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3 years ago

Find the slope of the line that contains the points (2, 2) and (-7,-4).

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

3 0

Answer:

6, 9

Step-by-step explanation:

y1-y2 over x1-x2

slope formula ^^

Pavlova-9 [17]3 years ago

3 0

To find the slope (m), use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$ And plug in the two points

(-7, -4) = (x₁, y₁)

(2, 2) = (x₂, y₂)

[lines go from left to right, so the point furthest to the left is the 1st point]

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2-(-4)}{2-(-7)}$ [two negative signs cancel each other out and become positive]

$m=\frac{2+4}{2+7}$

$m=\frac{6}{9}$

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

fredd [130]

Answer:

$f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3$

First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

$y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7$

Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

6 0

2 years ago

Read 2 more answers

Experiments with repeated independent trials will be described by the binomial distribution if

bija089 [108]

Answer:

d. each trial has exactly two outcomes whose probabilities do not change

Step-by-step explanation:

A binomial experiment is one where there are exactly two outcomes for each trial and probability for getting success is constant in each trial.

In other words, each trial is independent of the other.

The trials need not be continuous nor time between trials to be constant.

Since trials are to be independent, each trial cannot influence the next.

Only option d is right.

d. each trial has exactly two outcomes whose probabilities do not change

Examples are tossing of coins, throwing dice, drawing cards or balls with replacement, etc

7 0

3 years ago

Consuela and her three friends order 2 pizzas. Consuela cuts each pizza into 8 equal slices. She saves 2 slices of pizza for her

Akimi4 [234]

Let
x--------------> the number of slices eating by Consuela and her three friends

we know that
[total slices]=8*2=16 slices
[slices of pizza for her older brother]=2
x=16-2=14 slides
Consuela and her friends share the rest of the pizza, each eating the same number of slices---------> 14/4= 3.5 slides of pizza each (this part is not necessary, but it is shown in a didactic way)

the question is
What fraction of the 2 pizzas is left over?
[slices of pizza for her older brother]/[total slices]=2/16=1/8

the answer is (1/8)

8 0

3 years ago

What is the area of this shape

alekssr [168]

Answer:

179 + 49+ 139 = 367

Step-by-step explanation:

6 0

3 years ago

12+90+x=180 I need help fast

Vinil7 [7]

Answer:

Step-by-step explanation:

102+x=180

x=180-102

x=78

3 0

2 years ago