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3 years ago

What is n -8+4(1+5n)=-6n-14

Mathematics

1 answer:

jeka943 years ago

4 0

Answer:

n = (-5)/13

Step-by-step explanation:

Solve for n:

4 (5 n + 1) - 8 = -6 n - 14

4 (5 n + 1) = 20 n + 4:

20 n + 4 - 8 = -6 n - 14

Add like terms. 4 - 8 = -4:

20 n - 4 = -6 n - 14

Add 6 n to both sides:

20 n + 6 n - 4 = (6 n - 6 n) - 14

6 n - 6 n = 0:

20 n + 6 n - 4 = -14

20 n + 6 n = 26 n:

26 n - 4 = -14

Add 4 to both sides:

26 n + (4 - 4) = 4 - 14

4 - 4 = 0:

26 n = 4 - 14

4 - 14 = -10:

26 n = -10

Divide both sides of 26 n = -10 by 26:

(26 n)/26 = (-10)/26

26/26 = 1:

n = (-10)/26

The gcd of -10 and 26 is 2, so (-10)/26 = (2 (-5))/(2×13) = 2/2×(-5)/13 = (-5)/13:

Answer: n = (-5)/13

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Given: AC and AE are common external tangents of G and D. BC= 123 GB=20 and AG=101. What is the measure of AC?

Solnce55 [7]

Answer:

The length of AC is 222 units.

Step-by-step explanation:

Given AC and AE are common external tangents of G and D.

BC= 123 , GB=20 and AG=101.

We have to find the measure of AC.

As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,

In ΔABG, by Pythagoras theorem

$AG^2=AB^2+BG^2$

⇒ $101^2=AB^2+20^2$

⇒ $AB^2=10201-400=9801$

⇒ AB=99 units.

Hence, AC=AB+BC=99+123=222 units.

The length of AC is 222 units.

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2 years ago

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castortr0y [4]

Answer:

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Explanation:

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