Answer:
-a/b
Step-by-step explanation:
ax+by=c
First get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract ax from each side
ax+by -ax=-ax +c
by = -ax+c
Divide each side by b
by/b = -ax/b + c/b
y = -a/b * x + c/b
The slope is -a/b and the y intercept is c/b
We want the line parallel so it has the same slope, -a/b
9514 1404 393
Answer:
-7/4 < x < 8
Step-by-step explanation:
The value of y can be determined from the sum of the angles, so you know each of the angles exactly. That means you know the ratio of side lengths exactly, which lets you solve for x exactly.
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Setting that aside, we observe that angle C is greater than angle A, so side AB will be longer than side BC.
3x +15 > 4x +7
8 > x . . . . . . . . . . subtract 3x+7
We also know that the lengths of these sides must be positive. Since BC is the shorter side, we require ...
4x +7 > 0
4x > -7
x > -7/4
So, the allowable values of x are ...
-7/4 < x < 8
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<em>More complete solution</em>
If we read the figure correctly, the sum of angles is ...
(2y +12) +(4y +12) +(y -18) = 180
7y +6 = 180
y = (180 -6)/7 = 24 6/7°
Then (in degrees) ...
∠A = 2(24 6/7) +12 = 61 5/7, and ∠C = 4(24 6/7) +12 = 111 3/7
The Law of Sines tells us ...
AB/sin(C) = BC/sin(A)
sin(A)(3x +15) = sin(C)(4x+7)
x(4sin(C) -3sin(A)) = 15sin(A) -7sin(C)
x = (15sin(A) -7sin(C))/(4sin(C) -3sin(A))
x ≈ 6.1872652
200 is it the hundreds place so you round to there. The answer is 38,300 because 288 is closer to 300 than 200.
Graph using the slope and y-intercept
Slope: —1
Y-intercept:2
Answer:
C
Step-by-step explanation:
in the quadratic equation: ax^2+bx+c,
in order to factor when a=1, then we need to find values that add to b and multiply to c.
