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3 years ago

Choose the correct product of (8x − 4)(8x + 4).

Mathematics

2 answers:

g100num [7]3 years ago

8 0

I did the box method and my answer was 64x2 x_sqaured minus 16

fredd [130]3 years ago

3 0

64x^2+32x -32x-16 64x^2-16

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

What is the value of x, y and z?

sergeinik [125]

Answer:

The value is 25 x 6y

Step-by-step explanation:

8 0

3 years ago

Simplify – 2(7x – 3)

ANTONII [103]

All you need to do here is multiply the outside number by both 7x and -3.

When done correctly it should look like this:

-14x+6

Thats the answer.

7 times 2 gives you 14 but when multiplying mixed signs it turns negative so it would be -14.

negative 3 times negative 2 gives you 6. Both signs are negative, and you would suppose it would turn into a negative but thats only true when both signs are mixed. Both the 3 and the 2 are negative, making the signs the samez giving you positive

Dont forget to make this the brainliest answer to help those in need. also add a 5 star and a heart. thanks for the support hope it helped. have a nice day

5 0

2 years ago

Please help with this

Assoli18 [71]

Answer:

the answer is 34567

Step-by-step explanation:

im not lying just to get points

8 0

3 years ago

Which statements are true about the reflections symmetry of a regular heptagon?

lakkis [162]

Answer:

some statements that are true are :

Step-by-step explanation:

it has only 1 line of reflectional symmetry.

a line of symmetry will connect 2 vertices.

a line of symmetry will connect a vertex and a midpoint of an opposite side.

it has 7 fold symmetry.

a line of symmetry will connect the midpoints of 2 opposite sides.

3 0

2 years ago