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Anastaziya [24]
3 years ago
6

Which of the following is an extraneous solution of square root -3x-2=x+2?

Mathematics
2 answers:
timofeeve [1]3 years ago
6 0
Hello,

Answer A (x=-6 is an extraneous solution)

√(-3x-2)=x+2
==>-3x-2>=0
==>x<= -2/3

So -3x-2=(x+2)²
==>-3x-2=x²+4x+4
==>x²+7x+6=0
==> (x=-6) or (x=-1)

if x=-6 then
√(-3*(-6)-2)=√16=4
-6+2=-4
False 4≠-4

if x=-1
√(-3*(-1)-2)=√1=1
-1+2=1
ok..


Reika [66]3 years ago
6 0

Answer:

A. x=-6

Step-by-step explanation:

i got it right on edge

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153, 9

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(5+2 i)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.
ElenaW [278]
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 -3i)

(4 -3i)( (5 +2i) - (5 -2yi) )

=  </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>

=  </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>

= (4 -3i)(2i + 2yi)

= (4 - 3i)(2 + 2y)i.    Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)           
                      =  8 - 6i + 8y - 6yi
                      =  8 + 8y - 6i - 6yi

(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i                Note: i² = -1
                       =  8i  + 8yi - 6i² - 6yi²
                       =  8i  +  8yi - 6(-1) - 6y(-1)  
                       =  8i  +  8yi  + 6 + 6y
                       =  6 + 6y + 8i + 8yi
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5 0
2 years ago
sally has a pet snail that snail fell in the well the well is 16 feet deep. each day the snail climbs up 5 feet but each night i
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<em>Answer:</em>

<em>The net speed per 24 hours is 5 - 4 = 1 foot.  </em>

<em>1 ft / 24 hrs = 16 ft / x hrs  </em>

<em> </em>

<em>16 * 24 hrs = 16 days (384 hrs) </em>

<em />

3 0
3 years ago
Find the surface area of a right prism whose bases are equilateral triangles with side lengths of 6in. The height of the prism i
vesna_86 [32]

ANSWER

211.2 {in}^{2}

EXPLANATION

The surface area of a triangular prism is

equal to the area of two triangular faces

plus the area of the three rectangular faces.

The area of the equilateral triangle is calculated using the formula:

= 2 \times \frac{ \sqrt{3} }{4}  {s}^{2}  + 3 \times  \: bh

where s=6 is the length of one side.

and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.

Surface area

= 2 \times \frac{ \sqrt{3} }{4}  \times  {6}^{2}  + 3 \times  \: 6 \times 10

= 18\sqrt{3} + 180

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8 0
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Shkiper50 [21]

Answer:

4/6 6/9 8/12 10/15

Step-by-step explanation: Split them into smaller fractions


5 0
3 years ago
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