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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Mathematics

1 answer:

Rashid [163]3 years ago

3 0

$x = \frac{ -2 \pm \: \sqrt{ {2}^{2} - 4 \times 1 \times 10 } }{2} \\ \\ x = \frac{ - 2 \pm 6i}{2} \\ \\ \boxed{ \red{ \huge{x = - 1 \pm \: 3i}}}$

$\boxed{ \red{ \huge{answer = d}}}$

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Select all the statements that are true.

alexgriva [62]

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

Verify each option

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

$8x(5x-6)$

Applying distributive property

$8x(5x)-8x(6)\\40x^2-48x$

Compare with the given value

$40x^2-48x=40x^2-48x$

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

$-4x(2x^{2}+1)$

Applying distributive property

$-4x(2x^{2})-4x(1)\\-8x^3-4x$

Compare with the given value

$-8x^3-4x \neq -8x^3-5x$

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

$(x-3)(5x-6)$

Applying distributive property

$x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18$

Compare with the given value

$5x^2-21x+18=5x^2-21x+18$

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

$(2x+3)(x^2+3x-5)$

Applying distributive property

$(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15$

Compare with the given value

$2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25$

therefore

The statement is not true

8 0

3 years ago

How do I solve this -1/2x-7=-11

tankabanditka [31]

Answer:

Step-by-step explanation:

-1/2x -7=-11

-1/2x +4=0

4=1/2x

x=8

7 0

2 years ago

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Hi i love you! <3 So does God and everyone else

Alex

Answer:

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Step-by-step explanation:

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2 years ago

The Punic Wars began in 264 B.C. and ended in 146 B.C. How long did the Punic Wars last??

pishuonlain [190]

Answer:

The first two wars were long—23 years and 17 years, separated by an interval of 23 years. The third war lasted nearly three years. It started 52 years after the end of the second war. All three wars were won by Rome, which subsequently emerged as the greatest military power in the Mediterranean Sea.

Step-by-step explanation:

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How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two

Vitek1552 [10]

From the law of sines, we have:

$\displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}$ ,

where x and y are the sides opposite to angles X and Y, respectively.

Substituting the known values, we have:

$\displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}$ , thus

$\displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31$ .

Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.

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