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2 years ago

What is 2 x 10 to the fourth power - 7 to the fourth power?

Mathematics

1 answer:

allochka39001 [22]2 years ago

5 0

Answer:

10^4 = 10 x 10 x 10 x 10 = 10,000. 2 x 10,000 = 20,000. 7^4 = 7 x 7 x 7 x 7 = 2,401. 20,000 - 2,401 = 17,599.

Step-by-step explanation:

hope this helps

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

2 years ago

The perimeter of a rectangular tray is 28 inches. The length of the tray is 2 inches longer the width of the tray. Determine the

sergeinik [125]

Step-by-step explanation:

perimeter=28

length=2x

width=x

28=2(x+2x)

28=2x+4x

28=6x

28/6=6x/6

4.67=x

width=4.67

length=2×4.67

=9.34

4 0

2 years ago

Jose is purchasing 4 dress shirts that cost $28 each and 2 pairs of pants that costs

marta [7]

28 / 4 will get the unit rate for dress shirts but you have to tell the costs of the pairs of pants

5 0

2 years ago

Macs farm has a total of 18 horses and 27 cows. what is the ratio of horses to cows in simplest form?

Evgesh-ka [11]

The ratio is basically finding the quotient of two numbers. If you want to find the ratio of horses to cows, divide the number of horses to that of cows.

Ratio = 18/27

When expressing it to its simplest form, make sure it is reduced. 18 and 27 are both factors of 9. So,

Ratio = 9*2/9*3
Cancelling out 9, the ratio at its simplest form is: 2/3

7 0

2 years ago

You want to convert 50°F to degrees Celsius. Solve the formula for C, and then use it to convert the temperature. What is the co

Zepler [3.9K]

9514 1404 393

Answer:

C = (5/9)(F -32)
50°F ⇒ 10°C

Step-by-step explanation:

Starting with the formula for degrees Fahrenheit, we can solve for degrees Celsius.

F = 32 +9/5C

F -32 = (9/5)C . . . . . subtract 32

(5/9)(F -32) = C . . . . multiply by the inverse of the coefficient of C

The formula for Celsius temperature from Fahrenheit temperature is ...

C = (5/9)(F -32)

For F = 50, the corresponding Celsius temperature is ...

C = (5/9)(50 -32) = (5/9)(18) = 10 . . . degrees Celsius

5 0

2 years ago