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3 years ago

What is the slope of the line that passes through the points (3,3) and (-3,-1).

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

2/3

Step-by-step explanation:

-1 - 3 = - 4

-3 - 3 = - 6

-4/-6 = 2/3

bekas [8.4K]3 years ago

5 0

$\text{Use the slope formula:}\\\\\frac{y2-y1}{x2-x1}\\\\\text{Plug in your coordinates:}\\\\\frac{-1-3}{-3-3}\\\\\text{Solve:}\\\\\frac{-1-3}{-6}\\\\\frac{-4}{-6}\\\\\boxed{\frac{4}{6}}$

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Camille shaded _1 8

san4es73 [151]

Answer:

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Step-by-step explanation:

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3 years ago

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Slav-nsk [51]

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One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds

BigorU [14]

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

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3 years ago

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Given f(x) =

sergejj [24]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.$

And we want to find:

$\displaystyle \lim_{x\to -1}f(x)$

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

$\displaystyle \lim_{x\to-1^-}f(x)$

Since we are approaching from the left, we will use the first equation:

$\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)$

By direct substitution:

$=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2$

Right-Hand Limit:

$\displaystyle \lim_{x\to -1^+}f(x)$

Since we are approaching from the right, we will use the second equation:

$=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}$

Direct substitution:

$\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2$

So, we can see that:

$\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2$

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

$\displaystyle \lim_{x \to -1}f(x)=-2$

Our answer is A.

8 0

3 years ago

Question is below ( explanation)

nalin [4]

To find the rate, you must divide the distance traveled by the time it took.

17.5 m is the distance while time it took was 5 seconds.

So,

17.5 ÷ 5 = 3.5 m/s

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3 years ago