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3 years ago

Write an equation of the line passing through each of the following pairs of points. (4,-8), (0,2)

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

Step-by-step explanation:

m= $\frac{2-(-8)}{0-4}$ = $\frac{10}{-4}$ = -2.5

this may be right but I do not know

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what is the volume, in cubic inches, of a rectangular prism with a height of 5 inches, a width of 15 inches, and a length of 2 i

nlexa [21]

Answer:

150 in^3

Step-by-step explanation:

5 * 15 * 2 = 150

5 0

3 years ago

Write a rule for g and then graph each function. Describe the graph of g as a transformation.

GuDViN [60]

Hey I need help on that too. Do you want to be friends with me??

7 0

3 years ago

A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day

-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

$A(t) = A(0)e^{-kt}$

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

$A(t) = A(0)e^{-0.1392t}$

Find the substance's half life, in days.

This is t for which $A(t) = 0.5A(0)$ . So

$A(t) = A(0)e^{-0.1392t}$

$0.5A(0) = A(0)e^{-0.1392t}$

$e^{-0.1392t} = 0.5$

$\ln{e^{-0.1392t}} = \ln{0.5}$

$-0.1392t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.1392}$

$t = 4.98$

The substance half-life is of 4.98 days.

5 0

3 years ago

A circle is centered at the point (-3,2) and passes through the point (1,5). What is the radius of the circle?

Akimi4 [234]

Answer:

Step-by-step explanation:

The radius is a distance on a circle from the center to a point on the circle.

We have both of these points describe here in this definition. Using the distance formula will give us the radius.

$\sqrt{(x \text{ difference })^2+(y \text{ difference})^2$

The difference between 1 and -3 is 1-(-3)=4.

The difference between 5 and 2 is 5-2=3.

$\sqrt{4^2+3^2}$

$\sqrt{16+9}$

$\sqrt{25}$

$5$

8 0

3 years ago

The length of a rectangle is 3 less than twice the width. Write a function rule for the perimeter in terms of w, the width

Nitella [24]

l = 2w-3

P = 2(l+w)

substitute in for l

P = 2(2w-3 +w)

combine like terms

P = 2(3w-3)

P = 6w-6

P(w) = 6(w-1)

3 0

3 years ago

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