Answer:
1. -12x - 9y - 6
2. -12x + 36
3. -240
4. -2
5. x = -57
6. x = -6
7. x = 48
8. x = 20
9. x = -288
10. n = 8
Step-by-step explanation:
1.
-5x - 13 + 3y - 7x - 12y + 7
-12x - 13 + 3y - 12y + 7
-12x - 6 + 3y - 12y
-12x - 6 - 9y
-12x - 9y - 6
2.
-3(4x - 12)
-3(4x) + (-3)(-12)
-12x + 36
3.
6x - 282
6(7) - 282
42 - 282
-240
4.
6x + 2(y + x)
6(-2) + 2(7 + (-2))
-12 + 2(7 - 2)
-12 + 2(5)
-12 + 10
-2
5.
x - 23 = -80
+ 23 +23
x = -57
6.
12x = -72
/12 /12
x = -6
7.
x/4 = 12
* 4 * 4
x = 48
8.
3x + 12 = 72
- 12 - 12
3x = 60
/3 /3
x = 20
9.
x/4 - 8 = -80
+ 8 + 8
x/4 = -72
* 4 * 4
x = -288
10.
-4(1 - 5n) - 8n = 92
-4 + (-4)(-5n) - 8n = 92
-4 + 20n - 8n = 92
-4 + 12n = 92
12n - 4 = 92
+ 4 + 4
12n = 96
/12 /12
n = 8
Since it is given that the triangle is a right angle, and one of the other angles is 30 degrees, then we know that this triangle is a 30, 60, 90 triangle. In a 30, 60, 90 triangle, the opposite side of the shortest angle is half of the hypotenuse (which is given as 6). So knowing this, the value of y would be D. 3.
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
............................
Answer:
Degree = 5
Y intercept = 12
Step-by-step explanation:
our function is given as
in the above polynomial our variable is x and it is being multiplied for 5 times. Hence the probable degree for the above polynomial is 5
In order to find the y intercept , we need to put x=0 in f(x) as y intercept is the point at which the function graphically meets y axis and where x = 0
Hence
Hence the y intercept is 12 units
