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3 years ago

Which two pairs of points lie on perpendicular lines?

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Answer:

a and c

Step-by-step explanation:

Find the slope between each pair of points.

a. m = (16 − 10) / (6 − 3) = 2

b. m = (-3 − -12) / (-5 − -8) = 3

c. m = (3 − 4) / (2 − 0) = -1/2

Perpendicular lines have opposite inverse slopes. So a and c are perpendicular.

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Solve x^2 + 4x + 8 = 0

Mkey [24]

Answer:

x = -2 + 2 i or x = -2 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 4 x + 8 = 0

Subtract 8 from both sides:

x^2 + 4 x = -8

Add 4 to both sides:

x^2 + 4 x + 4 = -4

Write the left hand side as a square:

(x + 2)^2 = -4

Take the square root of both sides:

x + 2 = 2 i or x + 2 = -2 i

Subtract 2 from both sides:

x = -2 + 2 i or x + 2 = -2 i

Subtract 2 from both sides:

Answer: x = -2 + 2 i or x = -2 - 2 i

8 0

3 years ago

Out of seniors at a local high school, 60% went on the senior trip. At the hotel , one room was reserved for every 4 students .

sweet [91]

Answer:

Number of rooms reserved for the students are - 90 .

Step-by-step explanation:

Firstly ,

As we know 60% of the 600 students went on the trip,

Then ,

Number of students went on the trip = 60% of 600

= $\frac{60}{100}\times600$

= 360

Now ,

Given - One room is reserved for 4 students ,

Therefore , Number of rooms for 360 students = $\frac{360}{4}$

= 90

Hence , the answer is 90 rooms reserved for the students.

7 0

3 years ago

Find the inverse function of h(x) = -2/3x + 6.

nalin [4]

Answer:

$h^{-1}(x)=-\frac{3}{2}x+9$

Step-by-step explanation:

To find inverse of a function, follow the steps below:

1. replace h(x) with y

2. Interchange x and y

3. Solve for the new y

4. Replace y to $h^{-1}(x)$ (this is the inverse function)

Step 1: y = -2/3x+6

Step 2: x = -2/3y+6

Step 3:

$x=-\frac{2}{3}y+6\\\frac{2}{3}y=-x+6\\y=\frac{-x}{\frac{2}{3}}+\frac{6}{\frac{2}{3}}\\y=-\frac{3}{2}x+9$

Step 4:

$y=-\frac{3}{2}x+9\\h^{-1}(x)=-\frac{3}{2}x+9$

This is the inverse function.

3 0

3 years ago

Read 2 more answers

Can you. pls. solve for X?

likoan [24]

Answer:

x = 173

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

This math I just can't figure out

Elena-2011 [213]

Step-by-step explanation:

Here's the first question and how to solve the second.

So the first business start with 250, that's your b in slope.

y = mx + b

y = mx + 250

Now, they charge 14 an hour so that's your m.

y = 14x + 250

x is the number of hours it takes.

The second business is straight up 22 per hour, so it's just y = mx, where b is 0.

y = 22x VS y = 14x + 250

Try plugging in different numbers and seeing how much it take to level out!

4 0

4 years ago