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3 years ago

The scale of a map is 1 inch = 15 miles on the map the distance between two cities is 5.25 inches what is the actual distance

Mathematics

1 answer:

iogann1982 [59]3 years ago

5 0

Answer:78.75

Step-by-step explanation:

15/1=78.75/5.25

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Which of the following statements are true?

NNADVOKAT [17]

Answer:

Both graphs have been shifted and flipped

Both graphs have exactly one asymptote

Step-by-step explanation:

Choice A is incorrect since both graphs are not logarithmic functions. The graph of f(x) appears to be an exponential function.

Choice B is also incorrect since both graphs are not exponential functions. The graph of g(x) does not belong to the exponential family since y can take on negative values.

When the graph of f(x) is shifted downwards and flipped, we can obtain the graph of g(x).

Both graphs have exactly one horizontal asymptote

8 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

What is the volume of this rectangular prism?

lara31 [8.8K]

Volume=(W)(H)(L)

ANSWER= 0.56

4 0

3 years ago

Read 2 more answers

Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin.

larisa86 [58]

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3 years ago

Write the equation of the line fully simplified slope-intercept form.

zmey [24]

Answer:5y=x-35

Step-by-step explanation:

The given line passes through the points $(0,-7)$ , $(10,-5)$ .

Let the slope of the line be $m$ .

If a line passes through $(x_{1},y_{1})$ and $(x_{2},y_{2})$ ,then

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

So, $m=\frac{-7-(-5)}{0-10}=\frac{1}{5}$

Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.

Let the y intercept be $b$

From the graph, $b=-7$

The equation of the line with slope $m$ and y-intercept $b$ is $y=mx+b$

So, $y=\frac{1}{5}x-7$

$5y=x-35$

5 0

3 years ago