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3 years ago

1) 3x – 2y=-16 Write the slope-intercept form of the equation of each line

Mathematics

2 answers:

raketka [301]3 years ago

7 0

Answer:

y = $\frac{3}{2}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept gorm is

y = mx + c

Given

3x - 2y = - 16 ( subtract 3x from both sides )

- 2y = - 3x - 16 ( divide all terms by - 2 )

y = $\frac{3}{2}$ x + 8 ← in slope- intercept form

Aleksandr [31]3 years ago

7 0

Answer:

y= -3/-2x +8

Step-by-step explanation:

y= mx +b

you move 3x to the other side and flip the sign (positive to negative)

-2y= -3x-16

divide everything by -2

-2y/-2= -3x/-2 -16/-2

y= -3/-2x +8

(-3/-2 is a fraction

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There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different su

Lelechka [254]

Answer:

1980

We can choose 2 men from 9 in 36 in ways.

We can choose 2 women from 11 in 55 ways.

For any arrangement of 2 men there are 55 ways of combining them with 2 women => 55 * 36 = 1980 total ways.

If you're wondering how i got the numbers i used the combination formula:

C(n, k) = $\frac{n!}{k!(n-k)!}$

3 0

3 years ago

X^2 -25 =0. Factor and use the zero product property to solve.

Gwar [14]

X^2 - 25 is a difference of squares which has a special factorization.

In general, a^2 - b^2 = (a + b)(a - b)

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x + 5 = 0 or x - 5 = 0

x = -5 or x = 5

7 0

3 years ago

Read 2 more answers

A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

Dimension of brick tiles is given by

$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

cost of each clay brick = $0.72

So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

7 0

3 years ago

Part a which projectile spends more time in the air, the one fired from 30∘ or the one fired from 60∘? which projectile spends m

bearhunter [10]

The correct answer is the One fired from from 60° . This is because the projectile fired from 60° has a greater vertical velocity compared to the one fired from 30° and therefore spends more time on air. Vertical velocity is the velocity of a body as it moves upwards, it is normally affected by the gravitational acceleration, however it is not affected by the horizontal velocity.

5 0

3 years ago

Read 2 more answers

How much longer will it take a car traveling at an average speed for 2 miles per hour to make the trip from San francisco to New

lbvjy [14]

Answer:

1445.6 hours

Step-by-step explanation:

Distance between New York and San Francisco = 2902.8 miles (checked online)

Average speed of car = 2 mi/hr

Average speed of jet = 500 mi/hr

Time taken by Jet:

Time taken = Distance / speed

Time taken = 2902.8 / 500

Time taken = 5.8056 = 5.8 hours

Time taken by Car :

Time taken = Distance / speed

Time taken = 2902.8 / 2

Time taken = 5.8056 = 1451.4 hours

Time difference :

1451.4 - 5.8 = 1445.6 hours

7 0

3 years ago