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3 years ago

Determine the solution set of (x - 3)2 = 49. {6, -8} {4, 10} {10, -4}

Mathematics

1 answer:

never [62]3 years ago

5 0

Answer:

{10, -4}

Step-by-step explanation:

(x-3)^2 = 49

Take the square root of each side

sqrt((x-3)^2) = sqrt(49)

x-3 = ±7

Add 3 to each side

x-3+3 = 3±7

x = 3±7

x = 3+7 and x = 3-7

x = 10 x = -4

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1)Sheyna drive to the lake and back. It took two hours less time to get there than it did to get back. The average speed on the

ipn [44]

Answer:

8 hours

Step-by-step explanation:

Given:

Sheyna drives to the lake with average speed of 60 mph and

$v_1 = 60\ mph$

Sheyna drives back from the lake with average speed of 36 mph

$v_2 = 36\ mph$

It took 2 hours less time to get there than it did to get back.

Let $t_1$ be the time taken to drive to lake.

Let $t_2$ be the time taken to drive back from lake.

$t_2-t_1 = 2$ hrs ..... (1)

To find:

Total time taken = ?

$t_1+t_2 = ?$

Solution:

Let D be the distance to lake.

Formula for time is given as:

$Time =\dfrac{Distance}{Speed }$

$t_1 = \dfrac{D}{60}\ hrs$

$t_2 = \dfrac{D}{36}\ hrs$

Putting in equation (1):

$\dfrac{D}{36}-\dfrac{D}{60} = 2\\\Rightarrow \dfrac{5D-3D}{180} = 2\\\Rightarrow \dfrac{2D}{180} = 2\\\Rightarrow D = 180\ miles$

So,

$t_1 = \dfrac{180}{60}\ hrs = 3 \ hrs$

$t_2 = \dfrac{180}{36}\ hrs = 5\ hrs$

So, the answer is:

$t_1+t_2 = \bold{8\ hrs}$

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3 years ago

Quadrilateral ABCD is similar to quadrilateral EFGH. What is the length of<br> segment BC?

prohojiy [21]

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SOVA2 [1]

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