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lions [1.4K]
3 years ago
9

Please help4(4+2x)=x(x+5)​

Mathematics
1 answer:
lapo4ka [179]3 years ago
3 0

Answer:

EF = 6

Step-by-step explanation:

Using the secant- secant power theorem, that is

GF × GE = GH × GS

4(4 + 2x) = 5(5 + x) ← distribute both sides

16 + 8x = 25 + 5x ( subtract 5x from both sides )

16 + 3x = 25 ( subtract 16 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Then

EF = 2x = 2 × 3 = 6

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Help please !!! At a local Brownsville play production, 420 tickets were sold. The ticket prices varied on the seating
Radda [10]

Answer:

n = 12$    x = 8$   y = 10$     where n, x, and y are number of tickets

12 n + 8 x + 10 y = 3920     and n + x + y = 420

12n + 8 (x + y) + 2 y = 3920

12 n + 8 (5 n) + 2 y = 3920        since 5 (x + y) = n

52 n + 2 y = 3920   or  y = 1960 - 26 n

Also, n + x + y = 420   or n + 5 n = 420   since x + y = 5 n

n = 70    so 70 of the $12 were sold

And since y = 1960 - 26 n     we have y = 140 tickets

Now 12 * 70 + 8 x + 140 * 10 = 3920

This gives x = 210 tickets

Check:   210 + 140 + 70 = 420 tickets

Also, 12 * 70 + 210 * 8 + 140 * 10 = 3920

7 0
3 years ago
The sum of a number and 72 times its reciprocal is -17. Find the number
butalik [34]
Let, the number = x

Then, x + 72/x = -17

x² + 72 = -17x

x² + 17x + 72 = 0

x² + 8x + 9x + 72 = 0

x(x + 8) 9(x + 8) = 0

(x + 8)(x + 9) = 0

x = -8 OR -9

In short, Your Number would be: Either -9 or -8

Hope this helps!
3 0
3 years ago
What is the translation rule for this transformation?
Molodets [167]

9514 1404 393

Answer:

  (b)  T(x, y) -> (x-3, y-6)

Step-by-step explanation:

Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...

   T(x, y) ⇒ (x-3, y-6)

6 0
3 years ago
Can someone please help me on this? I've been trying to figure this out for about 20 minutes now but I don't know how to do it.
klemol [59]
Hello,

A)16x^2+24x+9=(4x)^2+2*4x*3+3^2=(4x+3)^2\\


B)4x^2-49y^2=(2x)^2-(7y)^2=(2x-7y)(2x+7y)
3 0
4 years ago
PLEASE SEE PHOTO!!!!!!!!!!1
hoa [83]

Answer:

Option D

Step-by-step explanation:

5 0
3 years ago
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