(a)36 = 6
(b)81 = 9
(c)256 = 16
(d)196 = 14
Answer: A
Step-by-step explanation:
<span>6( 5-8x) +12= -54
30-48x+12=-54 this comes from distributing(multiplying) 6x5 and 6 times -8x
30+12-48x=-54 you have to add the coefficients 30+12
42-48x=-54
-42 -42
-----------------------
-48x=-96 divide by -48
x=2</span>
Note: <em>The missing graph is attached below. </em>
Answer:
'linear decreasing' best describes interval C on the graph shown.
Step-by-step explanation:
Note: <em>The missing graph is attached below. </em>
From the attached graph, it is easy to figure out that the interval C on the graph shown is showing a straight line. So the graph of the function would be linear.
Also on the interval C, the value of y is decreasing as the value of x increase. So, the slope of the straight line would be negative.
So the interval C indicates that the function is decreasing there.
Therefore, 'linear decreasing' best describes interval C on the graph shown.
Answer:
502 m²
Step-by-step explanation:
We require to find b before calculating the surface area.
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth and h is height )
Here V = 510, l = b, b = 10 and h = 3, thus
b × 10 × 3 = 510
30b = 510 ( divide both sides by 30 )
b = 17
--------------------------
The opposite faces of a cuboid are congruent, thus
top/bottom area = 2(17 × 10) = 2 × 170 = 340 m²
front/back area = 2(17 × 3) = 2 × 51 = 102 m²
sides area = 2(10 × 3) = 2 × 30 = 60 m²
Surface area = 340 + 102 + 60 = 502 m²