All categories

3 years ago

A telescope is able to detect radiation with a wavelength

Mathematics

1 answer:

marissa [1.9K]3 years ago

4 0

Answer:

4.28 × 10 to the power 4

Step-by-step explanation:

The point should be moved and placed between 4 and 2. Then you have to count how many time u moved the decimal point and write it in 10 to the power form.

You might be interested in

25 POINTS AVAILABLE

myrzilka [38]

Answer:

$\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

1. We have the equation:

$(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2$

<h2 />

2. We have the center (-4, 3) and the radius r = 6. Substitute:

$(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36$

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

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

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

7 0

3 years ago

Hi I need help with this

ch4aika [34]

Answer:

well this is going to be long, but

1. 0.625

2. -0.136

3. 1.222

4. -5.075

5. -7.455

6. 4.067

7. -9.111

8. -7.833

9. 17/25

10. -1/100

11. -3 99/100

12. 8 149/200

13. 3 1/200

14. -13 3/250

15. -9 49/50

16. -10 113/250

17. your friends snapper is larger, 1320/156 > 1313/156

18. 0.13 > 1/8

19. -1 2/9 < 5/4

20. -5.175 < -5 1/6

21 -1 1/2 = -1.5, - 1 7/9 = -1.777777....

Step-by-step explanation:

sorry i didnt know which question you needed help on so i did it all, hope this helped you!! have a great day

4 0

3 years ago

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right

Agata [3.3K]

Answer:

6 StartRoot 3 EndRoot units

Step-by-step explanation:

7 0

2 years ago

$14.59 per pound for lobster or 3 pounds of lobster for $40.99

dlinn [17]

3 pounds for $40.99. For this deal you’re paying $13.66 per pound.

4 0

3 years ago

PLEASE HELP ME FAST! Thank you!!

likoan [24]

X=26

This is because KM is equal to 104 and 104 divided by 4 (due to there being 3x and x)is equal to 26 and if you do 104 + 256 you will get 360

6 0

3 years ago