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2 years ago

Find the length of GV

Mathematics

1 answer:

levacccp [35]2 years ago

6 0

Answer:

43.92

Step-by-step explanation:

First you need the measure of angle C

180 - 90 - 37 = 53 degrees

Then use the Law of Sines with the pair you know:

sin 90 / 55 = sin 53 / x

Solve the equation

x * sin 90 / 55 = sin 53

x * sin 90 = 55 * sin 53

x = 55 * sin 53/sin 90

x = 43.92

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If f(x) = 2x + 3 and g(x) = −x + 6, use the graph to find the solution to the equation f(x) = g(x).

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Answer:

Step-by-step explanation:

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3 years ago

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20points<br> Which represents the restrictions on the radical inequality

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The second i think you did good

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Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x + 6)? T

Alenkasestr [34]

Answer:

The graph of y = f(x) will shift left 6 units, as shown in figure a.

Step-by-step explanation:

A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.

If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).

For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.

So, the graph of y = f(x) will shift left 6 units.

Keywords: graph shift, translation

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4 years ago

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Points m is the midpoint of FG. Can you determine the value of a?

GenaCL600 [577]

Using the midpoint concept, it is found that the value of a is of a = 2.

<h3>What are the coordinates of the points?</h3>

Researching this problem on a search engine, the coordinates are given as follows:

F(b + 1, a + 2).

M(3,5).

(2a, 3b+3).

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence the following system of equations can be built:

(b + 1 + 2a)/2 = 3.

b + 1 + 2a = 6.

b = 5 - 2a.

(a + 2 + 3b + 3)/2 = 5

a + 3b + 5 = 10

a + 3b = 5.

Since b = 5 - 2a, we have that:

a + 15 - 6a = 5.

5a = 10

a = 10/5

a = 2.

The value of a is of a = 2.

More can be learned about the mid-point concept at brainly.com/question/10956693

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2 years ago

Ruben rented a truck for one day. There was a base fee of $14.75 and there was an additional charge of $0.06 cents for each mile

BartSMP [9]

Given:

The base fee is, <em>b</em> = $14.75.

The charge per mile is, <em>p</em> = $0.06.

The equation for total rent is,

$C(x)=0.06x+14.75$

The objective is to find the total rental cost for 40 miles,

Explanation:

In the given equation <em>x</em> represents the miles travelled by the person.

To find the total cost 40 miles, substitute <em>x</em> = 40 in the given equation,

$C(x)=0.06(40)+14.75$

On further solving the above equation,

$\begin{gathered} C(x)=2.4+14.75 \\ =17.15\text{ dollars} \end{gathered}$

Hence, the total rental cost for 40 miles is 17.15 dollars.

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1 year ago