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jeyben [28]
3 years ago
5

Calculate the distance between (4,6) (5,0)

Mathematics
1 answer:
kramer3 years ago
5 0

The distance between two (4, 6) and (5, 0) is 6.08 units.

Solution:

The given points are (4, 6) and (5, 0).

x_1=4, y_1=6, x_2=5, y_2=0

<u>To find the distance between two points:</u>

Distance formula:

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

d=\sqrt{(5-4)^2+(0-6)^2}

d=\sqrt{1^2+(-6)^2}

The value of 1² = 1

The value of (–6)² = 36

d=\sqrt{1+36}

d=\sqrt{37}

d = 6.08

The distance between two (4, 6) and (5, 0) is 6.08 units.

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If the length of AB is 10 cm from the center and has a length of 12, find the approximate length from the center to CD.​
Lynna [10]

<u>Given</u>–

AB = 12 Cm

CD = 14 Cm

PO = 10 Cm

AP = 1/2 × 12 = 6 Cm

<u>Construction</u>–

Draw NO such that it is the perpendicular bisector of CB.

Hence,

ND = 1/2 × 14 = 7 Cm

To Find,

Measure of NO

<u>Solution</u>,

Here, PO Perpendicular to AB

Hence, APO is a right-angled triangle–

AO² = PO² + AP²

Or, AO² = 10 ² + 6 ²

Or, AO² = 36 + 100

Or, AO = √136 Cm

Or, AO = 11.66 Cm

Also, AO = OD = 11.66 Cm

( Radius of the same circle )

Now, in triangle OND,

OD² = ON² + ND ²

Or, 11.66 ² = ON² + 7²

Or, 136 = ON² + 49

Or, ON ² = 136 – 49

Or, ON ² = 87

Or, ON ² = √87

Or, ON = 9.3 Cm

Therefore, the appropriate length from center to CD is 9.3 Cm.

4 0
3 years ago
Select the equivalent expression.<br> (2^-4 x z^-3)^5 =<br> Choose 1 answer:
cricket20 [7]

Answer:

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Step-by-step explanation:

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Hope this helped!

8 0
3 years ago
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