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3 years ago

What ratio is equivalent to 3:4

Mathematics

1 answer:

Rashid [163]3 years ago

4 0

Answer:

Step-by-step explanation:

A) 30:40=3:4

B) 30:70=3:7

C) 2:1

D) 8:6=4:3

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Write an equation for the line perpendicular to y=2x-5 through the point (8,-2)

Jobisdone [24]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

We have the following equation of the line:

$y = 2x-5$

Then $m_ {1} = 2$

We find $m_ {2}:$

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {2}\\m_ {2} = - \frac {1} {2}$

Thus, the perpendicular line will be of the form:

$y = - \frac {1} {2} x + b$

We substitute the given point and find "b":

$-2 = - \frac {1} {2} (8) + b$

$-2 = -4 + b\\-2 + 4 = b\\b = 2$

Finally, the equation is of the form:

$y = - \frac {1} {2} x + 2$

ANswer:

$y = - \frac {1} {2} x + 2$

4 0

3 years ago

If you invest $3,900 at a 7.83% simple annual interest rate, approximately how long will it take for you to have a total of $10,

densk [106]

Apply simple interest formula
future value = present value (1+n*rate)
n=number of years
rate = annual interest rate in decimal

Plug in values,
10000=3900(1+0.0783*t)
1+0.0783t=10000/3900
t=(10000/3900-1)/0.0783
=19.98 years.

With compound interest, future value=present value (1+rate/n)^(nt)
n=1,rate=0.0783, future value=10000, present value=3900,
t=log(10000/3900)/log(1.0783)=12.49 years.

4 0

3 years ago

Read 2 more answers

Ms. Sheppard cuts 12 of a piece of construction paper. She uses 16 of the piece to make a flower. What fraction of the sheet of

dimaraw [331]

Answer:

12/16 or 3/4

Step-by-step explanation:

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3 years ago

What is the twentieth term in the sequence 23, 43, 63, 83 …?

CaHeK987 [17]