7√7
using the ' rule of radicals '
• √a × √b ⇔ √ab
simplifying the radicals
√28 = √(4 × 7 ) = √4 × √7 = 2√7
√63 = √(9 × 7) =√9 × √7 = 3√7
√112 = √(16 × 7 ) = √16 × √7 = 4√7
substituting into the expression
3(2√7) - 5(3√7) + 4(4√7) = 6√7 - 15√7 + 16√7 = 7√7
Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A= = = 4
32- 4 = 28 units sqr
Answer:
x² + 5x + 6
Step-by-step explanation:
Foil means first, outside, inside, last
First: (x+2)(x+3)
x × x = x²
Inside: (x+2)(x+3)
x × 3 = 3x
Ouside: (x+2)(x+3)
2 × x = 2x
Last: (x+2)(x+3)
2 × 3 = 6
adding them together:
x² + 3x + 2x + 6 = x² + 5x + 6
Answer:
3(n-5)=2n+16
Step-by-step explanation:
3 lots of 'n' <em>and </em>5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)
3(5 - n)
16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have
2n + 16
if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.
3(n-5) = 2n+16
:)