Answer:
Scalene and obtuse
Step-by-step explanation:
The triangle is scalene because all the sides are not equal, and it is obtuse because the central angle is greater than 90 degrees.
When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:
x^2 + 3x + 2 = (x+1)(x+2)
But there are other situations where factorisation can be applied. Take this quadratic:
x^2 - 9x = x(x-9)
This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.
Hence 6b + 24bc = 6b(1 + 4c).
I hope this helps you :)
Answer:
8
Step-by-step explanation:
Two different approaches:
<u>Method 1</u>
Apply radical rule √(ab) = √a√b to simplify the radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, (√98 - √50)² = (7√2 - 5√2)²
= (2√2)²
= 4 x 2
= 8
<u>Method 2</u>
Use the perfect square formula: (a - b)² = a² - 2ab + b²
where a = √98 and b = √50
So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²
= 98 - 2√98√50 + 50
= 148 - 2√98√50
Apply radical rule √(ab) = √a√b to simplify radicals:
√98 = √(49 x 2) = √49√2 = 7√2
√50 = √(25 x 2) = √25√2 = 5√2
Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)
= 148 - 140
= 8
I will assume that by "Evaluate 8(7x--3) when x=9" you meant:
"Evaluate 8(7x-3) when x=9."
First, substitute 9 for x in 7x-3: 7(9)-3 = 60. Rewrite the problem as:
8(60). Multiply. Answer: 480
Answer:
8^-3 I think (i'm too lazy to simplify)
Step-by-step explanation:
3 - 9 * 2 ÷ 3 = ?
3 - 18 ÷ 3 = ?
3 - 6 = -3
8 to the power of -3
hmmmm i dont think im right tell me if im not
