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tresset_1 [31]
3 years ago
13

The points (-3, 2) and (9,r) lie on a line with slope 1/2. Find the missing coordinate r.

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

8 = r; (9, 8)

Explanation:

-y₁ + y₂\-x₁ + x₂ = m

-2 + r\3 + 9 = ?\12

-2 + r = 6

+2 + 2

__________

r = 8

The reason why the expression has to equal 6 is because 6⁄12 simplifies to ½, and the numerator has to be a six in order to get the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] of ½, so there you have it.

I am joyous to assist you anytime.

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Answer:

  C.  0.006 g/cm³

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As the units tell you, density is the ratio of mass to volume. The volume of the container is found from ...

  V = πr²h = π(10 cm)²(25 cm) = 2500π cm³

Then the density is ...

  ρ = (50 g)/(2500π cm³) = 1/(50π) g/cm³

  ρ ≈ 0.006 g/cm³

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<em>Comment on the problem</em>

The "liquid" has about the same density as air pressurized to 75 psi.

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These box plots show daily low temperatures for a sample of days in two
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Answer:

C. The distribution for town A is symmetric, but the distribution for

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Step-by-step Explanation:

From the box plots attached in the diagram below, which shows data of low temperatures for town A and town B for some days, we can compare the shapes of the box plot by visually analysing both box plots and how the data for each town is distributed.

=> For town A, the shape of the box plot is symmetric because both quartiles seem equal, and the median also divides the rectangular box into two equal halves. Both whiskers also appear to be of equal lengths.

The box plot for Town A takes a symmetric shape, and this shows a typical normal distribution of data.

=> On the other hand, Town B data distribution is different. The median seem close to the top half of the box and does not divide the box into equal halves. This shows the distribution is skewed. Since the whisker is shorter from the upper end of the box to the left side, we can infer that the distribution for Town B is skewed to the left, and it is negatively skewed.

=> The right comparison of the shapes of the box plots is "C. The distribution for town A is symmetric, but the distribution for town B is negatively skewed."

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Y = f(x) = 2^x
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Answer:

The value of f(x) when x=-1 is 0.5

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Step-by-step explanation:

Given that y=f(x)=2^x

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That is to find f(-1)

Put x=-1 in the given function f(x)=2^x

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=\frac{1}{2}

=0.5

Therefore f(-1)=0.5

The value of f(x) when x=-1 is 0.5

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