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
Marat540 [252]
3 years ago
9

Write the equation of the line that passes through the points

Mathematics
2 answers:
Vikki [24]3 years ago
8 0

Answer:

y = 5x + 8

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍

Studentka2010 [4]3 years ago
3 0

Answer:

y - 3 = 5(x + 1)  (fully reduced point-slope form)

Step-by-step explanation:

Moving from the first point to the second, we see x increasing by 2 and y by 10.  Thus, the slope of the line through these two points is m = rise / run = 10/2, or m = 5.  Applying the point-slope formula y - k = m(x - h), we get:

y - 3 = 5(x + 1)  (fully reduced point-slope form)

or   y = 3 + 5x + 5, or y = 5x + 8   (slope-intercept form)

You might be interested in
Please help me find the answer​
Ksivusya [100]

Answer:

-4 1/4

Step-by-step explanation:

-7 3/4 + 3 1/2 = -4 1/4

8 0
3 years ago
A wildlife biologist catches and releases 20 fish from two different lakes at random locations. he catches 10 fish at lake palme
JulijaS [17]
Im sorry i really dont know it
4 0
3 years ago
Read 2 more answers
Write an inequality for the graph.
ivann1987 [24]

Use y = mx + b to determine the equation of the graph, then decided the inequality symbol.

m = +5/+6 = \frac{5}{6}    b = 5

y =  \frac{5}{6}x + 5

6y = 5x + 30

-30 = 5x - 6y   ⇒   5x - 6y = -30

Now let's look at the inequality symbol:  The shaded area is below so it will be a less than symbol and it is a solid line so the equal sign is included.

Answer: 5x - 6y ≤ -30



7 0
3 years ago
Read 2 more answers
x = c1 cos(t) + c2 sin(t) is a two-parameter family of solutions of the second-order DE x'' + x = 0. Find a solution of the seco
igomit [66]

Answer:

x=-cos(t)+2sin(t)

Step-by-step explanation:

The problem is very simple, since they give us the solution from the start. However I will show you how they came to that solution:

A differential equation of the form:

a_n y^n +a_n_-_1y^{n-1}+...+a_1y'+a_oy=0

Will have a characteristic equation of the form:

a_n r^n +a_n_-_1r^{n-1}+...+a_1r+a_o=0

Where solutions r_1,r_2...,r_n are the roots from which the general solution can be found.

For real roots the solution is given by:

y(t)=c_1e^{r_1t} +c_2e^{r_2t}

For real repeated roots the solution is given by:

y(t)=c_1e^{rt} +c_2te^{rt}

For complex roots the solution is given by:

y(t)=c_1e^{\lambda t} cos(\mu t)+c_2e^{\lambda t} sin(\mu t)

Where:

r_1_,_2=\lambda \pm \mu i

Let's find the solution for x''+x=0 using the previous information:

The characteristic equation is:

r^{2} +1=0

So, the roots are given by:

r_1_,_2=0\pm \sqrt{-1} =\pm i

Therefore, the solution is:

x(t)=c_1cos(t)+c_2sin(t)

As you can see, is the same solution provided by the problem.

Moving on, let's find the derivative of x(t) in order to find the constants c_1 and c_2:

x'(t)=-c_1sin(t)+c_2cos(t)

Evaluating the initial conditions:

x(0)=-1\\\\-1=c_1cos(0)+c_2sin(0)\\\\-1=c_1

And

x'(0)=2\\\\2=-c_1sin(0)+c_2cos(0)\\\\2=c_2

Now we have found the value of the constants, the solution of the second-order IVP is:

x=-cos(t)+2sin(t)

3 0
3 years ago
Fresh local produce is sold on street corners. You can buy a bunch of 3 bananas for $2. How much would it cost for a bunch of 7
AleksandrR [38]

Answer:

14

Step-by-step explanation:

2x2x2x2x2x2x2

4 0
3 years ago
Other questions:
  • Math help please... i will be marking brainly
    12·1 answer
  • Select the equivalent expression
    12·1 answer
  • Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is
    7·1 answer
  • Is Figure A a reflection of Figure B?
    13·2 answers
  • Helpppp<br> What is the sum of the first twelve numbers of the sequence 3, 7, 11,<br> 15,...?
    12·1 answer
  • What is the correct answer? I never learned this in school
    14·2 answers
  • Candy counted to 600 by 6's, beginning with 6. Danny counted to 600 by 4's beginning with 4. How many the numbers that candy cou
    7·2 answers
  • Is this true or false? This graph represents a proportional relationship. A graph is shown. The values on the x axis are 0, 2, 4
    12·1 answer
  • Random list of rational numbers
    6·1 answer
  • WILL GIVE BRAINLIEST, ANSWER FAST PLEASE
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!