Ask question

Ask question

All categories

2 years ago

5

Rationalise the denominator.1/√5+√2

2 answers:

Pani-rosa [81]2 years ago

3 0

Answer:

Exact Form:

√5 + 5√2

__________

5

Decimal Form:

1.86142715

…

Step-by-step explanation:

N/A

Romashka-Z-Leto [24]2 years ago

3 0

Step-by-step explanation:

$\frac{1}{ \sqrt{5} + \sqrt{2} } \\ = \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{\sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{ {( \sqrt{5)} }^{2} - {( \sqrt{2)} }^{2} } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{5 - 2 } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{3}$

You might be interested in

What is the vertex for y= 4 (x-2)^2 +3

sladkih [1.3K]

(2,3)
you take the opposite of what’s in the parenthèse and then the number on the right outside the parenthèse

8 0

2 years ago

Simplify and solve for x. 5(x+20)= 7x+30

hodyreva [135]

Answer:

x = 35

Step-by-step explanation:

Solve for x:

5 (x + 20) = 7 x + 30

Expand out terms of the left hand side:

5 x + 100 = 7 x + 30

Subtract 7 x from both sides:

(5 x - 7 x) + 100 = (7 x - 7 x) + 30

5 x - 7 x = -2 x:

-2 x + 100 = (7 x - 7 x) + 30

7 x - 7 x = 0:

100 - 2 x = 30

Subtract 100 from both sides:

(100 - 100) - 2 x = 30 - 100

100 - 100 = 0:

-2 x = 30 - 100

30 - 100 = -70:

-2 x = -70

Divide both sides of -2 x = -70 by -2:

(-2 x)/(-2) = (-70)/(-2)

(-2)/(-2) = 1:

x = (-70)/(-2)

The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:

Answer: x = 35

6 0

3 years ago

Read 2 more answers

Kareen says that (3 + 2) + 6 = 3 + (2 + 6). What property of addition is he using?

Anvisha [2.4K]

Answer: Im pretty sure thats associative property.

3 0

2 years ago

At what point on the parabola y = 3x^2 + 2x is the tangent line parallel to the line<br> y = 10x −2?

oksian1 [2.3K]

Answer:

( $\frac{4}{3}$ , 8 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - 2 ← is in slope- intercept form

with slope m = 10

Parallel lines have equal slopes

then the tangent to the parabola with a slope of 10 is required.

the slope of the tangent at any point on the parabola is $\frac{dy}{dx}$

differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$ , then

$\frac{dy}{dx}$ = 6x + 2

equating this to 10 gives

6x + 2 = 10 ( subtract 2 from both sides )

6x = 8 ( divide both sides by 6 )

x = $\frac{8}{6}$ = $\frac{4}{3}$

substitute this value into the equation of the parabola for corresponding y- coordinate.

y = 3( $\frac{4}{3}$ )² + 2

= (3 × $\frac{16}{9}$ ) + 2

= $\frac{16}{3}$ + $\frac{8}{3}$

= $\frac{24}{3}$

= 8

the point on the parabola with tangent parallel to y = 10x - 2 is ( $\frac{4}{3}$ , 8 )

3 0

1 year ago

Divide using LONG Division<br> (m? + 2m - 15) + (m + 5)

user100 [1]

Answer:

I hope you got it and it helped you

7 0

2 years ago