Answer:
none of the above
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the given slope, so it is ...
m = -1/(-3/2) = 2/3
The point-slope form of the equation of the line with slope m through point (h, k) can be written ...
y = m(x -h) +k
For this slope and the point (6, 3), the equation of the line is ...
y = (2/3)(x -6) +3
y = 2/3x -4 +3
y = 2/3x -1 . . . . . matches none of the offered choices
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The attached graph shows this equation is the one that goes through the given point.
Answer:
Step-by-step explanation:
16 students study spanish, but 6 student that study spanish are also in the band.
16-6=10
So there are 10 students who only study spanish.
Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
Answer:
B
Step-by-step explanation:
In an isosceles trapezoid any lower base angle is supplementary to any upper base angle, thus
6x + 2x + 4 = 180, that is
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22 → B
Vertically compressed means multiplying the function by a number between -1 and 1
From the given options only option C contains such an expression in which x² is multiplied with a number between -1 and 1.
Thus,
G(x) = 3/4 x²
So, the correct answer is option C