Answer:
1/3
Step-by-step explanation:
To change from one base to another, we use the formula
Logb x = Loga x/Loga b
log1/9 (3^(1/3) /3)
log3 ((3^(1/3) /3))
-------------------------
log3 (1/9)
Log a /b = log a - log b
and 1/9 = 3^-2
log3 ((3^(1/3) ) - log3 (3)
-------------------------
log3 (3^-2)
log a^b = blog a
1/3 log3 (3 ) - log3 (3)
-------------------------
-2log3 (3)
We know log3 (3) =1
1/3 (1) - 1
-------------------------
-2 (1)
1/3 - 1
-------------------------
-2
-2/3
------
-2
Copy dot flip
-2/3 * -1/2
1/3
Step-by-step explanation:
the area of a trapezoid is
(b1 + b2)/2 × h = (10 + 5)/2 × 4 = 15 × 2 = 30 in²
Answer:
Should be 25
Step-by-step explanation:
Answer:
m < -
Step-by-step explanation:
8m + 95 < -87m + 5
8m + 87m < 5 - 95
95m < -90
m < -<u>
</u>
Simplifying gives;
m < -
Answer:
P = 16x + 8
Step-by-step explanation:
Perimeter of a rectangle
= 2(L + W)
Given
L = 5x + 4 and
W = 3x
Therefore
Perimeter = 2(5x + 4 + 3x)
Rearrange the expression
P = 2(5x + 3x + 4)
P = 2(8x + 4)
Now expand the bracket
P = 2 x 8x + 2 x 4
P = 16x + 8