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Pie
3 years ago
13

Solve x2 - 12x + 5 = 0 by completing the square.

Mathematics
1 answer:
vodomira [7]3 years ago
5 0
The answer would be the first one, (x-6)^2=31. To explain this
first, you must expand and simplify the equation and it would look like this,
(x-6)(x-6)=31. Then, solve and simplify the equation and will look like this, "x^2 - 12x + 36 = 31". Since 36 and 31 can be simplified more.
Just transpose 31 to the left and it will become negative and it will look like this,
x^2 + 12x + 36 - 31 = 0
Then the answer would be x<span>^2 + 12x + 5 = 0</span>
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Two times a number added to another number is 25. Three times the first number minus the other number is 20
SVETLANKA909090 [29]
9 would be the first number and 7 would be the second.

8 0
3 years ago
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
Dmitriy789 [7]

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

8 0
3 years ago
Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3
Gwar [14]

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

5 0
3 years ago
How many lines of symmetry does this figure have?
Sergeeva-Olga [200]

Answer:

2

Step-by-step explanation:

There are two lines of symmetry and here I list them:

1) The first is a horizontal line that divides the square in to even parts such that the top part is the projection of the down one trough the symmetry line (and vice versa).

2) The second one is the vertical line that divides the square in two even sides. Note that this line will also divide both stars at half. The left side will be projected on the right one (and vice versa) trough the symmetry line.

A third line could be thought to be a diagonal between opposite vertices, but notice that the stars projection won't by symmetric in this case.

So, we only have 2 symmetry lines.

4 0
3 years ago
You are dealt one card from a standard 52-card deck find the probability of being dealt an ace or an 8
Firdavs [7]

there are 4 Aces and 4 8's for a total of 8 cards

52 cards in a deck

 so probability of picking an Ace or 8 = 8/52

6 0
3 years ago
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