Answer:
-2
Step-by-step explanation:
The standard equation of a line is y = mx+c
m is the slope
c is the intercept
Given
Slope = -3
Get the intercept c;
Substitute m = -3 and (1, -9) into y = mx+c
-9 = -3(1) + c
-9 = -3 + c
c = -9 + 3
c = -6
The equation becomes
y = -3x + (-6)
y = -3x-6
f(x) = -3x-6
The zero of f occurs at f(x) = 0
0 = -3x-6
3x = -6
x = -6/3
x = -2
Hence the zero of the function is -2
Step-by-step explanation:
3c + 3s = 12.50
4c + 2s = 10.00
3S = 12.50-3c
s = 4.17 - c
4c + 2 (4.17-c) = 10.00
2c + 8.34 = 10.00
2c = 1.66
chips = 0.83
soda = 3.34
9514 1404 393
Answer:
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The given line has a slope of -1/3, so the lines we want will have slopes of ...
m1 = tan(arctan(-1/3) +45°) = 0.5 . . . . . using a calculator
m2 = tan(arctan(-1/3) -45°) = -2
Of course, these two lines are perpendicular to each other, so their slopes will have a product of -1: (0.5)(-2) = -1.
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We can use the point-slope form of the equation for a line to write the desired equations:
y = m(x -h) +k . . . . . line with slope m through point (h, k)
<u>Line 1</u>:
y = 1/2(x -2) +3
y = 1/2x +2
<u>Line 2</u>:
y = -2(x -2) +3
y = -2x +7
Answer:
The square root is 6.
Step-by-step explanation: