Answer:
<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>
Step-by-step explanation:
Given equation is 
<h3>To find the value of x :</h3>
First solving the given equation we have,









( by using the property
)
( by using the property
)

( by using the property
)
Since bases are same so powers are same
Therefore we can equate the powers we get x=3
<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>
Answer:
300000
30000
3000
300
Step-by-step explanation:
Use the zero's trick for 10's.
Answer:
CD = 14 cm; DE = 21 cm
Step-by-step explanation:
The perimeter is the sum of side lengths (in centimeters), so ...
CD + DE + CF + EF = 55
CD + DE + 8 + 12 = 55 . . . . . . . substittute for CF and EF
CD + DE = 35 . . . . . . . . . . . . . . subtract 20
___
The segment DF is a diagonal of the rhombus, so bisects angle D. That angle bisector divides ΔCDE into segments that are proportional. That is, ...
CD/DE = CF/EF = 8/12 = 2/3
___
So, we have two segments whose sum is 35 (cm) and whose ratio is 2 : 3. The total of "ratio units is 2+3=5, so each must stand for a length unit of 35/5 = 7 (cm). The sides are ...
CD = 2·7 cm = 14 cm
DE = 3·7 cm = 21 cm
<em>Check</em>
CD + DE = (14 +21) cm = 35 cm . . . . . matches requirements
3x - 5y = 18 over
-10x + 5y = 10
Add them because the 5y's have the right symbols for us to add
-7x = 28
Divide
x = -4
Now you can plug in -4 for x in one equation, I would use the first equation!
3(-4) - 5y = 18
-12 - 5y = 18
Add 12
-5y = 30
Divide
y = -6
Your solutions are going to be:
x = -4
y = -6
To check your work plug x and y into one equation:
3(-4) - 5(-6) = 18
-12 + 30 = 18
18 = 18
Since 18 does equal 18 you know that your solution's work!
Answer:
63
Step-by-step explanation:
the answer is 63 because 6 to the power of 2 is 36 and 3 to the power of 3 is 27 add them together you get 63