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Semmy [17]
3 years ago
7

What is the slope M of the line passing through the coordinates (2,1) and (-3,5)

Mathematics
2 answers:
Stolb23 [73]3 years ago
7 0

Answer:

the aswer is 4/-5 :)

Step-by-step explanation: (2,1) and (-3,5)

m=y2-y1

x2-x1

m= 5-1          4

    -3-2       = -5

   The slope is 4/-5 or- 0.8

Hope this help :)

Dominik [7]3 years ago
7 0

Answer:

The slope of the line passing through the points (2,1) and (-3,5) is 4/-5 or -0.8

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Which system of inequalities represents the graph?
olya-2409 [2.1K]

The required system of inequalities is:

-2x + 3y > 15

y + 3x ≥ -4

y + 11x ≥ 6

In the given graph:

The dotted line represents the equation:

-2x + 3y = 15 → line 1.

The line towards the left of the shaded region represents the equation:

y + 3x = -4 → line 2.

The line towards the right of the shaded region represents the equation:

y + 11x = 6 → line 3.

Let's take a point in the shaded region and use the equations of the line to determine the inequality.

Consider the point (-2, 6) and substitute these values in the equations of all three lines.

Line 1:

LHS of line 1 = -2x + 3y = -2(-2) + 3(6) = 4 + 18 = 22

RHS of line 2 = 15.

Therefore, LHS > RHS.

⇒The required inequality is -2x + 3y > 15. It is a strict inequality since the equation of the line is not included in the shaded region.

Line 2:

LHS of line 2 = y + 3x = 6 +3(-2) = 6 - 6 = 0

RHS of line 2 = -4

Therefore, LHS > RHS.

⇒The required inequality is y + 3x ≥ -4. The "Equal to" symbol is used because the equation of the line is included in the shaded region.

Line 3:

LHS of line 3 = y + 11x = 6 + 11(-2) = 6 - 22 = -16

RHS of line 3 = 6

Therefore, LHS < RHS.

⇒The required inequality is y + 11x ≥ 6. The "Equal to" symbol is used because the equation of the line is included in the shaded region.

Therefore, the required system of inequalities is:

-2x + 3y > 15

y + 3x ≥ -4

y + 11x ≥ 6

Learn more at:

brainly.com/question/19491153

brainly.com/question/24299265

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5 0
2 years ago
What is the solution to the equation -(5-(a+1))=9-(5-(2a-3))?
Wewaii [24]
I know the answer. It B!
5 0
3 years ago
Solve.(1 pt for work shown, 1 pt for correct answer).<br> −525 ÷ (−125)
Slav-nsk [51]
When you divide a negative bumber with a negative the result will be positive :
-525 ÷ (-125) = 4.2
6 0
3 years ago
Read 2 more answers
I need help! This pattern repeats every 4 terms. The pattern is square, hexagon, trapezoid, triangle. What is the shape in the 7
alina1380 [7]
<h3>Answer:  Trapezoid</h3>

==========================================================

Explanation:

There are two ways to do this problem.

Method 1 involves listing out the terms until we reach the seventh one.

  1. square
  2. hexagon
  3. trapezoid
  4. triangle
  5. square
  6. hexagon
  7. trapezoid
  8. triangle

We see that the trapezoid is term 7.

-------------

Method 2 is faster and the one I recommend.

Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.

7/4 = 1 remainder 3

The remainder 3 means that the answer is found in term 3, which is the trapezoid.

6 0
2 years ago
1. Calculate the speed
Nataly_w [17]

Answer:

62.5 miles per hour

Step-by-step explanation:

Given data

distance= 125m

time= 2 hours

We know that

speed= distance/time

Subsitute

Speed= 125/2

speed= 62.5 miles per hour

8 0
3 years ago
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