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lisov135 [29]
3 years ago
15

A rectangular garden has length and width as given by the expressions below.

Mathematics
1 answer:
Helen [10]3 years ago
4 0
2[4 − 7(3x + 4y)] + 2[3x(−2y)]
2[4 - 21x -28y] + 2[-6xy]
8 - 42x - 56y -12xy

the perimeter of given rectangular garden is (8 - 42x - 56y -12xy).
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Find the distance between the two points.
Ksenya-84 [330]

Hey there!

Distance formula:

d = \sqrt{(x_{2}-x_{1})+(y_{2}-y_{1}) }

Plug in variables:

d = \sqrt{(0-(-6))+(0-(-7))}

Simplify.

d = \sqrt{6+7}

d = \sqrt{13}

The distance between the two points is \sqrt{13}  units.

Hope this helps!

4 0
3 years ago
Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens, and 3 green pens. If X is the number
Flauer [41]

Answer:

a) f(x,y) =\frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b) = \frac{9}{14}

Step-by-step explanation:

joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)

Given Data,

X = The number of blue Pens

Y = The number of red Pens

a)

possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)

Please refer fig. also

total number ways of selecting any 2 pens = \binom{8}{2}= \frac{8!}{2! 6!} =28

f(x,y) = \frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b)

P(X,Y)∈A = P(X + Y ≤ 1)

= P(0,0) + P(1,0) + P(0,1)

= \frac{3}{28} + \frac{3}{14} + \frac{9}{28}

= \frac{9}{14}

4 0
3 years ago
Would the sum of -13 and 20 be positive or negative? Explain your reasoning. Use complete sentences.
Debora [2.8K]

Answer:

Positive

Step-by-step explanation:

-13 plus positive 20 equals positive 7

6 0
3 years ago
14 point to brainliest person , HURRY!! PKS
PIT_PIT [208]
I SAY IT THE SECOND OPTION
7 0
3 years ago
Read 2 more answers
Write the expression as a single term.<br> 3ln(x+2) - ln(x - 1)
Dafna1 [17]

Answer:

ln  [(x + 2)^3 ]/(x-1)

Step-by-step explanation:

3ln(x+2) - ln(x - 1) =  ln (x + 2)^3  -  ln (x-1)

ln (x + 2)^3  -  ln (x-1) =  ln  [(x + 2)^3 ]/(x-1)

7 0
3 years ago
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