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2 years ago

Find an equation of each line given one point and the slope : (4, 8); slope 8

Mathematics

1 answer:

Fudgin [204]2 years ago

3 0

Step-by-step explanation:

in such a case the easiest approach might be using the point-slope form of a line equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

so, in our case that would be

y - 8 = 8(x - 4)

simplified this would be

y - 8 = 8x - 32

y = 8x - 24

FYI - this would be then the slope-intercept form (-24 would be the intercept point on the y-axis).

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A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the

elena-s [515]

Answer:

$f(t)=20000(0.85)^t$

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

$f(t)=P(r)^t$

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

$f(t)=20000(0.85)^t$

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3 years ago

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estimate to draw the 1/4 inch marks on the paper strip. then fill in the blanks below whole inch is equal to __________half inch

Annette [7]

2 because 2 halfs is equal to 1 whole

4 0

3 years ago

Can someone plz help me plz ??

LUCKY_DIMON [66]

Answer:

-5/2, -2.3, sqrt2, sqrt5, 2 1/4, 2.3, 4

8 0

3 years ago

The radius of the circle x^2+y^2 +px+6y-3=0 is 4. find the possible values of p

worty [1.4K]

Here, the given equation is,

x^2+y^2+px+6y-3=0

By copairing it with x^2+y^2+2gx+2fy+c=0, we get,

2g=p or, g=p/2

2f=6 or, f=3

c=-3

now the radius is,

r^2=g^2+f^2-c

or, 4^2=(p/2)^2 +3^2 -(-3)

or, 16= p^2/4 +9+3

or, 16-9-3=p^2/4

or p^2/4=4

or, p^2=4×4

or p^2=4^2

or p=4

therefore the rewuired value of p is 4.

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3 years ago

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Evaluate the expression for x = -3 and y = - 4. 2x+2y=__.

Aleonysh [2.5K]

Answer:

-14

Step-by-step explanation:

Substitute the values for the variables.

$2(-3)+2(-4)\\-6-8\\-14$

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3 years ago

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