Answer:
B *second one down.
Step-by-step explanation:
EF = 1/2(AB + CD)
x+5 = 1/2 (2x + 2 + 2x+4) Combine the like terms on the right.
x+5 = 1/2 (4x + 6) Remove the brackets.
x+5 = 1/2*4x + 1/2*6
x+5 = 2x + 3 Subtract x from both sides
5 = 2x-x + 3
5 = x + 3 Subtract 3 from both sides
5-3 = x
x = 2
EF = x + 5
EF = 2 + 5
EF = 7
The answer is B
We have the equation y = 12x. And we know the value of x. The value of x is 3.
So, if we replace the x variable with the value of x, then we can solve the equation.
y = 12(3)
y = 36
So, the answer is 36.
Answer: <span><span>2x² + x - 2</span> (the first option)
Explanation:
1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1
2) First term of the quotient
</span><span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x²
----------------------------------
4x³ - 9x² + 3x - 2
3) Second term of the quotient:
</span>
<span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x² + x
----------------------------------
4x³ - 9x² + 3x - 2
-4x³ + x² - x
----------------------------
- 8x² + 2x - 2
4) third term of the quotient:
</span>
<span> 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
---------------------
-8x⁴ + 2x³ - 2x² 2x² + x - 2
----------------------------------
4x³ - 9x² + 3x - 2
-4x³ + x² - x
----------------------------
- 8x² + 2x - 2
8x² - 2x + 2
-------------------------
0
5) Conclusion: since the remainder is 0, the division is exact and the quotient is </span>2x² + x - 2
You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.
<span>You will need to weight those balls only twice.
You weight 6 balls, 3 on one side of weight and 3 on another, and other
3 balls you have are in your hand.
Check picture bellow</span>
A^2+b^2=C^2
=
4+144=148
The square root of 148 is 12.165
round it down to 12
Hope this helps
