When does a slope equal zero and when is it undefined

Answers

Answer 1

Answer:

Answer:

an undefined and zero slope occurs when either the numerator or denominator equals zero.

Step-by-step explanation:

Answer 2

Answer: When the slope is a horizontal, or a vertical straight line, that means that the slope is undefined, and therefore equates to 0.

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WHAT IS X AND Y, PLEAE HELP URGENTLY

Answers

Answer:

hello it's really urgent the question is to find x and y and pls help me very urgent and pls give with full method or I can't understand pls ...

The length of a rectangle is 10 mm longer than its width. Its perimeter is more than 80 mm. Let w equal thewidth of the rectangle.
(a) Write an expression for the length in terms of the width.
(b) Use these expressions to write an inequality based on the given information.
(c) Solve the inequality, clearly indicating the width of the rectangle

Answers

P=L+L+W+W=2(L+W)
P>80
2(L+W)>80
divide 2
L+W>80

L is 10 more than W
L=10+W

A. L=10+W

B. L+W>80

C.
L+W>80
sub L=10+W
10+W+W>80
minus 10
2W>70
divid 2
W>35
W is mor than 35

We know that the length (L) of the rectangle in question is 7mm longer than its width (W). Let's represent that as the following:
L=7+W

A rectangle's perimeter (the total sum of its sides) will be made my 2 sides representing the length (2L) and 2 sides representing the width (2W). We also know that this rectangle's perimeter is greater than 62. Since eventually we are solving for W, let's state all expressions in terms of W:
2L=2(7+W)
2(7+W)+2W>62
14+2W+2W>62
14+4W>62
4W>62-14
4W>48
W>48/4
W>12
If the rectangle's perimeter is greater than 62, then the width will be greater than 12. Let's confirm this:
Perimeter=2L+2W
P=2(7+12)+2(12)
P=14+24+24
P=62
So we can see that if the perimeter is to surpass 62, W needs to be greater than 12 and L ( which is also 7+W) needs to be greater than 19.

cone A has a height of 3 meters and radius of 2 meters. Cone B has the same radius, but height og 6 meters, calculate the volume of each cone. Which conclusion is correct ? The volume of cone A is twice the volume of cone B, the volume of cone Bis ywice the volume of cone A , The volume of cone B is 4 time the volume of cone A or The volume of cone B is 3 times the volume of cone A?

Answers

Answer:

The volume of cone B is twice the volume of cone A.

Step-by-step explanation:

Cone A

Height of cone = 3 m

Radius of Cone = 2 m

Volume of cone = $(1)/(3) \pi r^(2) h$

= $(1)/(3) * 3.14 * 2^(2) (3)$

= $12.56 m^3$

Cone B

Height of cone = 6 m

Radius of Cone = 2 m

Volume of cone = $(1)/(3) \pi r^(2) h$

= $(1)/(3) * 3.14 * 2^(2) (6)$

= $25.12 m^3$

Now $12.56 * 2 = 25.12$

Thus the volume of cone B is twice the volume of cone A.

The volume of Cone B is twice the volume of Cone A.

The function t(x) = x + 6 determines how many cans of soup a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on soup. The function c(x) = 2x + 4. Solve for how much money must be spent when the crew is going to work 4 shifts.(A. 24; B. 28; C. 30; D. 34)

Answers

Answer:

Option A is correct.

The amount of money must be spent when the crew is going to work 4 shifts is, 24

Step-by-step explanation:

Given the function: $t(x) = x+6$ .....[1] ; where x represents the number of shifts the crew is going to work in the truck.

Also, the crew uses c(t(x)) which represents the amount of money to spend on soup.

The function is given as:

c(x) = 2x + 4 .....[2]

To find c(t(x)) i.e, the money must be spent when the crew is going to work 4 shifts.

⇒ x = 4

First substitute the value of x in [1] to find t(x);

$t(4) = 4+6 = 10$

Then;

For x=4 ,

c(t(4)) = 2(t(4)) +4 [Using equation [2]]

Substitute the value of t(4) = 10 we have;

c(t(4)) = 2(10) +4 = 20 + 4 = 24

Therefore, the amount must be spent when the crew is going to work 4 shifts is, 24

First, you have to solve t(x) when x=4, because the crew is working 4 scripts. Which is t(x)=4+6
t(x)=10
Then, you plug in t(x) to c(x).
c(x)=2(10)+4
c(x)=24

If AD = 6 meters, which does AB equal? Select one of the options below as your answer:
A.6 meters
B.10 meters
C.12 meters
D.15 meters