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4 years ago

P=a+b+c solve for b c=90x+35

Mathematics

2 answers:

Pavel [41]4 years ago

4 0

Answer:

x=bc-35 over 90

Step-by-step explanation:

MrRissso [65]4 years ago

3 0

P- a plus b plus c solve for b
C- 90*+ 35

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3 years ago

(1-i)^2 find 4 th root

sergiy2304 [10]

By de Moivre's theorem,

$1 - i = \sqrt2\,e^{-i\pi/4} \implies (1-i)^2 = 2\,e^{-i\pi/2}$

$\implies \sqrt[4]{(1 - i)^2} = \sqrt[4]{2}\,e^{i(2\pi k-\pi/2)/4} = \sqrt[4]{2}\,e^{i(4k-1)\pi/8}$

where $k\in\{0,1,2,3\}$ . The fourth roots of $(1-i)^2$ are then

$k = 0 \implies \sqrt[4]{2}\,e^{-i\pi/8}$

$k = 1 \implies \sqrt[4]{2}\,e^{i3\pi/8}$

$k = 2 \implies \sqrt[4]{2}\,e^{i7\pi/8}$

$k = 3 \implies \sqrt[4]{2}\,e^{i11\pi/8}$

or more simply

$\boxed{\pm\sqrt[4]{2}\,e^{-i\pi/8} \text{ and } \pm\sqrt[4]{2}\,e^{i3\pi/8}}$

We can go on to put these in rectangular form. Recall

$\cos^2(x) = \dfrac{1 + \cos(2x)}2$

$\sin^2(x) = \dfrac{1 - \cos(2x)}2$

Then

$\cos\left(-\dfrac\pi8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac{1 + \cos\left(\frac\pi4\right)}2} = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}$

$\sin\left(-\dfrac\pi8\right) = -\sin\left(\dfrac\pi8\right) = -\sqrt{\dfrac{1 - \cos\left(\frac\pi4\right)}2} = -\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}$

$\cos\left(\dfrac{3\pi}8\right) = \sin\left(\dfrac\pi8\right) = \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}$

$\sin\left(\dfrac{3\pi}8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}$

and the roots are equivalently

$\boxed{\pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} - i\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right) \text{ and } \pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} + i \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right)}$

7 0

2 years ago

Solve: 25x2 − 36 = 0.

grin007 [14]

25x² - 36 = 0
  25x² - 30x + 30x - 36 = 0
5x(5x) - 5x(6) + 6(5x) - 6(6) = 0
  5x(5x - 6) + 6(5x - 6) = 0
(5x + 6)(5x - 6) = 0
5x + 6 = 0 or 5x - 6 = 0
   - 6 - 6 + 6 + 6
5x = -6   5x = 6
5 5 5   5
x = -1.2 x = 1.2

6 0

3 years ago

Give one number that makes the inequality x + 7 > 20 true

Zigmanuir [339]

For example smallest x which makes inequelity is x =14
because 14 + 7 = 21 > 20

you can take any number >= 14

7 0

4 years ago

Solve for x and y:<br> x+y=5 x−y=a <br> PLEASE I NEED MY ANSWER TILL TOMORROW MORNING!

KengaRu [80]

Answer:

x= $\frac{a+5}{2}$ y=5- $\frac{a+5}{2}$

Step-by-step explanation:

x+y=5

y=5-x

x-y=a

x-(5-x)=a

2x-5=a

2x=a+5

x= $\frac{a+5}{2}$

x+y=5

$\frac{a+5}{2}$ +y=5

y=5- $\frac{a+5}{2}$

7 0

4 years ago

Read 2 more answers