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2 years ago

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Mathematics

1 answer:

lilavasa [31]2 years ago

3 0

It is the answer D, because 9 it’s in all answers

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Solve (2 - x)^2 < 4/25

Semenov [28]

Answer:

8/5 < x< 12/5

Step-by-step explanation:

(2 - x)^2 < 4/25

Take the square root of each side

sqrt((2 - x)^2) <±sqrt( 4/25)

Make two equations

2-x < 2/5 2-x > -2/5

Subtract 2 from each side

2-x-2 < 2/5 -2 2-x-2 > -2/5-2

-x < 2/5 - 10/5 -x > -2/5 - 10/5

-x < -8/5 -x > -12/5

Multiply by -1, remembering to flip the inequality

x> 8/5 x < 12/5

8/5 < x< 12/5

5 0

2 years ago

Read 2 more answers

How do i solve 2 × =66

Aleks04 [339]

Answer:

You just have to divide the equation by "x"'s coefficient (2).

2x/2=x

66/2=33

x=33

Step-by-step explanation:

5 0

2 years ago

Two boats leave a port at the same time, one going north and the other traveling south. The northbound boat travels 18 mph fast

shutvik [7]

Answer:

10 hours

Step-by-step explanation:

Two boats leave a port at the same time, one going north and the other traveling south.

<u>Southbound boat rate</u> = 40 mph

The northbound boat travels 18 mph faster than the southbound boat.

<u>Northbound boat rate</u> = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

Total distance = 980 miles

Total rate = 98 mph

Time $=980:98=10$ hours

3 0

2 years ago

The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is

marta [7]

7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.

7 0

3 years ago

Read 2 more answers

Reese went cycling in the morning .The ratio of her distance in miles to the length of time in minutes was 15:60 tease concluded

rodikova [14]

Answer:

No, she is not correct as her speed is 0.25 miles per minute.

Step-by-step explanation:

Given:

Ratio of distance to time taken is 15 : 60.

Distance is in miles and length of time is in minutes.

We know that, average speed is given as the ratio of the distance traveled and the length of the time taken.

So, the ratio above is nothing but the average speed of Reese for cycling.

Thus, average speed of Reese is given as:

$\textrm{Average speed}=\frac{Distance}{Time}\\\\\textrm{Average speed}=\frac{15}{60}\ miles\ per\ min\\\\\textrm{Average speed}=\frac{1}{4} = 0.25\ miles\ per\ min$

Therefore, the average speed of Reese is 0.25 miles per minute which is not equal to the one mentioned by Reese as 4 miles per minute.

So, Reese conclusion of her average speed is incorrect. It's not 4 but the reciprocal of 4 which is 0.25 miles per minute.

7 0

3 years ago

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