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3 years ago

What is an equation of the line that passes through the points (1, 6) and (1, 2)?

Mathematics

1 answer:

victus00 [196]3 years ago

8 0

Answer:y = -5x + 11

Step-by-step explanation:

First, find the slope (m) of the line that passes through these points:

m = (1-6) / (2-1) = -5/1 = -5

Then use the point slope formula to find the equation of the line:

m = (y-y0)/(x-x0)

-5 = (y-1)/(x-2)

-5(x-2) = y-1

y - 1 = -5x+10

y = -5x + 11

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How much money would need to be deposited into an account earning 5.25% interest compounded annually in order for the accumulate

scoundrel [369]

Answer provided by our tutors

P = the principal

t = 25 years the time in years

r = 0.0525 or 5.25% annual rate

m = 1 compounding periods per year

i = 0.0525 or 5.25% interest rate per period

n = t*m = 25 total number of compounding periods

A = $75,000 future value

A = P(1 + i)^n

P(1 + i)^n = A

P(1 + 0.0525)^25 = 75000

by solving we find:

P = $20,869.34

8 0

3 years ago

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Sep 11, 6:11:06 PM

Aloiza [94]

Answer:

5 inches

Step-by-step explanation:

First of all dont make your sentences long and second this doesnt make sence

3 0

3 years ago

Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P

scoray [572]

Answer:

$18\sqrt{10}$ units$

Step-by-step explanation:

We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.

We want to find the point on the line y=3x which is closest to Q.

Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.

If x=a, y=3a, so the point P has the coordinates (a,3a).

Distance between point Q and P

$=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}$

To minimize D, we find its derivative

$\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6$

Therefore, the y-coordinate for P is 3*6=18.

The point P=(6,18).

Next, we calculate the distance between P(6,18) and (60,0).

$D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units$

8 0

4 years ago

Andrew is showing his work in simplifying -4.5 + 4.2 + 5.6 - 7.3 Identify any errors in his work or in his reasoning Write feed

Gennadij [26K]

-4.5 + 4.2 + 5.6 - 7.3= -2.000000000000001−4.5+4.2+5.6−7.3=−2.000000000000001

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3 years ago

If a plant manufacturing carpet backing has a cylindrical tank that is 3 meters high and is 6 meters in diameter, what is the vo

Dmitry_Shevchenko [17]

For a cylindrical tank, volume = πr²h

Where r = radius = diameter/2 = 6/2 = 3m
height , h = 3m

Volume = 3.14 * 3² * 3 = 84.78

Volume ≈ 84.8 m³

Option D.

4 0

3 years ago

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