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8 months ago

Given the following 2 equations, state whether these equations are parallel, perpendicular, or neither.

Mathematics

1 answer:

stiks02 [169]8 months ago

3 0

Answer:

Neither

Explanation:

The slope-intercept form of the equation of a line is generally given as;

$y=mx+b$

where m = the slope of the line

b = the y-intercept of the line

Two lines are said to be parallel if they have the same slope. Looking at the two given equations below, we see that the slope of the 1st one, 5/7, is different from the slope of the 2nd one, 7/5;

$\begin{gathered} y=\frac{5}{7}x+14 \\ y=\frac{7}{5}x-20 \end{gathered}$

Two lines are said to be perpendicular if their slopes are negative reciprocals of each other, let's go ahead and compare their slopes;

$\begin{gathered} m_1=\frac{5}{7} \\ m_2=\frac{7}{5} \\ \therefore m_2=\frac{1}{m_1_{}} \end{gathered}$

So the two lines are not perpendicular to each other. It, therefore, means that the correct answer will be Neither.

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Answer:

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Step-by-step explanation:

Slope = $\frac{change in y }{change in x }$

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2 years ago

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2 years ago

Skylar is filling a barrel with water. The graph shows the relationship between time in minutes and the gallons of water in the

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Answer:

$t>15$ will be inequality which shows the times there will be more than 10 gallons in the barrel.

Step-by-step explanation:

To determine:

Write an inequality showing the times there will be more than 10 gallons in the barrel.

Information Fetching and Solution Steps:

Skylar is filling a barrel with water.

The graph shows the relationship between time in minutes and the gallons of water in the barrel.

As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.

For inequalities with 'more than', we use the 'greater than' symbol.

The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.

If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:

$t>15$

Therefore, $t>15$ will be inequality which shows the times there will be more than 10 gallons in the barrel.

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3 years ago

A jewelry company prints a hidden logo watermark. The watermark is a chord that is 0.8 cm from the center of a circular ring tha

Sergeeva-Olga [200]

Answer:

length of chord is 6cm

Step-by-step explanation:

Here, we are to calculate the length of the chord.

It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.

Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.

mathematically;

3^2 = 0.8^2 + l^2

9 = 0.64 + l^2

l^2 = 9-0.64

l^2 = 8.36

l = √(8.36)

l = 2.89 approximately

The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length

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2 years ago