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steposvetlana [31]
3 years ago
5

Which expression can be used to determine the slope of the linear function represented in the table? x 0 4 y 5 9

Mathematics
2 answers:
Kitty [74]3 years ago
6 0

Answer:

The answer is the first option 9-5/4-0

Step-by-step explanation:

Alekssandra [29.7K]3 years ago
3 0

Answer:

a)  9-5 over 4-0  is the CORRECT OPTION.

Step-by-step explanation:

Here, according to the given information:

x   0        4

y    5        9

⇒ when x = 0, y = 5 or (0,5) is a given point on function.

and when x  = 4, y = 9 or  (4,9) is a given point on function.

Now, if two such points (a,b) and (c,d) are given, then the slope S is given as:

S = (\frac{d-b}{c-a} )

So, here taking   (a,b) and (c,d)  as  (0,5)  and (4,9):

S = (\frac{9-5}{4-0} )

Hence,  9-5 over 4-0  is the CORRECT OPTION.

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Questions 16-17 | Math 1 - 0 points Solve the graph Help needed !!
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Answer:

16) The area of the circle is 25.1 units²

17) JKLM is a parallelogram but not a rectangle

Step-by-step explanation:

16) Lets talk about the area of the circle

- To find the area of the circle you must find the length of the radius

- In the problem you have the center of the circle and a point on

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* Lets solve the problem

∵ The center of the circle is (1 , 3)

∵ The point on the circle is (3 , 5)

- Using the rule of the distance between two points

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- The distance between the two points (x1 , y1) and (x2 , y2) is:

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∴ r = √[(3 - 1)² + (5 - 3)²] = √[4 + 4] = √8 = 2√2 units

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∴ The area of the circle = π (2√2)² = 8π = 25.1 units²

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17) To prove a quadrilateral is a parallelogram, prove that every

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     each other

* The parallelogram can be rectangle if two adjacent sides are

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 or its diagonals are equal in length

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* Lets find from the graph the vertices of the quadrilateral

∵ J = (0 ,2) , K (2 , 5) , L (5 , 0) , M (3 , -3)

- The opposite sides are JK , ML and JM , KL

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∵ The slop of JK = (5 - 2)/(2 - 0) = 3/2 ⇒ (1)

∵ The slope of LM = (-3 - 0)/(3 - 5)= -3/-2 = 3/2 ⇒ (2)

- From (1) and (2)

∴ JK // LM

∵ The slope of KL = (0 - 5)/(5 - 2) = -5/3 ⇒ (3)

∵ The slope of JM = (-3 - 2)/(3 - 0)= -5/3 ⇒ (4)

- From (3) and (4)

∴ KL // JM

∵ Each two opposite sides are parallel in the quadrilateral JKLM

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Answer:

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Explanation:

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x^2-(-16)x+60 = x^2+16x+60

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