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1 year ago

I'll give brainliest and points to whomever answers these two questions, thank you so much in advance!

Mathematics

2 answers:

Damm [24]1 year ago

7 0

Answer:

Q8. a. IR

Q9. b. -4

Step-by-step explanation:

Q8- what's the S.S of the inequality: x² + 4 > 2

x² + 4 > 2

⇔ x² > 2 - 4

⇔ x² > -2

Then the set of solutions is all real numbers because x² is always a positive number which means for all real numbers x² > -2.

……………………………………………………………………………

Q9- if x + yi = (1 + i)⁴ , then

x + yi = [(1 + i)²]² = [2i]² = 2²×i² = 4×(−1) = −4

(Just remember that (1 + i)² = 2i )

podryga [215]1 year ago

3 0

Answer:

Answer b of the first one

answer of q9

Step-by-step explanation:

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi

=4+i

Real

2x+3y

Imaginary

(2y−3x)

i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1) & eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=

∴(x,y)=(

)

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2 years ago

Given the right triangle shown below.if Cos A =15/17 and tan A=8/15 which of the following represents the length of BC

otez555 [7]

Answer:

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

Step-by-step explanation:

Given:

Consider a right triangle ABC, Such that

$\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}$

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC, Cosine and Tangent identity

$\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\$

$\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

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$\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}$ ....Given

On Comparing,

Adjacent side to angle A = AB = 15

Opposite side to angle A = BC = 8

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Also Pythagoras theorem is Satisfies,

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

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The Figure for Right triangle is below,

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