Remember these two combinations: logab=loga+logb, log(a/b)=loga-logb
3logx=logx^3
(1/2)log(x+2)=log(x+2)^(1/2)
2log(z-4)=log(z-4)^2
so the given expression can be combined into log{[(x^3)(z-4)^2]/(x+2)^(1/2)}
Answer:
181 units²
Step-by-step explanation:
Let's break up the polygon into 3 shapes
Step 1: Area of the left rectangle
4(7) = 28 units²
Step 2: Area of middle rectangle
9(13) = 117 units²
Step 3: Area of top square
6² = 36 units²
Step 4: Add them all up
28 + 117 + 36 = 181 units²
Answer:
B
Step-by-step explanation:
3.2 * 10⁷ + 6.4 * 10⁷
= 10⁷ * (3.2 + 6.4)
= 10⁷ * 9.6
= 9.6 * 10⁷
Answer:
y= -3x + 8
Step-by-step explanation:
Put -2x + 6y = -4 into slope-interceltp form
Take the negative reciprocal of the slope.
Use this reciprocal in point-slope form
and you have,
= y= -3x + 8
<em>(EDITED)</em> Steps:
2x+6y = -4
6y=2x - 4
y= 1/3x + 2/3
if two lines are perpendicular,
m1 * m2 + -1
1/3 * m2 = -1
m2 = -3
the line perpendicular to this line is
y = -3x + k ; k ∈ R
the line passes through the point (5,-7)
so,
-7 = -3. (5) +k
-7 = -15 + k
k = 8
∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is
y= -3x + 8
Hope this helps, have a nice day/night! :D
Answer:
x=0
Step-by-step explanation:
