Answer:
c
Step-by-step explanation:
Since the lines are parallel their slopes are equal. So, the equation is y=4x+b
Now we need to find the y-intercept, which is b.
Now, Plug in point p to find b:
3=4*(-1)+b
b=3+4=7
The equation is: y=4x+7
Answer:
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Step-by-step explanation:
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Answer:
∠ 2 = 86°
Step-by-step explanation:
Vertical angles are congruent, thus equating gives
20x - 14 = 17x + 1 ( subtract 17x from both sides )
3x - 14 = 1 ( add 14 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Thus
∠ 2 = 20x - 14 = 20(5) - 14 = 100 - 14 = 86°
Answer:
Step-by-step explanation:
I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule. Do that by finding the determinant of the matrix, |A|. The matrix A looks like this:
2 -2 1
-1 3 2
1 -4 -3
and we find the determinant of a 3x3 by expanding it. Do that by picking up the first 2 columns and throw them on at the end, like this:
2 -2 1 2 -2
-1 3 2 -1 3
1 -4 -3 1 -4
and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:
[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to
-18 - (-19) = 1
So the determinant of the matrix A is |A| = 1.
Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:
2 -7 1 2 -7
-1 0 2 -1 0
1 1 -3 1 1
and find the determinant of y:
[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to
-15 - (-17) = 2
So the detminant of y is |Ay| = 2
We can solve for the variable now by dividing Ay by A:
2 / 1 = 2
So the solution for y = 2