What id the mean of the set? 10, 15, 14, 8, 18, 11, 12, 12, 10, 10, 17, 16
2 answers:
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<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>
<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>
Step-by-step explanation:
[ Refer to the attachment for steps ]
- We have to eliminate the highest degree coefficient in each step.
- And as in division of normal numbers we subtract the things here we do the same ,
but while subtracting we have to take care about the signs !
- The negative sign changes the negative sign into positive sign and positive sign into negative sign.
- Whereas , a positive sign don't changes the sign.
Answer:
a. -⅓
b. 3
c. y = 3x - 10
Step-by-step explanation:
a. Gradient of line AB:
A(1, 3), B(7, 1)
Gradient (m) = -⅓
b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.
Thus, the negative reciprocal of -⅓ = 3
Gradient of the line perpendicular to line AB = 3
c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:
We can write the equation using the point-slope form equation, y - b = m(x - a), where,
(a, b) represents a point on the line, and,
m = gradient/slope
We know that the gradient/slope (m) = 3
Also, a point, (a, b) = (4, 2).
Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)
Thus:
y - 2 = 3(x - 4)
y - 2 = 3x - 12
Add 2 to both sides
y = 3x - 12 + 2
y = 3x - 10