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notsponge [240]
2 years ago
6

What is the slope of a line perpendicular to the line whose equation is

Mathematics
1 answer:
kotykmax [81]2 years ago
5 0

Answer:

slope = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 2y = - 16 ( subtract x from both sides )

2y = - x - 16 ( divide all terms by 2 )

y = - \frac{1}{2} x - 8 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2

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Select "Growth" or "Decay" to classify each function
natulia [17]

Answer:

decay

growth

decay

i'm sure im in k12 for 9 th grade please tell me if i'm right

Step-by-step explanation:

4 0
3 years ago
Determine and state the coordinates of the center and the length of the radius of the
zmey [24]

we can see that the center is (-3, 3) and the radius is 9 units.

<h3 /><h3>How to find the center and radius of the circle?</h3>

The general circle equation, for a circle with a center (a, b) and radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + y^2 + 6x = 6y + 63

Let's complete squares:

x^2 + y^2 + 6x - 6y =  63

(x^2 + 6x) + (y^2 - 6y) = 63

(x^2 + 2*3x) + (y^2 - 2*3y) = 63

Now we can add and subtract 9, (two times) so we get:

(x^2 + 2*3x + 9) - 9 + (x^2 - 2*3x + 9) - 9 = 63

(x + 3)^2 + (y - 3)^2 = 63 + 9 + 9 = 81 = 9^2

(x + 3)^2 + (y - 3)^2 = 9^2

Comparing with the general circle equation, we can see that the center is (-3, 3) and the radius is 9 units.

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
2 years ago
A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine
ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

5 0
3 years ago
Find the value of x. Round your answer to the nearest tenth.
dsp73

Answer:

The value of x is 2

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • A right angled-triangle
<h3><u>To Find</u>;</h3>
  • The value of x

Now,

tan 27 = 1/x

0.5 = 1/x

x = 1/0.5

x = 2

Thus, The value of x is 2

<u>-TheUnknownScientist 72</u>

6 0
2 years ago
Maria built a tool that checks the rate of flow of liquid from one container to another. The tool consists of a cylindrical cont
Minchanka [31]

Answer:

I think it is  c 266.3 cubic centimeters

Step-by-step explanation:

Hope this helps

7 0
2 years ago
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