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3 years ago

6

In Ms.Martinez's library, 1/2 of the books are fiction.Of those fiction books,1/2 are realistic fiction.What fraction of the boo

ks in the library are realistic fiction?

1 answer:

Snowcat [4.5K]3 years ago

3 0

Andndmffmmfdfmfndbdbhdjddjdj

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If two points on line l above have coordinates (0, A) and (2, −3), and the slope of the line is A, then what is the value of A?

Anna35 [415]

<u>ANSWER: </u>

If two points on line l above have coordinates (0, A) and (2, −3), then the value of A is -1

<u>SOLUTION:</u>

Given, two points on line l have coordinates (0, A) and (2, −3),

And the slope of the line is A,

We need to find a value.

We know that, slope of a line on which (x1, y1) and (x2, y2) are two points is given by

$\mathrm{m}=\frac{y_{2}-y_{1}}{\mathrm{x}_{2}-\mathrm{x}_{1}}$

Here,in our problem,

$\mathrm{m}=\mathrm{A}, \mathrm{x}_{2}=2, \mathrm{x}_{1}=0, \mathrm{y}_{2}=-3 \text { and } \mathrm{y}_{1}=\mathrm{A}$

now, substitute the values in formula we get

$\begin{array}{l}{A=\frac{-3-A}{2-0}} \\\\ {A=\frac{-3-A}{2}}\end{array}$

2A = -3 –A

2A+ A = -3

3A = -3

A = -1

Hence, the value of A is -1.

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3 years ago

Which is not equivalent to Ax + By=C?

In-s [12.5K]

Answer: c-a

Step-by-step explanation:

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3 years ago

How many servings can be made from 108 cups of punch when you mix 18 cups of pineapple juice, 36 cups of orange juice and 54 cup

Alinara [238K]

Answer:

14

Step-by-step explanation:

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4 years ago

How do you find the ratio of a fraction

xxTIMURxx [149]

A ratio is the relationship between two numbers.

Probably the easiest way to write a ratio is in the form of a fraction.

A fraction IS a ratio.

It means (the top number) divided by (the bottom number), and
that's the ratio between them.

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4 years ago

A) What is the equation of the line that passes through the given pair points in slope-intercept form?

lesya [120]

A)

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

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

We have the points (2, 5.1) and (-1, -0.5). Substitute:

$m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}$

Therefore we have:

$y=\dfrac{28}{15}x+b$

Put the coordinates of the point (-1, -0.5) ot the equation:

$-0.5=\dfrac{28}{15}(-1)+b$

$-0.5=-\dfrac{28}{15}+b$ <em>multiply both sides by 2</em>

$-1=-\dfrac{56}{15}+2b$ <em>add $\dfrac{56}{15}$ to both sides</em>

$\dfrac{41}{15}=2b$ <em>divide both sides by 2</em>

$b=\dfrac{41}{30}$

Answer: $\boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}$

-------------------------------------------------------------------------

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

$m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}$

Therefore we have:

$y=-\dfrac{7}{5}x+b$

Put the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{7}{5}(-2)+b$

$\dfrac{15}{5}=\dfrac{14}{5}+b$ <em>subtract $\dfrac{14}{5}$ from both sides</em>

$\dfrac{1}{5}=b\to b=\dfrac{1}{5}$

Answer: $\boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}$

7 0

4 years ago