5x-9y=-65
10x-3y=20
Multiple the first equation by 2
10x-18y=-130
10x -3y=20
Then subtract the two equations to get rid of the x
21y=-150
Divide the -150 by 21
Y=-7.14
Plug the y into the original equation. (Either one)
5x-9(-7.14)=-65
5x-64.28=-65
Then add 64.28 to the -65
5x=-0.72
Divide by 5
X=-0.144
I hope this is right
Using the product rule, then (A) is the answer.
Answer:
-1/2
Step-by-step explanation:
sin(30 degrees) = sin (pi/6) = 1/2
cos(30 degrees) = cos (pi/6) = [sqrt(3)]/2]
sin (60 degrees) = sin(pi/3) = [sqrt(3)]/2]
1/2 - [sqrt(3)/2] / [sqrt(3)/2] = -1/2
<u>4.</u> Since angles 1 and 2 are supplementary, this means they add up to 180 degrees. Make them add up to 180 in an equation and solve for a. Substitute a back into m∠2 to find your answer.
(11a + 19) + (6a - 9) = 180
Combine like terms.
17a + 10 = 180
Subtract 10 from both sides.
17a = 170
Divide both sides by 17 to isolate and solve for the variable a.
a = 10
Substitute 10 for a into m∠2.
6(10) - 9 ==> 60 - 9 = 51
The measure of angle 2 is 51 degrees.
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<u>5.</u> Since Ray BD bisects ∠ABC that means that both the formed angles are equal to each other, so make them equal to each other in an equation.
5y - 3 = 2y + 12
Add 3 to both sides.
5y = 2y + 15
Subtract 2y from both sides.
3y = 15
Divide both sides by 3 to isolate and solve for the variable y.
y = 5
