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lorasvet [3.4K]
3 years ago
12

Show that 2/4-x = 10/4+x is equivalent to 12x = 32 for all values of x not equal to 4 or -4

Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

See proof below

Step-by-step explanation:

Given the expression 2/4-x = 10/4+x

Cross multiply

10(4-x) = 2(4+x)

10(4) - 10x = 2(4)+ 2x

40 - 10x = 8 + 2x

-10x - 2x = 8 - 40

-12x = -32

Multiply both sides by -1

-1(-12x) = -1(-32)

12x = 32

This shows the required expression

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Divide 33 photos into three groups so the ratio is 4 to 7. What will your new ratio be?
ELEN [110]
The answer is 21 i think
7 0
3 years ago
Ted and Katie have served up a total of $94 Tata saved six dollars less than four times as much is Katie how much has Katie save
Fantom [35]

Answer:

Katie saved $20.

Step-by-step explanation:

I assume that "served" is a typo for "saved". Also, I assume that Tata and Ted are the same person.

Let the amount Katie saved = k

Then, ted saved $6 less than 4 times k, or 4k - 6.

The total saved by both is k + 4k - 6.

The total saved by both is $94.

k + 4k - 6 = 94

5k - 6 = 94

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Answer: Katie saved $20.

6 0
3 years ago
5. A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in
lesya [120]

Answer:

Thus, it is possible to erect a pole at a point p on the boundary of the park at distances 5m and 12m respectively from gates B and A.

Step-by-step explanation:

Let P be the required location of pole .

A and B are the two gates.

Let the distance of pole at p from gate be 'x' meters

i.e. PB = x m

•°• AP = (x + 7)m and AB = 13 m

•°• AP² + BP² = AB² => (x +7)² + x =13²

Rejecting x =-12, we get x = 5

•°• PB = 5m

and

AP = 12m

(I hope this helped :)

4 0
3 years ago
1/3 2/3 2/9 1/2 which fraction has the greatest value
antiseptic1488 [7]
1/2 has the greatest value
4 0
4 years ago
Just number 1 please and explain
Margarita [4]

tanS = 5/12

tanR = 12/5


ur welcome norissa

6 0
3 years ago
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