What two consecutive integers does 20−−√ fall between?

Write an expression involving exponents to represent the shaded area in square inches of the diagram than use that expression to

Mazyrski [523]

The expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.

<h3>Expression involving exponents and shaded area</h3>

The expression is:

6²- (3² + 2²)

The shaded area:

Shaded area=6²- (3² + 2²)

Shaded area=36-(9+4)

Shaded area=36-13

Shaded area=23 square inches

Therefore the expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.

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6 0

2 years ago

Is 3(x + 1)2 = (3x + 3)2 an identity? Explain and show your reasoning.

Scilla [17]

Answer:

YES

Step-by-step explanation:

The equation, $3(x + 1)2 = (3x + 3)2$ , would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.

Let's find out if we would always get a true statement using different value of x.

✍️Substituting x = 1 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(1 + 1)2 = (3(1) + 3)2$

$3(2)2 = (3 + 3)2$

$12 = 12$ (TRUE)

✍️Substituting x = 2 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(2 + 1)2 = (3(2) + 3)2$

$3(3)2 = (6 + 3)2$

$18 = 18$ (TRUE)

✍️Substituting x = 3 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(3 + 1)2 = (3(3) + 3)2$

$3(4)2 = (9 + 3)2$

$24 = 24$ (TRUE)

Therefore, we can conclude that the equation, $3(x + 1)2 = (3x + 3)2$ , is an identity.

8 0

3 years ago

Evaluate (2-3) (4) - 9 -3.<br> -7<br> I<br> 11<br> 4

Delicious77 [7]

Answer:

-16

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP ME PRE CAL/TRIG

miss Akunina [59]

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference $\frac{7}{10} * (250 pi)$ = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

$\frac{250pi}{10} =\frac{200}{t}$ .

After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.

3 0

3 years ago

If f(x)=4x-7, find X if f(x) = -3.

Minchanka [31]

Well if you download the app photo math and take a photo of it. It will solve it for you

7 0

3 years ago