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3 years ago

What is the slope of line PQ?

Mathematics

1 answer:

Anit [1.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

Slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,

Slope ' $m_1$ ' = $\frac{2-2}{-8-2}$ = 0

Therefore, slope of the line PQ parallel to the x-axis = 0

Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,

Slope ' $m_2$ ' = $\frac{6+8}{8-8}$ = ∞

Therefore, slope of the line MN parallel to y-axis is undefined.

Since, angle between the x-axis and y-axis is 90°,angle at the intersection point between the lines parallel to x and y axis will be 90°.

These lines are perpendicular to each other.

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7 of 9

aleksklad [387]

Using proportions, it is found that the total volume of the glass is of 216 cm³.

<h3>What is the missing information?</h3>

The problem is incomplete, but researching it on a search engine, it is found that:

Initially, the glass is 1/3 full.

After adding 63 cm³ of orange of juice, the glass is 5/8 full.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering the volume of the glass as x, and the information given in the problem, the following equation can be built:

$\frac{x}{3} + 63 = \frac{5x}{8}$

We solve for x to find the volume of the glass as follows:

$\frac{5x}{8} - \frac{x}{3} = 63$

$\frac{15x - 8x}{24} = 63$

Then, applying cross multiplication:

7x = 24 x 63

Simplifying by 7:

x = 24 x 9

x = 216 cm³.

The total volume of the glass is of 216 cm³.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0

1 year ago

For which rational expression is –2 an excluded value of x?

Kipish [7]

Answer:

option a is the answer

Step-by-step explanation:

put the value of x in each expression as x = -2

you'll see that in option a the expression becomes

$\frac{x - 3}{ {x}^{2} - 4} = \frac{ - 2 - 3}{ {( - 2)}^{2} - 4} \\ = \frac{ - 5}{4 - 4} \\ = \frac{ - 5}{0}$

which is not defined. hence -2 is excluded value

5 0

3 years ago

Triangle XYZ has vertices at X(–2, –1), Y(–3, –6), and Z(–7, –5). If triangle XYZ is rotated 90° clockwise, what will be the coo

Delvig [45]

Answer:1. Is right 3 down 5, because to get from x(0,0) to x'(3,-5), you need I shift to the right 3 and downwards 5.

2. Counterclockwise 180 degrees. This is because 180 degrees is half of a full rotation (360 degrees), meaning the point would be the same no matter which way you rotated 180 degrees.

3. Clockwise 90 degrees. Going counter clock wise 270 degrees is like going around 3/4 of a circle (because 270/360 is 3/4). Just as well, going clock wise 90 degrees is like going 1/4 of the circle, but in the opposite direction. This means they will both land at the same point.

Hope this Helps!

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

3a+3b,for a=2 and b=4

il63 [147K]

3a + 3b, for a=2 and b=4 ... The first thing you'd do would be to plug the numbers in -

3 x 2 + 3 x 4

Then multiply them -

6 + 12

Then add -

18.

So your answer should be 18.

5 0

3 years ago

3a. 16 +25= Your answer

Andrei [34K]

Answer:

16+25=41

hope it helps.

8 0

3 years ago

Read 2 more answers