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3 years ago

The line passes through the point (2,-9) and has a zero slope. Write the answer in slope-intercept form.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

8 0

Answer:

Okay so for finding the equation of a line, which is a function, the equation is set to y, so you can eliminate A and B. When the slope of an equation is 0, we are saying that the y value of any point of the line is going to be the same, which is 9 from the given point (2,9).

So the answer is C. y=9

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

A segment with endpoints A(2,6) and C(5,9) is partitioned by a point B such that AB and BC form a 3:1 ratio. Find B

Aneli [31]

Answer:

The coordinate of point B is (4, 8.25)

Step-by-step explanation:

Here, we want to find the coordinates of point B

To do this, we are to use the section internal division formula as follows;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

In this case;

(x1,y1) = (2,6)

(x2,y2) = (5,9)

(m,n) = (3,1)

Substituting these values into the section formula, we have;

(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)

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2 years ago

B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.

finlep [7]

Answer:

$\text{Probability}=\frac{1}{3}$

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{2}{6}$

$\text{Probability}=\frac{1}{3}$

8 0

2 years ago