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3 years ago

8

Is 45/276 in simplest form?

1 answer:

Rashid [163]3 years ago

7 0

Answer:

15/92

45 divided by 3 = 15

276 divided by 3 =92

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3-2i/1+4i include each step necessary in simplifying

Likurg_2 [28]

Answer:

$\frac{3-2i}{1+4i}=\frac{11}{17}-\frac{10}{17}i$

Step-by-step explanation:

$\frac{3-2i}{1+4i}$ <-- Given

$\frac{3-2i}{1+4i}*\frac{1-4i}{1-4i}$ <-- Multiply by the conjugate of the denominator as a factor of 1

$\frac{(3-2i)(1-4i)}{(1+4i)(1-4i)}$

$\frac{(3)(1)+3(-4i)-2i(1)-2i(4i)}{(1)(1)+1(-4i)+4i(1)+4i(-4i)}$ <-- Use the Distributive Property and FOIL

$\frac{3-12i-2i-8i^2}{1-4i+4i-16i^2}$

$\frac{3-10i-8i^2}{1-16i^2}$

$\frac{3-10i-8(-1)}{1-16(-1)}$ <-- Rewrite $i^2$ as $-1$

$\frac{3-10i+8}{1+16}$

$\frac{11-10i}{17}$

$\frac{11}{17}-\frac{10}{17}i$ <-- Rewrite in $a\pm bi$ form

8 0

3 years ago

-2x - 14 = -2<br> Solve for x.

hammer [34]

Answer:

X=-6

Step-by-step explanation:

Add 14 on both sides

-2x=12

divide by -2

x=-6

3 0

2 years ago

Read 2 more answers

(WILL MARK BRIANLEST) please help due today don’t take long plzzz

Romashka [77]

The answer is 20 ,80-60=20

6 0

3 years ago

Read 2 more answers

If f(x)=(x+3)³+4<br> let g(x)=f(x+1)-2<br> find when g(x)=12

lana [24]

Answer:

$x=\sqrt[3]{10}-2$

Step-by-step explanation:

The composite function (f(x+1)) is moved in the x-axis by -1, you know this by solving x+1=0.

The equivalent expresion for f(x+1) is

$f(x+1)= (x-1+3)^{3}+4$

$f(x+1)=(x+2)^{3}+ 4$

Eval the above expression in g(x)

$g(x)=(x+2)^{3}+4-2$

We must find x that gives g(x)=12

The equation is the following

$12=(x+2)^{3}+2$

Grouping terms>

$(x+2)^{3} =10$

To solve for x, must apply cubic root in both sides of equation:

$\sqrt[3]{(x+2)^{3} } =\sqrt[3]{10}$

it then turns in the following>

$x+2=\sqrt[3]{10}\\$

Giving the stated answer

3 0

3 years ago

9/5 times c plus 32 how do solve this

horsena [70]

9/5×c+32 I.e.
if it is equal to 0 then
c=-32 ×5/9
c = -160/9

6 0

3 years ago

Read 2 more answers