Answer:
x=5, y=6. (5, 6).
Step-by-step explanation:
-6x+6y=6
-6x+3y=-12
---------------
simplify -6x+6y=6 into -x+y=1 and y=1-(-x)=1+x
-6x+3(1+x)=-12
-6x+3+3x=-12
-3x=-12-3
-3x=-15
3x=15
x=15/3
x=5
-6(5)+6y=6
-30+6y=6
6y=6-(-30)
6y=6+30
6y=36
y=36/6
y=6
Answer:
<em>cos a = -1.28 and 0.78</em>
Step-by-step explanation:
The question is not properly written. This is the correct question:
If sina×tan(a) = 1/2, find cosa
According to trigonometry identity;
tan a = sina/cosa
sina×tan(a) = sin a * sina/cosa
sin²a/cos a = 1/2
(1-cos²a)/cosa = 1/2
Cross multiply
2(1-cos²a) = cos a
2 - 2 cos²a = cos a
2cos²a + cos a - 2 = 0
Let P = cos a
2P² + P -2 = 0
P = -1 ±√1-4(2(2)/2(2)
P = -1 ±√1+16/4
P = -1 ±√17/4
P = -1±4.12/4
P = -1-4.12/4 and -1+4.12/4
P = -5.12/4 and 3.12/4
P = -1.28 and 0.78
Since P = cos a
<em>Hence cos a = -1.28 and 0.78</em>
We can use the points (7, 4) and (5, 6) to solve.
Slope formula: y2-y1/x2-x1
= 6-4/5-7
= 2/-2
= -1
______
Best of Luck,
Wolfyy :)
Unfortunately, Katie will be $20 short
She has $40
Plus the $38 x 5 she will be earning which is $190
$190+$40 is $230
Looks like Kate needs one more day of hard work to get her bike ; )
