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neonofarm [45]
4 years ago
9

Find the slope of the line that contains the points. (4,54) and (9,24)

Mathematics
2 answers:
Naya [18.7K]4 years ago
8 0
<span>the Slope would be (m) =<span>-6</span></span>
katen-ka-za [31]4 years ago
7 0
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes thorugh these points is:
m=(y₂-y₁)/(x₂-x₁)

We have two points (4,54) and (9,24) therefore the slope of the line that contains these points is:

m=(24-54)/(9-4)=-30/5=-6

Answer: the slope of the line that contains these points is m=-6
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The average value of a data set is equal to the sum of each entry divided by the number of entries. In this case, we have 5 scores, so we can find set up the following equation where x is the fifth score:

\dfrac{78+81+83+76+x}{5} = 81

Now solve for x:

78 + 81 + 83 + 76 + x = 81(5)

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How to find out the volume of a prism
slamgirl [31]

Answer:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Step-by-step explanation:

1)Write down the formula for finding the volume of a rectangular prism. The formula is simply V = length * width * height.

2)Find the length.

3)Find the width.

4)Find the height.

5)Multiply the length, the width, and the height.

6)State your answer in cubic units.

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3 years ago
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Help with this question please ASAP!! :)
Ivan

Answer:

options 1, 3, and 6.

Step-by-step explanation:

on the diagram, ∠2 is in the area of line EA and EG. If you are reading it by letters, ∠GEA is equal to ∠2 because they are in the same area. The last option (6) being ∠AEG, the middle angle is E which is the same as ∠GEA and ∠2.

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Round the number 234,679 to the nearest hundred thousand
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3 years ago
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What’s is part A?? .....
bixtya [17]

Answer:

A. 3

B. 4

C. 1

D. 2

Step-by-step explanation:

Consider all equations:

A. y=x^2 -6x+8

This is the equation of parabola with vertex at point

x_v=\dfrac{-b}{2a}=\dfrac{-(-6)}{2\cdot 1}=3\\ \\y_v=3^2-6\cdot 3+8=9-18+8=-1

The y-intercept is at point

x=0\\ \\y=0^2-6\cdot 0+8=8

Since

x^2 -6x+8=x^2-4x-2x+8=x(x-4)-2(x-4)=(x-2)(x-4),

the x-intercepts are at points (2,0) and (4,0)

The leading coefficient is 1 > 0, then the parabola opens upwards.

Hence, the graph of this parabola is 3.

B. y=(x-6)(x+8)

This parabola has two x-intercepts at points (6,0) and (-8,0).

The leading coefficient is 1 > 0, then the parabola opens upwards.

The only possible choice is parabola 4.

C. y=(x-6)^2+8

This parabola has the vertex at point (6,8), opens upwards, therefore does not intersect the x-axis.

The graph of this parabola is 1.

D. y=-(x+8)(x-6)

This parabola has two x-intercepts at points (6,0) and (-8,0).

The leading coefficient is -1 > 0, then the parabola opens downwards.

The only possible choice is parabola 2.

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3 years ago
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