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Black_prince [1.1K]
3 years ago
7

Please help me on this one

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

option a

step-by-step explanation:

To rationalize the expresion we need to multiply and divide the expression by the conjugate of the denominator as follows

sqrt(9) / (sqrt(3) + sqrt(x)) = sqrt(9) ((sqrt(3) - sqrt(x)) / ((sqrt(3) + sqrt(x))(sqrt(3) - sqrt(x)))

3((sqrt(3) - sqrt(x)) / (3 - x)

So the result es option a:

(3sqrt(3) - 3sqrt(x)) / (3 - x)

You might be interested in
How do I find the inverse function of this equation
trapecia [35]

Answer:

y=ln(x/(1-x))

Step-by-step explanation:

y=e^x/(1+e^x)

Cross multiply

y(1+e^x)=e^x

Distribute

y+ye^x=e^x

Put anything with x on with side and everything without x on opposing side:

y=e^x-ye^x

Factor right hand side

y=(1-y)e^x

Divide both sides by (1-y)

y/(1-y)=e^x

Use natural log.

ln(y/(1-y))=x

The inverse is

y=ln(x/(1-x))

4 0
3 years ago
Can someone please explain this to me
ki77a [65]

Answer:

What part do you need explained?

Step-by-step explanation:

7 0
3 years ago
Please help! A is not -3 as I’ve seen some answer with that.
Arte-miy333 [17]

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) \frac{3x+4}{2} = 9.5

  3x+4 = 9.5(2)

      3x = 19-4

        x = 15/3

         x = 5

b) \frac{7+2x}{3} = 5

  7+2x = 5(3)

      2x = 15-7

        x = 8/2

         x=4

6 0
2 years ago
If x2 - y2 = 12 and x - y = 4, what is the value
ira [324]

Step-by-step explanation:

x²-y²=12

(x-y)(x+y)=12

but x-y=4

4(x+y)=12

x+y=12/4

x+y=3

lets make x the subject of the formula

x=3-y

since x-y=4

(3-y)-y=4

3-y-y=4

-2y=1

y=-1/2

then x=3-y

x=3-(-1/2)

x=(6--1)/2

x=7/2

therefore; x²+2xy+y

=(7/2)²+2×7/2×-1/2+(-1/2)

=49/4-7/2-1/2

=(49-14-2)/4

=33/4

=8.25

=8

6 0
3 years ago
1. Identify a pair of alternate exterior angles.
KonstantinChe [14]

Answer:

d. ∠2 and ∠6

Step-by-step explanation:

Definition : Alternate Exterior Angles are a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Option a. ∠3 and∠4

These angles are interior angles.

Option b . ∠1 and∠2

These angles are linear pair.

Option c . ∠1 and ∠6

These angles are outer angles

Option d . ∠2 and ∠6

According to the definition of alternate evterior angles . ∠2 and ∠6 are alternate exterior angles

Hence Option d is pair of alternate exterior angles.

4 0
3 years ago
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