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3 years ago

I have to match each expression to its equivalent form. Please help me out

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

x^2 - 12x + 37

x^2 + 16

x^2 + 6x + 34

Step-by-step explanation:

Let's expand the first one:-

(x - 6 + i)(x - 6 - i)

= x^2 - 6x - ix - 6x + 36 + 6i + ix - 6i - i^2

= x^2 - 12x -ix + ix - 6i + 6i + 36 - (-1)

= x^2 - 12x + 37 (answer).

(x + 4i)(x - 4i)

= x^2 + 4ix - 4ix -16 i^2

= x^2 + 16 (answer).

(x + 3 + 5i)(x + 3 - 5i)

= x^2 + 3x - 5ix + 3x + 9 - 15i + 5ix + 15i - 25 i^2

= x^2 + 6x + 34. (answer).

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Alexus [3.1K]

Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m $\widehat{AG}$ = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m $\widehat{ABE}$ = 48°

∴ m $\widehat{ABE}$ = 2 × 48° = 96°

m∠AEF = (1/2) × m $\widehat{AGE}$

m $\widehat{ABE}$ + m $\widehat{AGE}$ = 360° (angle round a circle)

∴ m $\widehat{AGE}$ = 360° - m $\widehat{ABE}$ = 360° - 96° = 264°

m $\widehat{AGE}$ = m $\widehat{AG}$ + m $\widehat{EG}$

∴ m $\widehat{EG}$ = m $\widehat{AGE}$ - m $\widehat{AG}$ = 264° - 175° = 89°

m $\widehat{EG}$ = 89°.

5 0

3 years ago

What point(s) are 100units away from point -1? Can you pls respond quickly!

Inessa05 [86]

Answer:

Look below.

Step-by-step explanation:

FYI: Im a bit confused on what this question is asking but I am responding based on what I believe the question is asking.

The point 100 spaces to the left of -1 would be (-101,0) and the point 100 spaces to the left of -1 would be (100,0).

The point(s) 100 spaces to the left of -1 would be (- infinity, -1) and the point(s) 100 spaces to the right would be (-1, infinity).

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3 years ago

48+(2*13)/110= ? A) .673 B) .7214 C) 51.5 D) 35.62

siniylev [52]

48 + (2*13) / 110
PE(MD)(AS)

2 * 13 = 26
48 + 26 / 110

26 / 110 = 0.236..
Rounded = 0.24

48 + 0.24 = 48.24….

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2 years ago

|3 + x| = 5 Solve for x

bearhunter [10]

Answer:

x = - 8 , x = 2

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is

x + 3 = 5 ( subtract 2 from both sides )

x = 2

-(3 + x) = 5

- 3 - x = 5 ( add 3 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

5 0

2 years ago

Read 2 more answers

Find the area of rectangle with sides 2 5/6 and 4 4/7

g100num [7]

<h3>Given :</h3>

Length = $\sf2\dfrac{5}{6}$ cm.
Breadth = $\sf4\dfrac{4}{7}$ cm.

The area of rectangle.

<h3>Solution :</h3>

Area of rectangle = Length × Breadth

$\sf=2\dfrac{5}{6}\times4\dfrac{4}{7}$

$\sf=\dfrac{17}{6}\times\dfrac{25}{7}$

$\sf=\dfrac{17\times25}{6\times7}$

$\sf=\dfrac{425}{42}$

<h3>Area of rectangle is 425/42 cm².</h3>

4 0

3 years ago

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