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
VLD [36.1K]
3 years ago
14

Find the equation of the line through the points (-3-3) and (5,4) Give your answer in slope intercept form.

Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0
Hello : 

<span>Hello : let  A(-3,-3)    B(5,4)
the slope is :   (YB - YA)/(XB -XA)
(4+3)/(5+3)  =7/8
an equation is : y=ax+b     a is a slope</span>

y = (7/8)x +b

 

the line through point  (5,4) :  4 = (7/8)(5)+b<span>
<span>b = - 3/8
the equation is : y =(7/8)x- 3/8</span></span>

You might be interested in
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains liters of a dye solution with a
Alja [10]

Answer:

t = 460.52 min

Step-by-step explanation:

Here is the complete question

Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.

Solution

Let Q(t) represent the amount of dye at any time t. Q' represent the net rate of change of amount of dye in the tank. Q' = inflow - outflow.

inflow = 0 (since the incoming water contains no dye)

outflow = concentration × rate of water inflow

Concentration = Quantity/volume = Q/200

outflow = concentration × rate of water inflow = Q/200 g/liter × 2 liters/min = Q/100 g/min.

So, Q' = inflow - outflow = 0 - Q/100

Q' = -Q/100 This is our differential equation. We solve it as follows

Q'/Q = -1/100

∫Q'/Q = ∫-1/100

㏑Q  = -t/100 + c

Q(t) = e^{(-t/100 + c)} = e^{(-t/100)}e^{c}  = Ae^{(-t/100)}\\Q(t) = Ae^{(-t/100)}

when t = 0, Q = 200 L × 1 g/L = 200 g

Q(0) = 200 = Ae^{(-0/100)} = Ae^{(0)} = A\\A = 200.\\So, Q(t) = 200e^{(-t/100)}

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

2 = 200e^{(-t/100)}\\\frac{2}{200} =  e^{(-t/100)}

㏑0.01 = -t/100

t = -100㏑0.01

t = 460.52 min

6 0
3 years ago
Please answer the question
raketka [301]
Interest is $1,320.  <span><span>P is the principal amount, $6,600.
</span><span>r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
</span><span>t is the time involved, 5 years time periods.
</span><span>So, t is 5 year time periods.

</span></span>I= p x r x t

In order to get the final number just add $1,320 + $6,600 which is $7,920
7 0
3 years ago
100 POINTS PLEASE HELP ASAP!!!!!
igomit [66]
Answer:

B. act

........
6 0
3 years ago
Read 2 more answers
HELPPP DUE IN 10 more min PlEaSe NO LINKS!
kap26 [50]
9-4 and 9+(-4) I believe
7 0
2 years ago
Please help me with those questions
KengaRu [80]
I’ve attached my work...
Hope it helps!
If you have any questions, comment!
Have a nice day or night:)

6 0
2 years ago
Other questions:
  • How do you solve for t this equation? 1/3t=7
    9·2 answers
  • What is the range of y = –5sin(x)?
    5·2 answers
  • −30÷5= What is the Answer?
    9·2 answers
  • Is "how much money have people spent on toilet paper?" a statistical question?
    9·1 answer
  • Jemma wants to solve the following system using the elimination method:
    14·1 answer
  • In the circle below, DB = 22 cm, and m&lt;DBC = 60°. Find BC. Ignore my handwriting.​
    6·1 answer
  • A recipe calls for 2 1/4 cups of brown sugar.If I am only making 2/3 of the recipe , how many brown sugar should I use?
    8·2 answers
  • Find the value of c that makes the trinomial a perfect square trinomial.<br> m^2-14m+c
    12·1 answer
  • Which expression is equivalent to r to the 9th over r to the 3rd
    9·1 answer
  • Mylie planted flowers in 1/2 her garden. She planted 3 different flowers. How much of the garden does each flower have
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!