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3 years ago

Use unit rate to find the unknown value 16/32 equals blank over 14

Mathematics

1 answer:

grigory [225]3 years ago

5 0

Answer:

x = 7

Step-by-step explanation:

simplify 16/32

16/32 divided by 8/8=2/4

2/4 divided by 2=1/2

1/2 = x/14

to get to 14 from 2 you need to multiply by 7

1/2 times 2/2 = 7/14

so x = 7

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Write each complex number in rectangular form. a. 2(cos(135)+i sin(135)) b. 3(cos(120))+i sin(120)) c. 5(cos(5pi/4)+i sin(5pi/4)

bagirrra123 [75]

$\bf r\left[ cos\left( \theta \right)+i\ sin\left( \theta \right) \right]\quad 
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\implies 
\begin{array}{llll}
x&,&y\\
a&&b
\end{array}\implies a+bi\\\\
-------------------------------\\\\
2\left[ cos\left( 135^o\right)+i\ sin\left( 135^o\right) \right]\impliedby r=2\qquad \theta =135^o
\\\\\\
2\left( -\frac{\sqrt{2}}{2} \right)+i\ 2\left( \frac{\sqrt{2}}{2}\right)\implies -\sqrt{2}+\sqrt{2}\ i$

$\bf -------------------------------\\\\
3\left[ cos\left( 120^o\right)+i\ sin\left( 120^o\right) \right]\impliedby r=3\qquad \theta =120^o
\\\\\\
3\left( -\frac{1}{2} \right)+i\ 3\left( \frac{\sqrt{3}}{2}\right)\implies -\frac{3}{2}+\frac{3\sqrt{3}}{2}\ i$

$\bf \\\\
-------------------------------\\\\
5\left[ cos\left( \frac{5\pi }{4}\right)+i\ sin\left( \frac{5\pi }{4}\right) \right]\impliedby r=5\qquad \theta =\frac{5\pi }{4}
\\\\\\
5\left( -\frac{\sqrt{2}}{2} \right)+i\ 5\left( -\frac{\sqrt{2}}{2}\right)\implies -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\ i$

$\bf -------------------------------\\\\
4\left[ cos\left( \frac{5\pi }{3}\right)+i\ sin\left( \frac{5\pi }{3}\right) \right]\impliedby r=4\qquad \theta =\frac{5\pi }{3}
\\\\\\
4\left( \frac{1}{2} \right)+i\ 4\left( -\frac{\sqrt{3}}{2}\right)\implies \frac{1}{2}-\frac{\sqrt{3}}{2}\ i$

3 0

3 years ago

Is this wrong?

sammy [17]

Step-by-step explanation:

The last step is a little wrong. Lemme show you:

x(x + 2) + (x + 2)

Imagine there is an invisible '1' infront of (x + 2) like this:

= x(x + 2) + 1(x + 2)

Now we can combine the like terms together:

= (x + 1)(x + 2)

This is the correct factorization.

4 0

2 years ago

What is the solution for this system of equations? <br>y= -1/4x + 6<br>y= x+1

snow_lady [41]

9514 1404 393

Answer:

(x, y) = (4, 5)

Step-by-step explanation:

Equating the expressions for y gives ...

-1/4x +6 = x +1

5 = 5/4x . . . . . . . add 1/4x-1

4 = x . . . . . . . . . . multiply by 4/5

y = x +1 = 4 +1

y = 5

The solution is (x, y) = (4, 5).

3 0

2 years ago

-9/ 10 as a decimal number.

aev [14]

Answer:

-0.9

Step-by-step explanation:

-9/ 10 = -0.9

8 0

2 years ago

Read 2 more answers

Select the number and name of the terms below (select 2): 2121

mihalych1998 [28]

Its a monomial and it has 4 terms

6 0

2 years ago

Use unit rate to find the unknown value 16/32 equals blank over 14​

Use unit rate to find the unknown value 16/32 equals blank over 14