Answer:
The number is -9.
Step-by-step explanation:
If we let the number be x we have the equation 6x + 7 = -47.
6x + 7 - 7 = -47 - 7
6x = -54
x = 054/6
x = -9.
Answer:
slope of (-4,-3)- 0
slope of (14,0)- 2
Step-by-step explanation:
Answer:
Using trigonometric ratio:
From the given statement:
and sin < 0
⇒ lies in the 3rd quadrant.
then;
Using trigonometry identities:
Substitute the given values we have;
Since, sin < 0
⇒
now, find :
Substitute the given values we have;
Therefore, the exact value of:
(a)
(b)
Answer:
The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.
If you multiply the top equation by -2 you get:
-4x -14y = 14 => -4x = 14+14y
now you can plug in the -4x into the second equation:
14+14y - 3y = -19 => 11y = -33 => y=-3
Fill in y=-3 in either equation to find x:
2x - 21 = -7 => 2x = 14 => x=7
So your ordered pair is (7,-3)