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cluponka [151]
2 years ago
13

Find the slope of the line that contains the points:

Mathematics
2 answers:
tester [92]2 years ago
7 0

Answer:

1

Step-by-step explanation:

x₁ = -6  ; y₁ = 3

x₂ = -4  ; y₂ = 5

Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{5-3}{-4-[-6]}\\\\\\=\dfrac{2}{-4+6}\\\\\\=\dfrac{2}{2}\\\\\\=1

Semenov [28]2 years ago
5 0

Answer:

slope is 1

Step-by-step explanation:

5-3/-4--6 = 2/2 = 1

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A cylinder is full at 471 cubic centimeters and has a radius of 5 centimeters. it currently contains 314 centimeters of water.
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Which of the following is a solution to the following system of inequalities?
iren2701 [21]

Option D: (0,3) is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $y

Thus, we have,

Option A: (1,-1)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-1>0 is not true.

$y\leq 2 x+3 \implies -1\leq 5 is true.

Since, only one equation satisfies the condition, the coordinate (1,-1) is not a solution.

Hence, Option A is not the correct answer.

Option B: (-4,0)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies0>5 is not true.

$y\leq 2 x+3 \implies 0\leq -5 is not true.

Since, both the equations does not satisfy the condition, the coordinate (-4,0) is not a solution.

Hence, Option B is not the correct answer.

Option C: (3,-2)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-2>-2 is not true.

$y\leq 2 x+3 \implies -2\leq 9 is true.

Since, only one equation satisfies the condition, the coordinate (3,-2) is not a solution.

Hence, Option C is not the correct answer.

Option D: (0,3)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies3>1 is true.

$y\leq 2 x+3 \implies 3\leq 3 is true.

Since, both equation satisfies the condition, the coordinate (0,3) is a solution.

Hence, Option D is the correct answer.

4 0
3 years ago
-3-[(6+3)+(-5-18)]<img src="https://tex.z-dn.net/?f=-3-%5B%286%2B3%29%2B%28-5-18%29%5D" id="TexFormula1" title="-3-[(6+3)+(-5-18
dolphi86 [110]

Answer:

11

Step-by-step explanation:

3 0
2 years ago
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Yes it’s the good you’re really a good student
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Jada has read 3/5 of a book. She has read 75 pages so far. How many pages are in the whole book? Consider drawing a model to hel
Lemur [1.5K]

75 \div  \frac{3}{5}  = 125

There are 125 pages in the whole book.

//

Proof:

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