All categories

3 years ago

Is line 1 (1,5) (3,-2) and like 2 (-3,2) (4,0) perpendicular of parallel?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So remember that perpendicular lines have slopes that are negative reciprocals to each other and parallel lines have the same slope. To find out if they are either parallel or perpendicular, plug the pair of points into the slope formula to find their slopes:

$\textsf{Line 1}\\\\\frac{5-(-2)}{1-3}=-\frac{7}{2}\\\\\textsf{Line 2}\\\\\frac{0-2}{4-(-3)}=-\frac{2}{7}$

Since these slopes aren't the same nor are they negative reciprocals to each other, the lines are neither parallel nor perpendicular.

You might be interested in

Write down an (in)equality which describes the solid ball of radius 3 centered at (7,1,−1). It should have a form like x2+y2+(z−

masya89 [10]

Answer:

$(x-7)^2+(y-1)^2+(z+1)^2-9\le 0$

Step-by-step explanation:

A ball is the solid inside a surface which is a sphere.

The equation of a sphere has the form:

$(x-h)^2+(y-k)^2+(z-s)^2= r^2$

Where (h,k,s) is the center and r is the radius.

When we plug the given center (7,1,-1) and radius 3 we get:

$(x-7)^2+(y-1)^2+(z+1)^2= 3^2$

Then we turn this into an inequality: Since the ball is inside the surface we must use the $\le$ symbol.

$(x-7)^2+(y-1)^2+(z+1)^2\le 9$

Then we just subtract 9 from both sides to get:

$(x-7)^2+(y-1)^2+(z+1)^2-9\le 0$

6 0

3 years ago

Mrs. Hall's sixth graders walk laps every day on the school track. The following are the number of laps the class completed in t

MAVERICK [17]

Answer:

Here is the answer in the picture sorry I was late to answer I got busy in a zoom but here

Step-by-step explanation:

A box plot is basically a box with lines that tell you where the minimum,first quartile,median,third quartile and maximum are on a line.

So I just but all the values in order than find the minimum,first quartile,median,third quartile and maximum are and then build the box plot

(7,10,14,15,15,18,18,19,20,20,22,23)

3 0

2 years ago

Express the following relationship as a rate. Reading 30 pages in 10 minutes

xxMikexx [17]

Answer:

Step-by-step explanation:

so d=rt is the famous formula.

30= 10r

so it would be 3 pages per minute

4 0

3 years ago

Read 2 more answers

Is this always true, sometimes true, or never true?

IRINA_888 [86]

Answer:

This statement is sometimes true

7 0

2 years ago

Can you guys help me out on this? I'm still learning sign, cosign, and tangent :)

lara [203]

Answer:

1. 12/13 and 5/13

2. 5/13 and 12/13

3. The sin of <A and cos of <B are congruent.

Since "Sine" is Opposite/Hypotenuse and Cosine is adjacent hypotenuse...

The opposite of angle A is 12, and the hypotenuse is 12, therefore making 12/13.

The adjacent of angle B is 12, (The adjacent side is the side next to the opposite that is not the hypotenuse) and the hypotenuse is 13, therefore making 12/13. (The hypotenuse never changes no matter how you look at the triangle.)

Sin <A = 12/13

Cos <B= 12/13

7 0

3 years ago