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Leno4ka [110]
3 years ago
15

The graph below shows a system of equations: Draw a line labeled y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5

, 0. Draw a line labeled y equals x minus 1 The x-coordinate of the solution to the system of equations is ___ . (5 points)
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

The x-coordinate of the solution is x=3

Step-by-step explanation:

we have

y=-x+5 ------> equation A

y=x-1 ------> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for x

x-1=-x+5

x+x=5+1

2x=6

x=3

Find the value of y

y=x-1  ------> y=3-1=2

The solution of the system of equations is the point (3,2)

therefore

The x-coordinate of the solution is x=3

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Savings and Loan Institutions.
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Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round
TEA [102]
In the right triangle, the longest side is the hypotenuse.
Let α be the angle opposite to the side with a length of 12 units, <span>then according to the Law of sines:

</span>\frac{13}{sin90^o}= \frac{12}{sin \alpha }   \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}=  \frac{12*1}{13}  \approx 0.923 \ \ \to \ m\angle  \alpha \approx 67^o

In a triangle, the three interior angles always add to 180° ⇒

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Trigonometry word problems
astraxan [27]

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3 years ago
Why is 0.71875 a rational number
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Answer:

Because it is terminating.

Step-by-step explanation:

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (F- g)(x).
yan [13]

<u>Answer:</u>

If f(x) = -3x - 5 and g(x) = 4x - 2 then (f - g)(x) = -7x - 3

<u>Solution:</u>

We need to determine the value of (f - g)(x)

Given that the function is f(x) = -3x - 5 and the other function is g(x) = 4x - 2

The value of (f - g)(x) can be found by as follows:

<em>(f - g)(x) = f(x) - g(x)</em>

On substituting the given value of f(x) and g(x) we get

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Upon solving we get

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Hence the value of (f - g)(x) is equal to -7x - 3

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3 years ago
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