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AlekseyPX
2 years ago
6

Find the equation of the line using the info given and write the answers in slope – intercept form.

Mathematics
2 answers:
Fittoniya [83]2 years ago
8 0

Step-by-step explanation:

<u>Step 1:  Find the slope of the new line</u>

To find the slope of a line perpendicular, you need to find the opposite reciprocal.  Which means that you flip the sign and put the number over 1.

Opposite → y = -3 → y = 3

Reciprocal → y = 3 → y = \frac{1}{3}

<u>Step 1:  Find the line</u>

<u />(y-y_0) = m(x - x_0)

(y - 5) = \frac{1}{3}(x - 2)

y - 5+5 = \frac{1}{3}x-\frac{2}{3}+5

y=\frac{1}{3}x+\frac{13}{3}

Answer:  y=\frac{1}{3}x+\frac{13}{3}

Murrr4er [49]2 years ago
4 0

Answer:

y - 5 = 0(x - 2)

y - 5 = 0

y = 5

Step-by-step explanation:

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5
liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

Q(t) = Q(0)e^{rt}

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that Q(5730) = 0.5Q(0)

So

Q(t) = Q(0)e^{rt}

0.5Q(0) = Q(0)e^{5730r}

e^{5730r} = 0.5

\ln{e^{5730r}} = \ln{0.5}

5730r = \ln{0.5}

r = \frac{\ln{0.5}}{5730}

r = -0.00012

So

Q(t) = Q(0)e^{-0.00012t}

How old is the fossil?

This is t for which

Q(t) = 0.8Q(0)

So

Q(t) = Q(0)e^{-0.00012t}

0.8Q(0) = Q(0)e^{-0.00012t}

e^{-0.00012t} = 0.8

\ln{e^{-0.00012t}} = \ln{0.8}

-0.00012t = \ln{0.8}

t = -\frac{\ln{0.8}}{-0.00012}

t = 1860

The fossil is 1860 years old.

4 0
2 years ago
Consider the diagram and angle measurements shown below.
Gala2k [10]
M2 would be (3x-54) just like m5
8 0
2 years ago
List some factors of 18 and 54
Jobisdone [24]
18=3x6,9x2
54=54x1,18x3
6 0
2 years ago
The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If
frutty [35]
For this case we have the following equation:
 w = 0.9* \sqrt{E}
 Where,
 w: The weight of a spring in pounds
 E: the energy stored by the spring in joules.
 Substituting values we have:
 w = 0.9* \sqrt{12}
 Making the corresponding calculation:
 w=3.12
 Answer:
 
the approximate weight of the spring in pounds is:
 
w=3.12
4 0
3 years ago
Read 2 more answers
Which of the following is a function? A. (-4,5) (3,-3) (4,1) (9,2) B. (-4,3) (3,2) (-4,-5) (9,0)
iren [92.7K]
I would say it would most certainly have to be B
6 0
3 years ago
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