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3 years ago

Find the slope of the line that passes through the points. (1,2) and (-2,2)

Mathematics

2 answers:

Damm [24]3 years ago

5 0

Answer:

Step-by-step explanation:

the slope formula is y2-y1/x2-x1, plug it in, 2-2/-2-1, 0/-3 or 0

kondaur [170]3 years ago

4 0

Answer:

The slope is 0.

Step-by-step explanation:

To find the slope, first you have to use the slope formula of $\displaystyle \frac{y_2-y_1}{x_2-x_1}$ .

y2=2

y1=2

x2=(-2)

x1=1

$\displaystyle \frac{2-2}{(-2)-1}=\frac{0}{-3}=0$

Therefore, the slope is 0.

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Answer:

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Step-by-step explanation:

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3 years ago

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What is the sum of the roots of the polynomial shown below? f(x) = x^3 + 2x^2 - 11x-12

svp [43]

Answer:

Sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

Solution:

The general form of cubic polynomial is $a x^{3}+b x^{2}+c x+d=0$ ---- (1)

If we have any cubic polynomial $a x^{3}+b x^{2}+c x+d=0$ having roots $\alpha , \beta , \theta$

Sum of roots $\alpha + \beta + \theta$ = $\frac{-b}{a}$ ---(2)

From question given that,

$x^{3}+2 x^{2}-11 x-12$ --- (3)

On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12

Hence the sum of roots using eqn 2 is given as,

= $\frac{-2}{1}$

= -2

Hence the sum of the roots of the polynomial $x^{3}+2 x^{2}-11 x-12 \text { is }-2$

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3 years ago

What occupations includes working with data and details more than ideas?

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Realistic occupations which is letter b

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3 years ago

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What is 36÷2/3×9×1/2

krok68 [10]

Answer:

1/3

Step-by-step explanation:

Simplify the following:

((36/2)/(3×9))/2

((36/2)/(3×9))/2 = 36/(3×9×2×2):

36/(3×9×2×2)

36/9 = (9×4)/9 = 4:

4/(3×2×2)

4/2 = (2×2)/2 = 2:

2/(3×2)

2/(3×2) = 2/2×1/3 = 1/3:

Answer: 1/3

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3 years ago

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In the United States, there are 59 different species of mammals that are endangered,

jolli1 [7]

Given Information:

Number of endangered mammal species = 59

Number of endangered bird species = 75

Number of endangered fish species = 68

Required Information:

Probability of either a mammal or a fish = ?

Answer:

P(mammal or fish) = 127/202 = 0.6287 = 62.87%

Step-by-step explanation:

We want to randomly select one animal and find out the probability of either a mammal or a fish.

The total number of endangered species of animals is given by

Total animals = mammal species + bird species + fish species

Total animals = 59 + 75 + 68 = 202

The probability of selecting a endangered mammal is

P(mammal) = no. of endangered mammal/total no. of endangered animals

P(mammal) = 59/202

The probability of selecting a endangered fish is

P(fish) = no. of endangered fish/total no. of endangered animals

P(fish) = 68/202

Finally, the probability of selecting either a mammal or a fish is

P(mammal or fish) = 59/202 + 68/202

P(mammal or fish) = 127/202

P(mammal or fish) = 0.6287

P(mammal or fish) = 62.87%

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3 years ago