All categories

3 years ago

Use slopes to determine if the lines y= -x/3- 9 and 6x – 2y = -5 are perpendicular.

Mathematics

1 answer:

WARRIOR [948]3 years ago

8 0

Answer:

They are perpendicular.

Step-by-step explanation:

When we convert the equation 6x-2y=-5 into y=mx+b form, it changes into y=3x-5/2. Since we know that perpendicular slopes are opposite reciprocal, the opposite reciprocal of -x/3 is 3. So, we know that these 2 slopes are perpendicular.

You might be interested in

Using 70 POINTS NEED YOUR HELP NOT SPAMMERS. To make an ice-cream cone, employees at an ice-cream shop completely fill the cone

san4es73 [151]

Solution for Q1:

Given is the height of ice-cream cone, h = 6 inches.

Given is the diameter of ice-cream cone, d = 2 inches. Then radius of cone would be half of diameter, r = d/2 = 1 inch.

The ice-cream without scoop would be in the shape of cone only. So we need to find the volume of cone.

We know the formula for volume of cone is given as follows :-

$Volume = \frac{1}{3} \pi r^{2} h \\\\Volume = \frac{1}{3} \pi (1)^{2} (6) \\\\Volume = \frac{6\pi}{3} = 2\pi = 2(3.14) = 6.28 \;cubic \;inches.$

So the volume is 6.28 ≈ 6 in³.

Hence, option A is correct i.e. 6 cubic inches.

Solution for Q2:

A candy is in shape of sphere with diameter, d = 0.25 inches.

Then radius of sphere, r = d/2 = 0.250/2 = 0.125 inches.

The formula for volume of sphere is given as follows :-

$Volume = \frac{4}{3} \pi r^{3} \\\\Volume = \frac{4}{3} \pi (0.125)^{3} \\\\Volume = 0.00818123 \;cubic \;inches.$

So, volume of one candy = 0.00818123 cubic inches.

There are total 120 candies in the machine.

Total volume of all 120 candies = 120 x 0.00818123 = 0.981748 cubic inches.

Hence, the total volume of all candies in the machine is about 0.982 in³.

8 0

3 years ago

Read 2 more answers

Given the slope of 3 and the y-intercept 6, write the equation in slope-intercept form.

Maslowich

9514 1404 393

Answer:

y = 3x +6

Step-by-step explanation:

Put the numbers in the formula in their corresponding places.

y = mx + b . . . . slope-intercept form with slope m, intercept b

y = 3x +6 . . . . . slope-intercept form with slope 3, intercept 6

8 0

3 years ago

242,628 written in word form

Svet_ta [14]

Two hundred forty two thousand, six hundred twenty eight.

3 0

3 years ago

Read 2 more answers

Write an expression for the situation: The total cost of 6 pens and 3 folders. A folder costs 1.15 more than a pen.

KATRIN_1 [288]

C=6x+3(x+1.15)
let x=cost of pen, let c=total cost. Cost of folder is 1.15 more than pen, so cost of folder=x+1.15

5 0

3 years ago

1. Write out the following proportions in words.

son4ous [18]

The ans is B because 3/4=1876 is a proportions

5 0

2 years ago