Answer:
6n²√3
Step-by-step explanation:
2√3n•√9n³
The above expression can be simplified as follow:
Recall
√9 = 3
2√3n•√9n³ = 2√3n × 3√n³
Recall
m√a × n√b = mn√(a × b)
Thus,
2√3n × 3√n³ = (2×3) √(3n × n³)
2√3n × 3√n³ = 6√3n⁴
Recall:
√aᵇ = (aᵇ)¹/² = aᵇ/²
√n⁴ = n⁴/²
√n⁴ = n²
Thus,
6√3n⁴ = 6n²√3
Therefore,
2√3n•√9n³ = 6n²√3
Answer:
y=6/5+6
Step-by-step explanation:
He can put 5 of each fruit into each box without exceeding 5 kilograms.
Answer:
b. y = −0.5x + 5.5
Step-by-step explanation:
Well first we need to find the slope of line CD.
To do that we'll use the following formula,

We'll use the points (1,1) and (3,5)
So y2 is 5 y1 is 1 so 5-1 = 4
3-1 = 2
<u>Slope = 2x</u>
If the slope of line CD is 2x we can cross out choices C and D.
Two lines that are perpendicular to each other have reciprocal slopes,
meaning is the slope of line CD is 2 then its perpendicular lines slope should be -.5.
If the perpendicular line goes through point (-1,6), the y intercept would be, 5.5.
Look at the image below ↓
<em>Thus,</em>
<em>the answer is option b. y = −0.5x + 5.5.</em>
<em>Hope this helps :)</em>
Divide actual km by scale km:
54/18 = 3
Multiply scale cm by that:
3 x 3 = 9
They are 9cm apart on the map