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sasho [114]
2 years ago
14

What is the value of y for the line that had a slope of -3/2 and passes through the points (3,5) and (7,y)?

Mathematics
1 answer:
Leni [432]2 years ago
7 0

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-5}{7-3}=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{3}{2}}\implies \cfrac{y-5}{4}=-\cfrac{3}{2} \\\\\\ 2y-10=-3y\implies 5y-10=0\implies 5y=10\implies y=\cfrac{10}{5}\implies y=2

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Answer:

Answer:

Both centres are best described by the median.

Step-by-step explanation:

Here is a summary of the statistics from your data.

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Rome      0     3.60  8.65  12.25     16         8.25       7.99     5.20

NY           1      2.25  4.69   6.64     20        5.45       6.39     5.91

The box plots below show that both centres are best described by the median.

The outlier in the New York data greatly distorts the mean but does not affect the median. The mean without the outlier would have been 4.45.

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Vladimir [108]

<u>Given</u>:

Let A denote the angle of the given triangle which measures ∠A = 81°

Let B denote the angle which measures ∠B = 40°

The length of the side a = x.

The length of the side b = 7 cm.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the law of sine formula.

Applying the law of sine, we have;

\frac{sin \ A}{a}=\frac{sin \ B}{b}

Substituting the values, we have;

\frac{sin \ 81^{\circ}}{x}=\frac{sin \ 40^{\circ}}{7}

Simplifying, we get;

\frac{0.988}{x}=\frac{0.643}{7}

Cross multiplying, we have;

0.988 \times 7=0.643 x

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Thus, the length of the side x is 10.8 cm.

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Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

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So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

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