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3 years ago

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The value of d represents the distance, in units, between - 1/4 and 1/2 on a number line. Plot the point representing the value

of d on the number line below. Then, plot the two points that are d units away from that point.

1 answer:

bogdanovich [222]3 years ago

6 0

Plot 1/4 on the zero line...

add 1/4 together twice to get your next 2 answers

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The sides of the pentagon are consecutive even integers. Find the length of the shortest side if the second longest side is 24%

Digiron [165]

Answer:

Please see the image for solution

Step-by-step explanation:

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4 years ago

a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the p

DENIUS [597]

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Step-by-step explanation:

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3 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

6 0

1 year ago

Best explained and correct answer gets brainliest.

cestrela7 [59]

It'd be B) because to make a triangle the sum of two sides has to be greater than the third side. 3+4=7, and 7>5, so...<span>voilà</span>

6 0

3 years ago

Bowl A contains 6 apples and 3 mangoes this can be written as, Bowl B contain 8 apples and 2 mangoes this can be written as. Wha

Andrew [12]

Answer:

Bowl B contains 2 apples more than Bowl A and Bowl A contains 1 mango more than Bowl B.

Step-by-step explanation:

Number of apples in Bowl A = 6

Number of mangoes in Bowl B = 8

Difference in apples = 8 - 6 = 2

So, Bowl B contains 2 apples more than Bowl A.

Number of mangoes in Bowl A = 3

Number of mangoes in Bowl B =2

Difference in mangoes = 3 - 2 = 1

So, Bowl A contains 1 mango more than Bowl B.

3 0

3 years ago