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ANEK [815]
2 years ago
5

Find the distance between (12,10) and (0,5)

Mathematics
1 answer:
irakobra [83]2 years ago
3 0

Answer:

length = 13

Step-by-step explanation:

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Sweety’s mother is 12 years more than twice Sweety’s age. After 8 years, she will be 20 years less than three times Sweety’s age
Anton [14]

Answer: 44

Step-by-step explanation:

Let your age be x.

Then your mother's age will be 2x + 12.

After 8 years,

Your age will be x + 8.

Your mother's age will be 3(x + 8) - 20 = 3x + 24 - 20 = 3x + 4.

This is equal to 2x + 12 + 8 = 2x + 20

2x + 20 = 3x + 4

3x - 2x = 20 - 4

= x = 16

7 0
2 years ago
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Given the table, write and equation for the function, and describe what it does.<br><br> ASAP!!!
k0ka [10]

Answer:

f(x) = 3x + 1

Step-by-step explanation:

f(x) = 3x + 1

f(1) = 3+1 = 4

f(2) = 3*2 + 1 = 7

f(3) = 3*3 + 1 = 10

f(4) = 3*4 + 1 = 13

it's a linear function with slope 3 and y intercept 1

3 0
3 years ago
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the funct
Dovator [93]

Answer:

a) Sketch the graph of the function f. (it is in the attached file)

b) What was the ratio at the beginning of 2006? At the beginning of 2014?

For 2006 the ratio is 3.92

For 2014 the ratio is 3.5

c) Over what years is the ratio constant?

[1995, 2000]

d) Over what years is the decline of the ratio greatest?

[2010, 2030]

Step-by-step explanation:

b) We first need to know in between which function 2006 falls into, so if we start in t=0=1995, then 2006-1995=11, t=11

t=11 fall into:

f(x)=-0.03t+4.25

f(11)=-0.03(11)+4.25=3.92

For 2006 the ratio is 3.92

2014:

Same process that 2006, t=0=1995, then 2014-1995=19, t=19

t=19fall into:

f(x)=-0.075t+4.925

f(19)=-0.075(11)+4.925=3.5

For 2014 the ratio is 3.5

c) The ratio is only constant in the first section of the graph 0≤t<5, since 4.1 is constant. Following the same process for the years in star (b) we have t=0, 1995+0=1995, t=5, 1995+5=2000.

The ratio will be constant between [1995, 2000]

d) For the greatest decline we need to compare slopes. From the line equation we have:

y(x)=mx+b where m is the slope and b is the point the line intersects with the y axis. Here we have:

f(x)=-0.03t+4.25  for 5≤t<15

f(x)=-0.075t+4.925  for 15≤t≤35

So:

m=-0.03 for 5≤t<15

m=-0.075 for 15≤t≤35

If we are measuring the steepness of the decline, we have to compare:

|-0.03| and |-0.075| or 0.03 and 0.075, easily finding that 0.075>0.03

And doing the sames process for the years in question (c):

t=15, 1995+15=2010, and t=35, 1995+35=2030

This means that the biggest decline is between the years:

[2010, 2030]

3 0
3 years ago
If an object is dropped from a height of 55 feet, the function d = -16^2 + 55 gives the height of the object after t seconds. Gr
motikmotik

Answer:

Approximately  1.9 seconds   (correct to nearest tenth)

Step-by-step explanation:

Looks like the function is  d = -16t^2 + 55    ( you left out the t)

The answer is the value of t when d = 0 so we have the equation:-

0 =  -16t^2 + 55

16t^2 = 55

t^2 = 55/16

t = sqrt (55/16)

= 1.85 seconds

4 0
3 years ago
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What is the area of a parallelogram with a base of 38 meters and a height of 12 meters?
8090 [49]

For this case we have by definition that the area of a parallelogram is given by:

A = b * h

Where:

b: It's the base

h: It's the height

According to the data we have:

b = 38\ m\\h = 12 \ m

Substituting in the formula:

A = 38 * 12\\A = 456

The area of the parallelogram is A = 456 \ m ^ 2

Answer:

A = 456 \ m ^ 2

4 0
3 years ago
Read 2 more answers
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