Answer:

Step-by-step explanation:
Here, the given expression is:

Now, by logarithm rules, we know
if 
, then x =
Comparing here, b = 10 and z = 2
⇒ y = 
or, 
m = −3/4 is the correct answer. Hope this helps!
Hey there!
First, divide both sides by 12
-12(k+4)/-12= 60/-12 and you would getk+4=5
Now subtract 4 from both sides
k+4-4= 5-4
k=-9
Answer:
A = 35.42 yd²
Step-by-step explanation:
We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.
The area of a rectangle shaped figure is given by :
A = lb
Where
l is length and b is the breadth
So, put all the values,
A = (4.6)(7.7)
= 35.42 yd²
So, the area of the figure is equal to 35.42 yd².
Answer:
12 units
Step-by-step explanation:
Given the points :
R(−3, 2) - - - > S(2, 2) - - - - > T(2, −5).
Distance between R and S
Distance between two points is obtained thus :
D = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Distance between R and S
x1 = - 3 ; y1= 2 ; x2 = 2 ; y2 = 2
D1 = sqrt((2 - (-3))^2 + (2 - 2)^2)
D1 = sqrt((5^2 + 0^2))
D1 = sqrt(25)
D1 = 5
Distance between S and T
x1 = 2 ; y1= 2 ; x2 = 2 ; y2 = - 5
D2 = sqrt((2 - 2)^2 + (-5 - 2)^2)
D2 = sqrt((0^2 + (-7)^2))
D2 = sqrt(49)
D2 = 7
Hence, total length = D1 + D2 = 5 + 7 = 12 units