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Kryger [21]
3 years ago
7

Multiplying by a conjugate gives a rational number because (a + b)(a - b.= _____.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0
Use foil.

(a+b)(a–b)
a^2 -ab +ab -b^2
a^2 – b^2

Hope I helped :)
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If tan x =3/4, and 0
jasenka [17]

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract  

x

from inside the tangent.

x

=

arctan

(

3

4

)

Evaluate  

arctan

(

3

4

)

.

x

=

0.6435011

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from  

π

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x

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(

3.14159265

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Simplify the expression to find the second solution.

Tap for more steps...

x

=

3.78509376

Find the period.

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π

The period of the  

tan

(

x

)

function is  

π

so values will repeat every  

π

radians in both directions.

x

=

0.6435011

+

π

n

,

3.78509376

+

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, for any integer  

n

Consolidate the answers.

x

=

0.6435011

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6 0
3 years ago
A = b + rb, for r<br> Please help me..
kifflom [539]

Answer:

r=(a/b)-1

Step-by-step explanation:

a=b(1+r)

a/b = 1+r

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6 0
3 years ago
Julie is roller skating. She can skate 16 mile in 2 minute. What is Julie's rate in miles per minute?
mafiozo [28]
8 miles per minute?
6 0
3 years ago
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iris [78.8K]

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6 0
3 years ago
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10. The perimeter of the table shown is 16 feet. Write an equation in
Aliun [14]

Answer:

p = 2

q = 6

r = 16

x = 5 feet

Step-by-step explanation:

The perimeter of the rectangle is

P=2(\text{Width}+\text{Length})

In your case,

Width = 3 feet

Length = x feet

So, the perimeter is

P=2(3+x)\\ \\P=6+2x

Since the perimeter is 16 feet, we have

2x+6=16

Hence,

p = 2

q = 6

r = 16

Solve this equation for x:

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4 0
3 years ago
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