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2 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Mathematics

1 answer:

alexandr402 [8]2 years ago

5 0

Answer:

Step-by-step explanation:

all of them are positive✔︎

all of them are real numbers✔︎

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Simplify each expression. -4x + 1 + 6 - (-9x)

IceJOKER [234]

Step-by-step explanation:

-4x+1+6-(-9x)

-4x+7-(-9x)

5x+7

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2 years ago

Solve.

Aloiza [94]

Step-by-step explanation:

x=−y−2z+3

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2 years ago

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cricket20 [7]

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3 years ago

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What is equivalent to 2x^2+9x+9

melamori03 [73]

(2x + 3) • (x + 3)

2x • x = 2x^2

2x • 3 = 6x

3 • x = 3x

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2 years ago

P and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .

Leya [2.2K]

Answer: (b)

Step-by-step explanation:

Given

$\left | p\right |=\dfrac{2}{5}x+2$

$\left | q\right |=\dfrac{-3}{4}x-1$

$\left | p+q\right |=2x+4$

for two complex number, $z_1,z_2$

Apply the above the property

$\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}$

Also, the absolute value of each complex number must be greater than or equal to zero

$\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2$

Taking the intersection of the above values of x, we get

$x\in [-2,-\dfrac{4}{3}]$

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2 years ago