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2 years ago

How do you know when ratios are equivalent and when they are not equivalent

1 answer:

7 0

Ratios are equivalent when that can be reduced or multiplied to be the same number.
Ex) 1:4 is the same as 2:8 or 4:16
10:20 is the same as 8:16 or 1:2

They are not equivalent if you can’t do this

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What is the following product ? (sqrt12+sqrt6) (sqrt6-sqrt10)

AveGali [126]

Answer:

6√2-2√30+6-2√15

Step-by-step explanation:

(√12+√6)(√6-√10)=

√12*6- √12*10+√6*6-√6*10=

6√2-2√30+6-2√15

3 0

2 years ago

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Pat wishes to fence in a rectangular area, using the wall of her garage as one side, so only three sides need to be fenced. If s

natali 33 [55]

Answer:

The maximum area is 800 ft².

Step-by-step explanation:

Lets call L the length of the side parallel to the garage and M the length of the other two sides. The total amount to fence is 2M+L and the area is L*M.

Since Pat got 80ft of fence, then 2M+L = 80, hence L = 80-2M. By replacing the value of L in the formula of the area, we get that

A(M) = M*(80-2M) = -2M² + 80M

The maximum of this function can be obtaining throught derivation, but since it is a quadratic with negative main coefficient, we know that the maximum is the vertex. The x-coordinate of the vertex is '-b/2a' = -80/2*(-2) = 20. The y-coordinate (which represents the maximum area), as a result, is A(20) = -2*20²+80*20 = 800.

800 is the maximum area that can be fenced. Note that M = 20 and L = 80-2L = 40.

8 0

3 years ago

A red die is tossed and then a green die is tossed. What is the probability that the red die shows an even number or the green d

antoniya [11.8K]

here you go! hope this helps! : )

8 0

3 years ago

Express (5 + 2i) \div (1 - \sqrt{2i)} <br> in a+ib

DochEvi [55]

Answer:

$1 + 2\sqrt{2i}$

Step-by-step explanation:

The expression is presented below:

$= \frac{(5 + \sqrt2i) }{(1 - \sqrt{2i)}}\\\\= \frac{(5 + \sqrt2i) }{(1 - \sqrt{2i)}} \times \frac{1 + \sqrt{2i)}}{1 + \sqrt{2i)}}\\\\= \frac{5 + 5\sqrt{2i} + \sqrt{2i} - 2 }{1 + 2} \\\\= \frac{3 + 6\sqrt{2i} }{3}\\\\= \frac{3(1 + 2\sqrt{2i}) }{3} \\\\= 1 + 2\sqrt{2i}$

The above represents an expression

7 0

3 years ago

What two numbers multiply together to give you -36 and add together to give you -9

mixas84 [53]

Answer:

-12 and 3

Step-by-step explanation:

-12x3= -36

-12+3= -9

5 0

2 years ago

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