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3 years ago

Which of the following best describes the slope of the line below? A. Zero B. Undefined C. Positive D. Negative

Mathematics

1 answer:

nadya68 [22]3 years ago

7 0

Answer:

D. negative

Step-by-step explanation:

Let's analyze each answer choice.

A. Zero

A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.

B. Undefined

A line with an undefined slope is a vertical line. The x values don't change and the y values vary.

C. Positive

When a line has a positive slope, the line increases from left to right.

D. Negative

When a line has a negative slope, the line decreases from left to right.

When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.

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Two joggers run 12 miles north and then 5 miles west. What is the shortest distance they must travel to return to their starting

Lera25 [3.4K]

Answer:

13 miles

Step-by-step explanation:

It may be easier to use a diagram but I am going to try my best to explain without one.

Picture their journey north as one side of a right angle triangle (a). Now picture their journey west as another side (b).

The shortest journey back is the hypotenuse of the triangle (c).

Using pythagoras you can work out the answer

$a^{2} + b^{2} = c^{2}$

$5^{2} + 12^{2} = c^{2}\\25 + 144 = c^{2} \\\\169 = c^{2}\\\sqrt{169} = c^{2} \\13 = c^{2}$

3 0

2 years ago

2. Carlos is installing new carpet in his house. He estimates that he can install 20

nata0808 [166]

A. 20 Carlos can install in one hour

8 0

2 years ago

Simplify the quotient 3-¹ ÷34

tatuchka [14]

Answer:

$\frac{1}{102}$

Step-by-step explanation:

1) Negative Power Rule: $x}^{-a}=\frac{1}{{x}^{a}}$ .

$\frac{1}{3}\div 34$

2) Use this rule: $a\div \frac{b}{c}=a\times \frac{c}{b}$ .

$\frac{1}{3}\times \frac{1}{34}$

3) Use this rule: $\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}$ .

$\frac{1\times 1}{3\times 34}$

4) Simplify $1\times 1$ to $1$ .

$\frac{1}{3\times 34}$

5) Simplify $3\times 34$ to $102$ .

$\frac{1}{102}$

6 0

2 years ago

-6 + (-5) + 7<br> 4<br> -4<br> -18<br> 18

NeTakaya

-6 + (-5) + 7 =
-6 - 5 + 7 =
-11 + 7 =
-4

Your final answer is -4.

4 0

3 years ago

Read 2 more answers

What processes are needed to solve for functions and their inverses? I'm about to fail this class and I need help. I'm not good

WINSTONCH [101]

Inverse functions are usually denoted as g(x) and h(x), where g(x) is the original equation and h(x) is the corresponding inverse function. You can determine if the equations are inverse of each other if a certain point (a,b) on g(x) is on h(x) as point (b,a). So, there is a pattern wherein the x and y coordinates interchange with each other. Also, you could see it visually when you graph both equations. They are mirror images of each other about line y=x or a 45° line.

One way to solve if the equations are inverse of each other is if they meet this condition:

g( h(x) ) = h( g(x) )

Suppose g(x) = 3x + 7. To find its inverse, change g(x) to y first so as not to confuse you:

y = 3x + 7
Next, interchange y and x variables
x = 3y + 7
Isolate y on one side and x on the other:
y = (x - 7)/3 = h(x)

That is the inverse equation for g(x) denoted as h(x). To check, let's verify the condition:

g((x - 7)/3) = h(3x + 7)
3(x - 7)/3) + 7 ? ((3x + 7 - 7)/3
x - 7 + 7 ? 3x/3
x = x

Therefore, g(x) and h(x) are indeed inverse functions of each other.

7 0

3 years ago