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Scilla [17]
3 years ago
12

What is the answer to this

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0

umm I don't know hehe oops

malfutka [58]3 years ago
7 0

Answer:

Length of old board = 68.2cm

Step-by-step explanation:

Let old board length be x

Given new board is 120 % longer than old board = x + 120% of x

Length of new board = 150cm

Therefore,

x + 120% of x = 150

x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm

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Solve x2 + 8x = 33 by completing the square. Which is the solution set of the equation? {–11, 3} {–3, 11} {–4, 4} {–7, 7}
HACTEHA [7]
ANSWER
x =   - 11\: or \: x =  3



EXPLANATION

The quadratic equation given to us is

{x}^{2}  + 8x = 33


We add half the square of the coefficient of
x
to both sides of the equation to obtain,

{x}^{2} + 8x +  {(4)}^{2}  = 33 +  {(4)}^{2}


This implies that,
{x}^{2} + 8x +  {(4)}^{2}  = 33 + 16

The right hand side simplifies to

{x}^{2} + 8x +  {(4)}^{2}  = 49


The left hand side is a perfect square.

This gives us


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We take the square root of both sides


x + 4 =  \pm \sqrt{49}

This evaluates to

x + 4 =  \pm 7


We make x the subject.


x =   - 4\pm 7

We now split the square root sign to get



.

x =   - 4 - 7 \: or \: x =  - 4 + 7


x =   - 11\: or \: x =  3

The correct answer is A.
7 0
3 years ago
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