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Readme [11.4K]
3 years ago
11

_________ is the ratio of the vertical change to the horizontal change between any two points on a line.

Mathematics
1 answer:
leva [86]3 years ago
4 0
Rate of change or slope. Hope it helps. 
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Find dy/dx by implicit differentiation and evaluate the derivative at the given point.xy = 12, (-4, -3)
mojhsa [17]
Xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4
4 0
3 years ago
Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

#SPJ1

6 0
2 years ago
Please help!!! Please helpppp!!!!?? PLEASEE I DONT WANNA FAIL I WILL MAKE BRAINLIEST &lt;3
FromTheMoon [43]

Answer:

Triangle Sum Theory

Step-by-step explanation:

You add all the angles to get 180

4 0
3 years ago
Read 2 more answers
3x-2=7????????????????
Oliga [24]

Answer:

x=3

Step-by-step explanation:

Step 1: Add two to 7 and inverse the minus 2

3x=7+2 3x=9

Step 2: Divide each number by 3.

3x/3=x and 9/3=3

so x=3

4 0
3 years ago
Find the error<br> 3(x+2) + 3x = 36<br> 3x + 6 + 3x = 36<br> 6x + 6 = 36<br> 6x = 42<br> x = 7
rusak2 [61]
Answer: 6x=42

Explanation: After the step 6x+6=36, it’ll equal 6x=30 because when you subtract the 6 on both sides, it’ll equal 30, revealing it’s actually 6x=30, with the conclusion of x=5.
3 0
3 years ago
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