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Ivan
4 years ago
9

Which is the first step in simplifying the expression?

Mathematics
2 answers:
Neko [114]4 years ago
6 0
Easy, multiply the expression by 2+divided by 2 over 3

In any other case, its D
Elenna [48]4 years ago
5 0
\dfrac{3}{2 +  \sqrt{2} }

To rationalise the denominator, this is a standard step:
= \dfrac{3}{2 + \sqrt{2} } \times  \dfrac{2 - \sqrt{2}}{2 - \sqrt{2}}

Answer: Option A

---------------------------------------------------------------------------------------------------

Let me continue to complete the question, though it is not ask for

= \dfrac{3(2 - \sqrt{2})}{(2 + \sqrt{2)}(2 - \sqrt{2}) }

= \dfrac{3(2 - \sqrt{2})}{4 - 2 }

= \dfrac{6 - 2\sqrt{2}}{2 }
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Where does the normal line to the parabola y = x − x2 at the point (1, 0) intersect the parabola a second time?
Ksivusya [100]
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)

we just need the slope

take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1

the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation

solve for where y=x-1 and y=x-x² intersect

set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero

x-1=0
x=1
we got this point already

x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2

it intersects at (-1,-2)
7 0
3 years ago
What is the value of x
Afina-wow [57]

Answer:

4

Step-by-step explanation:

Sin(30) = LJ/8sqrt(3)

Sin 30 = ½

LJ = 4sqrt(2)

LM = JM = x

x² + x² = (4sqrt(2))²

2x² = 32

x² = 16

x = 4

6 0
4 years ago
The scuba club has 20 members, 5 girls and 15 boys. What is the ratio of girls to boys in the scuba club?
Mariana [72]

5 girls : 15 boys

divide each by 5

1 girl: 3 boys

Choice C


5 0
3 years ago
What is the area of the polygon below
kvasek [131]
The area is 84.

What I do it cut the polygon into something easier like a square and rectangle.

Rectangle: 6•12=72
Square: 4•3=12

Add them together and you have 84
5 0
3 years ago
If 25 pencils cost $12 find the unit rate per pencil
grin007 [14]

Answer:

$12/25 pencils= $0.48 per pencil

4 0
3 years ago
Read 2 more answers
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