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nalin [4]
3 years ago
12

write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercep

t of 2 and a y intercept of -6​
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:

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

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = \frac{0 - -6}{2 - 0} = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = -\frac{1}{3}

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is -\frac{1}{3}

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

-\frac{1}{3} = \frac{y - 4}{x - -6}

-\frac{1}{3} = \frac{y - 4}{x + 6}

y - 4 = -\frac{1}{3}x - 2

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

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Suppose you invest $1,600 at an annual interest rate of 4.6% compounded continuously how much will you have in the account after
DanielleElmas [232]
Total = Principal * e^(rate*years)
where "e" is the mathematical constant 2.71828182828459
Total = 1,600 * e(.046*4)
Total = 1,600 * 2.71828182828459^(.184)
Total = 1,600 * <span> <span> <span> 1.2020158231 </span> </span> </span>
Total = <span> <span> <span> 1,923.23</span></span> </span>

Source:
http://www.1728.org/rate2.htm





8 0
3 years ago
The ratio of dogs to cats at an animal shelter is 33 to 22. How many dogs are at the shelter if there is a total of 3030 animals
Elena-2011 [213]
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d  / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.
 
4 0
3 years ago
Please answer asap!!<br>​
fredd [130]

Answer:

A

Step-by-step explanation:

6 is about halfway to 16

21 is about halfway to 56

they meet up, which makes the line the most accurate

Yw :D

7 0
3 years ago
What is the value of u ?
nasty-shy [4]

Answer:

u = 47

I would explain but some people can't read

8 0
2 years ago
Read 2 more answers
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
ser-zykov [4K]

Answer:

Step-by-step explanation:

Part 1:

Let 

     Q₁ = Amount of the drug in the body after the first dose.

     Q₂ =  250 mg

As we know that after 12 hours about 4% of the drug is still present in the body.

For Q₂,

we get:

            Q₂ = 4% of Q₁ + 250

                  = (0.04 × 250) + 250

                  = 10 + 250

                  = 260 mg

Therefore, after the second dose, 260 mg of the drug is present in the body.

Now, for Q₃ :

We get;

          Q₃ = 4% of Q2 + 250

               = 0.04 × 260 + 250

               = 10.4 + 250

               = 260.4

For Q₄,

We get;

          Q₄ = 4% of Q₃ + 250 

                = 0.04 × 260.4 + 250

                = 10.416 + 250 

                = 260.416

Part 2:

To find out how large that amount is, we have to find Q₄₀.

Using the similar pattern

for Q₄₀,

We get;

           Q₄₀ = 250 + 250 × (0.04)¹ + 250 × (0.04)² + 250 × (0.04)³⁹

Taking 250 as common;

           Q₄₀ = 250 (1 + 0.04 + 0.042 + ⋯ + 0.0439)

                 = 2501 − 0.04401 − 0.04

           Q₄₀ = 260.4167

Hence, The greatest amount of antibiotics in Susan’s body is 260.4167 mg.

Part 3:

From the previous 2 components of the matter, we all know that the best quantity of the antibiotic in Susan's body is regarding 260.4167 mg and it'll occur right once she has taken the last dose. However, we have a tendency to see that already once the fourth dose she had 260.416 mg of the drug in her system, that is simply insignificantly smaller. thus we will say that beginning on the second day of treatment, double every day there'll be regarding 260.416 mg of the antibiotic in her body. Over the course of the subsequent twelve hours {the quantity|the quantity|the number} of the drug can decrease to 4% of the most amount, that is 10.4166 mg. Then the cycle can repeat.

3 0
3 years ago
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