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natita [175]
2 years ago
6

20 years ago, father's age was 5 times his son's age. Now his age is 10 years more than twice his son's present age. Find their

present ages. ​
Mathematics
1 answer:
Montano1993 [528]2 years ago
6 0

Step-by-step explanation:

x = father's age now

y = son's age now

x = 2y + 10

x - 20 = 5(y - 20) = 5y - 100

using the first in the second equation :

2y + 10 - 20 = 5y - 100

-10 = 3y - 100

90 = 3y

y = 30

x = 2y + 10 = 2×30 + 10 = 60 + 10 = 70

the father is now 70 years old, the son now 30 years old.

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Anna11 [10]
You should try both points
put  x=5/2 and y=3
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the first one is on the graph
put  x=3/2 and y=20
3-40/3≠3
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4 0
3 years ago
(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}
olasank [31]

Answer:

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Explanation:

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3 years ago
A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and
Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

<h3>How to determine the equation</h3>

The equation is a secant function represented by

y =A\sec(Bt)

Where:

A represents the amplitude

So, we have:

A = 40 --- the distance of the light from each square wall

B represents the period, and it is calculated as:

B = \frac{2\pi}{T}

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

B = \frac{2\pi}{6}

Simplify

B = \frac{\pi}{3}

Substitute values for A and B in y =A\sec(Bt)

y = 40\sec(\frac{\pi}{3}t)

Rewrite as a function

d(t) = 40\sec(\frac{\pi}{3}t)

Hence, the equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0
2 years ago
15.What must be subtracted from x 3 + 3x-8 to 2x 3 +x 2 -4x+2
Alik [6]

Answer:

Step-by-step explanation:

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8 0
3 years ago
-2(x-2)=-16 answer.
REY [17]

Answer:

-2x+4=-16

-2x = -16-4

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3 0
3 years ago
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