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3 years ago

Which expression is equal to x^2+16

Mathematics

2 answers:

LenaWriter [7]3 years ago

8 0

You should indicate which type of expression are you expecting.

But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x

Anna35 [415]3 years ago

4 0

Answer:(x+4i)(x-4i)

Step-by-step explanation:

Apex

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The perimeter of a rectangle is 102 cm. If the length is 15 cm less than twice the width , what are the dimensions?

lianna [129]

Let the length be $\ell$ and the width be $w$ . Now, write the length in terms of the width. "The length is 15 cm. less than twice the width" in the form of an equation is

$\ell = 2w - 15 cm.$

Let's plug that into the equation for the perimeter now. The perimeter of a rectangle is $2 \ell + 2w$ , so the equation for the perimeter of this rectangle is

$2 \ell + 2w = 102 cm.$

Plugging in the length in terms of width and solving for the width, we get

$2(2w - 15 cm.) + 2w = 102 cm.$
$6w - 30 cm. = 102 cm.$
$6w = 132 cm.$
$\bf w = 22 cm.$

To find the length, we just have to plug in the width into the equation we wrote for the length in terms of the width:

$\ell = 2w + 15 cm.$
$\ell = 2(22 cm.) - 15 cm.$
$\bf \ell = 29 cm.$

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3 years ago

WHat is the solution of x^2 + x-6 / x-7 < 0

borishaifa [10]

Answer:

x≤-3 or 2≤x∠7

Step-by-step explanation:

It would be the first answer on the paper

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3 years ago

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800 hm = _____ cm 8 0.08 8,000,000 80,000

il63 [147K]

To solve this conversion factor problem we are going to multiply our original quantity 800hm by conversion factors (expressed as fractions) in order to cancel units until we get centimeters:
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We also now that 1 meter = 100 centimeters, so our second one is $\frac{100cm}{1m}$

Now that we have our fractions, lets multiply our original quantity by them to get our answer in the required units:
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We can conclude that 800hm are 8,000,000cm

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Step-by-step explanation:

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The answer will be 29,000

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