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2 years ago

15

How many solutions does this system have?

1 answer:

charle [14.2K]2 years ago

4 0

The answer is no solution

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Solve the equation: Sin2x - Sinx = 0

Viktor [21]

We know that sin2x=2sinxcosx
(search the net for proof if you wish)

So the original equation becomes

2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:

sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2

sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer

5 0

3 years ago

Find x. Give your answer in the

garri49 [273]

Answer:

x = 4

Step-by-step explanation:

sin 30 = x/8

0.5 = x/8

x = 4

7 0

2 years ago

What is the area of triangle DEF?

FrozenT [24]

Answer:

$A=2\sqrt{14}\ units^2$

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

so

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=5\ units,b=6\ units,c=3\ units$

<em>Find the semi-perimeter s </em>

s= $\frac{5+6+3}{2}=7\ units$

Find the area of triangle

$A=\sqrt{7(7-5)(7-6)(7-3)}$

$A=\sqrt{7(2)(1)(4)}$

$A=\sqrt{56}\ units^2$

simplify

$A=2\sqrt{14}\ units^2$

3 0

2 years ago

Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms

Misha Larkins [42]

If the twos mean squared...
2x^2-y^2+5xy-2y

4 terms

3 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the point (-4,-6) and is

Bess [88]

Answer:

2x-y=6

2*(-4)-(-6)=6

-8+6=6

-2=6

8 0

2 years ago