1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Thepotemich [5.8K]
3 years ago
7

Find the distance between the pair of parallel lines, y = -2x+1 & y = -2x+16.

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0
15, since 16-1=15, and you can use the y-intercepts as points to measure the distance from.
You might be interested in
The quantity, Q, of a drug in the blood stream begins with 250 mg and decays to one-fifth its value over every 90 minute period.
Mazyrski [523]

Answer:

a=250 \, mg\\\\b=5\\\\T= 90'

Step-by-step explanation:

We have that Q(t) = a\cdot b^{-\frac{t}{T}} \\

Where t is the time (in minutes) and for the sake of dimensional consistency, let's assume that T is also in minutes, b is an adimensional number, and a is in mg.  So we will have Q in mg as a consequence.

We now want to find out what values these constants might take. Let's see what happens when t=0, that is, just as we start. At that point, we have that the amount of drug in the bloodstream must be equal to 250mg, thus:

Q(0)= a\cdot b ^{-\frac{0}{T} }=250\,mg\\Q(0)= a=250\,mg

We have found the constant a! It is the initial amount of drug! we have made use of the fact that any number raised to the 0th power is equal to one.

Now, we know that every 90 minutes, the amount of drug decreases to one fifth of its former value. How do we put this in mathematical form? Like so:

Q(t+90')=Q(t)/5

That is, 90 minutes after time t the amount of drug will be one fifth of the amount of drug at time t. Let's expand the last equation:

Q(t+90')=Q(t)/5\\\\a\cdot b^{-\frac{t+90'}{T} }=a\cdot b^{-\frac{t}{T} }/5\\\\ b^{-\frac{t+90'}{T} }=b^{-\frac{t}{T} }/5\\\\b^{-\frac{t}{T} }b^{-\frac{90'}{T} }=b^{-\frac{t}{T} }/5\\\\b^{-\frac{90'}{T} }=\frac{1}{5}

Now the last expression isn't enough to determine both T and b, but that also means that we have some freedom in how we choose them. What seems most simple is to pick T=90' and thus we will get:

b^{-1 }=\frac{1}{5}\\\\\frac{1}{b}= \frac{1}{5}\\\\b=5

And that is our final result.

3 0
3 years ago
Pepper Jamie has 12 picks. 1 out of every 4 pick is orange. The rest are green. How many picks are orange
Vlad [161]

your answer would be 3 picks

6 0
3 years ago
Read 2 more answers
The measures of the angles of a triangle are shown in the figure below. Solve for x.
mote1985 [20]

Answer:

X=22

Step-by-step explanation:

In a triangle all the angles add up to 180 so you add them all up and get      6x-21+69=180

                  +21

                 -69

  6x=132 132/6= 22

4 0
2 years ago
Which of the following statements are true?<br> f(x)<br> g(x)
Arturiano [62]

B

Step-by-step explanation:

because the figure is based on the graphic law

7 0
2 years ago
Group the terms with variables on one side of the equal sign and simplify.
Zepler [3.9K]

Answer:

9p = 54

Step-by-step explanation:

19p = 10p + 54

Subtract 10p on both sides,

19p - 10p = 54

9p = 54

7 0
2 years ago
Read 2 more answers
Other questions:
  • The area of a circle is 78.5 cm2.what is th3 diameter of the circle
    10·1 answer
  • 3. Timmy has a total of 15 dimes and nickels in his pocket. He has 7 more
    15·1 answer
  • blueprints of a house are drawn to the scale of 1/4 in:1 ft. A kitchen measures 3.5 in by 5 in on the blueprints. What is the ac
    11·1 answer
  • I will give brainliest
    9·2 answers
  • Exaplain how you can determine whether three metal rods can be join to from a triangle
    10·2 answers
  • Solve 3c + 4 = -4c - 17<br> A. 3<br> B. -3<br> C. 21<br> D. -21
    11·1 answer
  • During a recent rainstorm, 888 centimeters of rain fell in Dubaku's hometown, and 2.362.362, point, 36 centimeters of rain fell
    5·2 answers
  • C) Which of the items had the greatest increase in sales over the 3 years ? Give a reason for your answer
    9·1 answer
  • Write (2x)^4 without exponents
    11·2 answers
  • There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many s
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!