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
Andrej [43]
3 years ago
8

Find the slope of line passing through the two points, (7, 1) and (-2, 1).

Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

Answer: m = 0

Step-by-step explanation:

Slope (m) = y2 - y1/,x2 - x1 : meaning increase in y divided by increase in x . it can also be written as ∆y/∆x

y1= 1, y2 = 1, x1 = 7, x2 = -2

Substitute for those values in the equation above

m = 1 -1/-2 - 7

= 0/-9

Therefore,

m = 0

The slope of the line passing through those coordinates = 0

You might be interested in
Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20
zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

x+8y=-2\\x=-2-8y

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

x-3y=20\\(-2-8y)-3y=20

We can then simplify:

-2-8y-3y=20 Given equation

-2-11y=20 Combine y terms

-11y=22 Add 2

y=-2 Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

x+8y=-2

x+8(-2)=-2 Substitute for y

x-16=-2 Distribute 8

x=14 Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

4 0
3 years ago
What is the value of p?
Misha Larkins [42]

Answer:

D. 43°

Step-by-step explanation:

interior angle to 90°=90°

interior angle to 133°=47°

p=180°-47°-90°=43°

please mark as brainliest

7 0
3 years ago
Jane needs open-topped boxes to store her excess inventory at year's end. She purchases large
Debora [2.8K]

Answer:

x = 1,6 in   ( the side of the corner squares )

V(max) = 67,58 in³

Step-by-step explanation:

The cardboard is:

L = 12 in          w  =  8 in

Let´s call "x" the side of the square from the corner:

Then the sides of the base of the open box are:

( L - 2*x )    and    ( w - 2*x )     and   x is the height

( 12  -  2*x )  and  ( w  - 2*x )

V(ob) = (L - 2*x ) * (  - 2*x ) * x

Wich is a function of x

V(x) = [( 12 - 2*x ) * ( 8 - 2*x ) ]*x

V(x) = ( 96 - 24*x - 16*x + 4*x²) * x

V(x) = 96*x - 40*x² + 4*x³

Tacking derivatives on both sides of the equation

V´(x) = 12*x² - 80*x + 96

V´(x) = 0     12*x² - 80*x + 96 = 0

Solving for x

x₁,₂ = 80 ± √ 6400 - 4608 / 24

x₁,₂ = 80 ± 42,33 / 24

x₁ = 5,10       We dismiss this solution since 2*x  becomes 2*5,10 = 10,20

ant this value is bigger than 8 inches

x₂ = 1,60 in

Therefore dimensions of the box

a = 12 - 2*x     ;  a =  12 - 3,20  ;  a = 8,8 in

b = 8 - 2*x   ; b = 8 - 3,20  ; b =  4,80  in

And the volume of the open box is:

V(max) = 8,8*4,8*1,6

V(max)  =  67,58 in³

How do we Know that is the maximun value for V?

We find  V´´(x)  = 24*x - 80     for  x = 1,6 is negative ( V´´(x) = - 41,6 therefore V (x) has  a local maximun for a value of x = 1,6

3 0
3 years ago
What length is Idaho
umka21 [38]
Ccccccccccccccccccccc
8 0
3 years ago
Read 2 more answers
If the three angles of a quadrilateral are 120, 130, 100 then what is the fourth angle?
nalin [4]

Answer:

c. 40

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • If the cost is $35.96 and the desired markup is 10%, what is the price after markup? 3.60 39.56 359.60 395.60
    8·1 answer
  • Jeremy is hosting a Halloween party for 80 children.He will give each child at least one candy bar.If each bag of candy contains
    6·2 answers
  • Simply the expression 3(x+1)-2(3x+7)
    11·2 answers
  • Determine the fraction of total interest owed using the rule of 78.
    5·1 answer
  • QUESTION 10
    12·1 answer
  • At the nursery, the ratio of red flowers to yellow flowers is 5:4. If there are 28 yellow flowers, how many red flowers are ther
    7·1 answer
  • Need help! due today
    6·1 answer
  • 6a-2z<br> Please help me
    12·2 answers
  • What is least to greatest 2/8 2/1 3/4 5/6 7/6​
    12·1 answer
  • 3/a times x -4 equals 20
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!