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3 years ago

I really need help with these three questions, urgent!

Mathematics

1 answer:

kow [346]3 years ago

6 0

Intersecting chords:

RT x ST = PT x TQ

2 x 6 = 3 x TQ

12 = 3TQ

TQ = 12/3

TQ = 4

AD = 90 -BE = 90-18 = 72

ADE = 180. DE = 180 - AD = 180-72 = 108

AE = 180. AB = 180-18 = 162

DE = 108

BD = BE +DE = 18 + 108 = 126

DAB = 72 + 162 = 234

ADE = 90 degrees

AB^2 = BC* (BC +x)

8^2 = 2 * (2 +x)

64 = 4 + 2x

60 = 2x

X = 60/2

X = 30

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Write an equation for the line that is perpendicular to the line y= -9 that passes through the point (-3,4).

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(x³ + ³) / (x - y)<br> Do not include parentheses in your answer.

Lubov Fominskaja [6]

The simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

<h3>Complete question</h3>

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

<h3>How to simplify the expression?</h3>

The expression is given as:

$\frac{x^3 + (-y)^3}{(x - y}$

Open the inner bracket

$\frac{x^3 -y^3}{(x - y}$

Apply the difference of two cubes to the numerator

$\frac{(x-y)(x^2+xy+y^2)}{(x - y}$

Cancel out the common factors

$x^2+xy+y^2$

Hence, the simplified expression of $\frac{x^3 + (-y)^3}{(x - y}$ is $x^2+xy+y^2$

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brainly.com/question/723406

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2 years ago

What is the exact value of cos 45° ?

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Since cosa=adjacent side / hypotenuse

cos45=1/√2

We can rationalize the denominator by multiplying numerator and denominator by √2

√(2)/2

or if you prefer: √(1/2)

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