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3 years ago

Find the slope of the line that goes through the points (-11, -19) & (-11, -10)

Mathematics

1 answer:

anyanavicka [17]3 years ago

4 0

Answer:

<h2>The slope is undefined</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (-11, -19) & (-11, -10)

The slope is

$m = \frac{ - 10 - - 19}{ - 11 - - 11} = \frac{ - 10 + 19}{ - 11 + 11} = - \frac{9}{0} \\$

Any number divided by zero is undefined so the slope of the line here is undefined.

Hope this helps you

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

4 years ago

The diagram represents three statements about animals at the zoo: p, q, and r.

Butoxors [25]

Answer:

15 is the total number of animals for which (p ∨ q) ∧ r true.

Step-by-step explanation:

From the diagram it is clear that

p contains {2, 5, 8, 9}

q contains {2, 4, 7, 5}

r contains {2, 4, 6, 9}

p ∨ q is the union of p and q which include all the animals which are in p, in q, or in both p and q.

Note: p ∨ q can not have duplicate animals

So,

p ∨ q = {2, 4, 5, 7, 8, 9}

(p ∨ q) ∧ r contains the animals which need to be common in both (p ∨ q) and r.

p ∨ q = {2, 4, 5, 7, 8, 9}

r = {2, 4, 6, 9}

So,

(p ∨ q) ∧ r = {2, 4, 9}

$2 + 4 + 9 = 15$

Therefore, 15 is the total number of animals for which (p ∨ q) ∧ r true.

Keywords: union, and operation, or operation

Learn more about union, and operation, or operation from brainly.com/question/13637539

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4 years ago

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EastWind [94]

The slope is rise over run
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Elenna [48]

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quadrant 3

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Cuz x and y are in the negative if they’re both less than 0

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3 years ago

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The basketball coach at a small local college believes that his team plays better and scores more points in front of larger crow

Orlov [11]

Answer:

Step-by-step explanation:

Given that points scored is the dependent variable Y and Number of people attending the game is the independent variable is independent variable x

The correlation coefficient, slope and intercept are calculated as shown below:

x y

378 54

350 57

320 59

478 80

451 82

250 75

489 73

451 53

410 67

215 78

113 67

250 56

450 85

489 101

472 99

Mean 371.0666667 72.4

std dev 117.5138087 15.42632259

covariance 667.5733333

r 0.394558035

Slope 3.005642934

Intercept 153.4581182

y = 3.006x+153.46 is the regression line.

Corre = 0.3945 (weak positive)

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3 years ago