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
Softa [21]
2 years ago
9

Find the slope of the line through each pair of points (11, 18) (20, 12)

Mathematics
1 answer:
JulijaS [17]2 years ago
3 0

Answer:

2/3

Step-by-step explanation:

We can find the slope by using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 12-18)/(20 -11)

   = -6/-9

 = 2/3

You might be interested in
A lacrosse player throws a ball into the air from a height of 6 feet with an initial vertical velocity of 64 feet per second. Wh
-Dominant- [34]

Answer:

Step-by-step explanation:

I'm going to use calculus to solve this, because it's the simplest way.  

The acceleration due to gravity in feet is the second derivative of the position function.  We will start with the acceleration and work backwards with antiderivatives to get to the position function.

a(t) = -32.  Going backwards and using the fact that the initial vertical velocity is 64 ft/sec, our velocity function is

v(t) = -32t + 64.  Going backwards and using the fact that the initial height of the ball is 6 feet, our position function is

s(t)=-16t^2+64t+6

The first part of this question asks us the maximum height of the ball.  From Physics, we learn that the maximum height of a projectile is reached when the velocity is 0, which happens to be right where the projectile stops for a nanosecond in the air to turn around and come back down.  We set the velocity function equal to 0 and solve for t.

0 = -32t + 64 and

0 = -32(t - 2).  By the Zero Product Property, either -32 = 0 or t - 2 = 0.  It's obvious that -32 does not equal 0, so t - 2 must equal 0.  Solving this for t:

t - 2 = 0 so

t = 2 seconds.  Since the maximum height is reached at a time of 2 seconds, we plug 2 seconds into the position function to get its position at 2 seconds (which is also the max height of the ball).

s(2)=-16(2)^2+64(2)+6 and

s(2) = -64 + 128 + 6 so

s(2) = 70 feet

Now we want to know when the ball will hit the ground.  "When" is a time value, and we know that the height of the ball on the ground is 0, so we sub in a 0 for s(t) and factor the quadratic.

Using the quadratic formula:

t=\frac{-64+/-\sqrt{4096-4(-16)(6)} }{-32} and

t=\frac{-64+/-\sqrt{4480} }{-32} which gives us the 2 solutions

t=\frac{-64+\sqrt{4480} }{-32} and

t=\frac{-64-\sqrt{4480} }{-32}

Plugging into your calculator, the first t = -.0916500 and the second t = 4.091

We all know that time cannot ever be negative, so our t value is 4.09.

Again, from Physics, we know that a projectile reaches it max height at halfway through its travels, so it just goes to follow logically that if it halfway through its travels at 2 seconds, then it will hit the ground at 4 seconds.  And it does!! How awesome is that?!

4 0
3 years ago
Simplify. 12+(38−18)2
julia-pushkina [17]
The answer is 52. remember PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you can use "please excuse my dear aunt sally" to help you remember!  :)
3 0
3 years ago
Read 2 more answers
Please answer this correctly
Illusion [34]

Answer:

$15.50

Step-by-step explanation:

0.5 (1) + 5 (3)

0.5 + 15

15.50

7 0
3 years ago
Subtract.
jeka94
(x+1)-(-2x-5)
=x+1+2x+5
=3x+6
=3(x+2)
7 0
3 years ago
Read 2 more answers
You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500
____ [38]
5 years to earn $500
3 0
3 years ago
Other questions:
  • Find the gradient of the line segment between the points (-2,2) and (0,6).<br> I
    7·1 answer
  • Solve the following quadratic equation by the square root property of equality. <br> (x-8)^2=48
    12·1 answer
  • 2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
    15·1 answer
  • Mai, Clare, and Noah are making signs to advertise the school dance. It takes Mai 6 minutes to complete a sign, it takes Clare 8
    12·2 answers
  • 38. What is the solution to 2(x - 6) = 14?
    11·2 answers
  • A farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn side. The barn and the s
    11·1 answer
  • Can someone please help me draw in this grid and help find the perimeter and area of it !
    8·1 answer
  • What graph would y^2-4x-2y-2 be? A circle, ellipse, parabola, or hyperbola?
    14·1 answer
  • (Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet fro
    11·1 answer
  • Please Help. Will mark brainliest!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!