(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2
y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b
equation is y = 3/2x + 5/2...but we need it in standard form
y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation
Answer:
48.
Step-by-step explanation:
First you multiply the number by itself as many times as the number of the exponent is. In this case you <u>multiply -3 to itself 6 times which makes -729</u>, <u>2 to the 6th power is 64</u>, <u>-3 to the 5th power is -243, and 2 to the 2nd power is 4.</u> Then you <u>multiply -729 by 64 which makes -46656</u> and <u>multiply -243 by 4 which makes -972</u>, and then <u>divide -972 from -46656</u> <em>which makes 48</em>.
Answer:
Step-by-step explanation:
This question is about the benefits of estimation.
1300/13 is easy and results in 100.
1287/13 can be approximated by 1300/13: 1287/13 ≈ 100.
Actually, 1287 = 1300 - 13 = 13(99); just subtract 1 from 100.
So: 1287/13 = 1300 - 13 = 1287. A nice bit of mental math!
Answer:
To get system B, the SECOND equation in system A was replaced by the sum of that equation and the FIRST equation multiplied by FOUR. The solution to system B IS de same as the solution to system A
Step-by-step explanation:
x-y=3 equation 1
-2x+4y=-2 equation 2
so, multiplying by four the equation 1 we have
4x-4y=12 equation 3
later sum equation 3 and equation 2 we have
2x=10
Answer:
Step-by-step explanation:
Given
Quadrant III
Required
Determine 
We have:
We know that:
This gives:
Collect like terms
Take LCM and solve
Take the square roots of both sides
Sin is negative in quadrant III. So:
Calculate 
We have:
So:
Rationalize
So, we have:
Substitute:
Take LCM
