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3 years ago

A dependent system of equations is a system with ________________

Mathematics

1 answer:

Karolina [17]3 years ago

3 0

A. The Same Line

- A Dependent System Of Equations Is When The Same Line Is Written In Two Different Forms So That There Are Infinite Solutions.

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The length of a rectangle is six times its width. If the area of the rectangle is 486 in 2 , find its perimeter.

seraphim [82]

w - width

6w - length

486 in² - area of the rectangle

(w)(6w) = 6w² - area of the rectangle

The equation:

6w² = 486 <em>divide both sides by 6</em>

w² = 81 → w = √81

w = 9 in

l = 6w → l = (6)(9) → l = 54 in

The perimeter: P = 2l + 2w

P = 2(54) + 2(9) = 108 + 18 = 126 in

<h3>Answer: The perimeter is 126in</h3>

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3 years ago

I got this for my classwork does anyone know how to solve this step by step

Nataly_w [17]

Answer:

http://www.cssdrive.com/

Step-by-step explanation:

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2 years ago

Find the length of the diameter of circle C.<br><br> 1"<br> 2"<br> 4"

ycow [4]

The diameter is the radius doubled. So, the radius CK is 2, so the diameter would be 4.

4 0

2 years ago

Read 2 more answers

Choose an American household at random, and let the random variable X be the number of cars (including SUVs and light trucks) th

PilotLPTM [1.2K]

Answer:

19% of households have more cars than the garage can hold

Step-by-step explanation:

We are given the following distribution for the number of cars owned by a family.

Number of cars X: 0 1 2 3 4 5 6

Probability: 0.07 0.31 0.43 0.12 0.04 0.02 0.01

We have to find the percentage of households have more cars than the garage can hold.

A garage can hold two cars. Thus, the household with more than two cars are the households that have more cars than the garage can hold.

The given distribution is a discrete probability distribution.

Thus, we evaluate:

$P(x\geq 3) = P(x+3) + P(x+4) + P(x+5) + P(x+6)\\P(x\geq 3) = 0.12 +0.04+ 0.02 +0.01 = 0.19\\P(x\geq 3) = 19\%$

Thus, 19% of households have more cars than the garage can hold.

4 0

3 years ago

Find the equation of a line that contains the points (−5,−7) and (−8,0).

kifflom [539]

Answer:

$y=\frac{-7}{3}x-\frac{56}{3}$

Step-by-step explanation:

first find the slope using the slope formula

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$(x_{1},y_{1})=(-5,-7)$

$(x_{2},y_{2})=(-8,0)$

plug in

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(0)-(-7)}{(-8)-(-5)}=\frac{0+7}{-8+5}=\frac{7}{-3}=\frac{-7}{3}$

m = -7/3

and using point slope form

$y-y_{1}=m(x-x_{1})$

$y-(-7)=(\frac{-7}{3})(x-(-5))$

$y+7=(\frac{-7}{3})(x+5)$

$y=\frac{-7}{3}x-\frac{35}{3}-7$

$y=\frac{-7}{3}x-\frac{35}{3}-\frac{21}{3}$

$y=\frac{-7}{3}x-\frac{56}{3}$

4 0

2 years ago