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2 years ago

Step by step please ASAP

Mathematics

1 answer:

fenix001 [56]2 years ago

3 0

Answer:

-2x^2 - 2

Step-by-step explanation:

(6x^2 + 3) - (5 + 8x^2)

-2x^2 + 3 - 5

-2x^2 - 2

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2 years ago

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2 years ago

Theorem: A line parallel to one side of a triangle divides the other two proportionately.

Elenna [48]

Answer:

Segment BF = 16 is true.

Step-by-step explanation:

Since, DE is parallel to BC, so DE will divide AB and AC proportionally.

Hence,

$\frac{AE}{EC} = \frac{AD}{DB}$

⇒ $\frac{12}{18} = \frac{6}{DB}$

{Since, given that AE = 12, EC = 18 and AD = 6}

⇒ BD = 9.

Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.

Hence, $\frac{CE}{AE} = \frac{FC}{BF}$

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Therefore, segment BF = 16 is true. (Answer)

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3 years ago

Which of the following vectors are orthogonal to (1,5)? Check all that apply

Andre45 [30]

We know that
If the scalar product of two vectors is zero, both vectors are orthogonal

A. (-2,5)
(-2,5)*(1,5)-------> -2*1+5*5=23-----------> are not orthogonal

B. (10,-2)
(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are orthogonal

C. (-1,-5)
(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal

D. (-5,1)
(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are orthogonal

the answer is
B. (10,-2) and D. (-5,1) are orthogonal to (1,5)

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2 years ago

The expression below shows the population of foxes in a forest after 12x years.

Mazyrski [523]

We know that:
$(x^{m}) ^{n}= x^{mn}$
$f(x)= 50*(1.05) ^{12x} = 50 * ( 1.05^{12})^{x} = \\ =50*(1.7959) ^{x}$
Answer: A ) f ( x ) = 50(1.05)^x

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2 years ago

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