Hello!
The answer for f(x) = sqrt x is the image below. It is neither of these, so check to see if you have more answer choices. (Just make sure to pay attention to the x- and y-values that the graph is plotted on below)
I hope this helps :))
In ∆MKP and ∆MNP
MK = MN
PK = NP
MP = MP
SO ∆MKP AND ∆MNP ARE CONGRUENT.
SO m<PMN = m<PMK
m<NMK = 50
=> m<PMN + m<PMK = 50
=> 2 m<PMK = 50
=> m<PMK = 50/2 = 25°
Answer:
The length of SO is 46 units
Step-by-step explanation:
<em>In a parallelogram, </em><em>diagonals bisect each other,</em><em> which means meet each other in their mid-point</em>
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
For this case we have that by definition, the volume of a cube is given by:

Where,
- <em>s: Side of the cube
</em>
We have that the cube side is given by:

Therefore, replacing values we have:

Answer:
One way to write the volume of the cube is:
