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7nadin3 [17]
3 years ago
7

12. 4x2 - 4y2 + 1622 - 16xz​

Mathematics
2 answers:
Snezhnost [94]3 years ago
5 0

Answer:

8(203-2xz)

1624-16xz

have a great day :)

strojnjashka [21]3 years ago
3 0

Answer:

2(2x^2-2y^2+811-8xz)

Step-by-step explanation:

Rewrite as :

=2*2x^2-2*2y^2+2*811-2*8xz

Factor out common term 2:

=2(2x^2-2y^2+811-8xz)

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Lisa wants to use her calculator to square a two-digit positive integer, but she accidentally enters the tens digit incorrectly.
Svetradugi [14.3K]

Answer: Correct two digit number= 24

Step-by-step explanation:

Let

x= tens digit (wrong one)

and y= zeroes digit

and z= tens digit (right one)

Now according to the statement,

(10x+y)² -  (10z+y)² = 2340

Simplifying this we get

(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13

So it could either be

x-z=1 or x-z=3

If we take the x-z=1

then 5x+y+5z=117

which is not possible as maximum value we can get from this is 99.

This leaves us with x-z=3

so 5x+y+5z= 39

Put x=3+z

We get,

y+10z= 24

Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.

Put z=2 in x=3+z , we get x=5

So the numbers become 10x+y= 54

and 10z+y= 24

Their sum is 54+24=78

Check

54²-24²= 2340 so it is correct.

7 0
3 years ago
Antonio buys a 10-pound bag of potatoes for $3.98. To the nearest cent, how much is 1 pound of potatoes?
valentinak56 [21]

Answer:

C $0.40

Step-by-step explanation:

to find how much one pound of potatoes is, you have to divide the the cost of the bad by the number of pounds ($3.98 divided by 10 pounds)

$3.98 : 10 = $0.398 = $0.40

3 0
3 years ago
2.5(4k+2)=12k solve for k
finlep [7]

Answer:

k = 2.5

Step-by-step explanation:

2.5 (4k+2) = 12k

10k + 5 = 12k

-10k

5 = 2k

5/2

2.5

3 0
3 years ago
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3 years ago
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If = 12 –3 a,find the value ofxwhen a= 8
faust18 [17]

Answer:

-12

Step-by-step explanation:

x = 12-3a

When a=8:

x = 12-3(8)

x = 12 - 24

x = -12

5 0
2 years ago
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