Answer:
<h2><u><em>
2^x = 28</em></u></h2>
Step-by-step explanation:
What is the solution to the equation?
+ 4 - 12 = 20
= 20 - 4 + 12
= 16 + 12
= 28
Answer:
x=7
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
x+30−4x=4x+9−4x
−3x+30=9
Step 2: Subtract 30 from both sides.
−3x+30−30=9−30
−3x=−21
Step 3: Divide both sides by -3.
−3x
−3
=
−21
−3
<u><em>The sides of a rhombus are all congruent (the same length.)</em></u>
Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
Answer:
Step-by-step explanation:
Sum of cubes is a^3+b^3=(a+b)(a^2-ab+b^2)
64x^3+1
(4x+1)(16x^2-4x+1)