020 π inch x 1.45
Tip of minute hand moves= 2929 π inch
Answer:
The formula to find the nth term of the given sequence is 54 · 
Step-by-step explanation:
The formula for nth term of an geometric progression is :

In this example, we have
= 36 (the first term in the sequence) and
r =
(the rate in which the sequence is changing).
Knowing what the values for r and
are, now we can solve.
=
= 54 · 
Therefore, the formula to find the nth term of the given sequence is
54 · 
Answer:
37.5 acres.
Step-by-step explanation:
Fraction of his land where vegetables are grown
= 1 - 1/3 - 2/3 *3/5
(after taking away 1/3 we get 2/3 and the farmer uses 3/5 of this 2/3 to grow Maize.
= 1 - 1/3 - 6/15 LCD of 3 and 15= 15 so we write:
= 1 - 5/15 - 6/15
= 1 - (5+6)/16
= 1 - 11/15
= 4/15.
4 /15 is equivalent to 10 acres
so total area (= 1) = 10 / 4/15 Invert the 4/15 and multiply:
= 10 * 15/4
= 150/4
= 37.5 acres.