I would say (I am abbreviating square root to sqrt)
1. 4 sqrt(8488) = 4 sqrt(2x2x2122) = 8 sqrt(2122)
2. 3 sqrt(6936) = 3 sqrt(6x34x34) = 102 sqrt (6)
3. 2 sqrt(8648) = 2 sqrt(2x2x2162) = 4 sqrt(2162)
Since the center is considered the corner that they both share, here are the answers figure a goes with the first, figure b goes with the last, figure c goes with the second, and figure d goes with the third. Hope this helps.
Answer:
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer
Step-by-step explanation:
Let us revise some rules of exponents
×
=
×÷
= 
= 
=
. 
To simplify 
∵ 5t means 5 × t
∵ Both of them are cubed
- Use the 4th rule above
∴
= 
∵ (5)³ = 5 × 5 × 5 = 125
∴
=
= 125 t³
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed
Answer:
n = 6
Step-by-step explanation:
Two intersecting chords. The product of the parts of one chord is equal to the product of the parts of the other chord, that is
7(n + 4) = 5(n + 8) ← distribute parenthesis on both sides
7n + 28 = 5n + 40 ( subtract 5n from both sides )
2n + 28 = 40 ( subtract 28 from both sides )
2n = 12 ( divide both sides by 2 )
n = 6
Suppose the number is y >>>>>So y/2 +2y/3 <14
multiply both sides by 6>>>>>>>>>. 6y/2 +6x2y/3 <14x6
3y + 4y < 84
7y <84
y <84/7
y < 12