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Mice21 [21]
3 years ago
8

Compare the calculations displayed in GeoGebra with the calculations you completed in parts A through D. Look in the Algebra mar

gin too. Do the results in GeoGebra match the results you obtained earlier? If not, where do the discrepancies occur? You might have to rearrange equations algebraically to determine whether two equations match. plato
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

Please refer to the solution that I posted for Part E of the exercise. It is clear that our calculations by hand totally agree with those obtained from the software. The use of Geogebra has proved that we did the exercise correctly and the results are what should be expected from this exercise.

Step-by-step explanation:

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Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2
MariettaO [177]

Answer:

\displaystyle y=-\frac{1}{5}x+\frac{17}{5}

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

y=mx+b

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

m_1.m_2=-1

The given line has a slope m1=5, thus the slope of our required line is:

\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}

The equation of the line now can be expressed as:

\displaystyle y=-\frac{1}{5}x+b

We need to find the value of b, which can be done by using the point (7,2):

\displaystyle 2=-\frac{1}{5}*7+b

Operating:

\displaystyle 2=-\frac{7}{5}+b

Multiplying by 5:

10=-7+5b

Operating:

10+7=5b

Solving for b:

\displaystyle b=\frac{17}{5}

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}

7 0
3 years ago
Warmup/Reflection- necessary for attendance
Pepsi [2]

Answer:

x = 7

Step-by-step explanation:

-3 + 2x = 11

(group like terms)

2x = 11 + 3

2x = 14

(divide both sides by 2 to make x stand alone)

2x/2 = 14/2

x = 7

8 0
3 years ago
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