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2 years ago

Solve the equation with special factors. (Please show all steps) 16q^2 - 81 = 0

Mathematics

2 answers:

steposvetlana [31]2 years ago

6 0

Answer:

q = ± $\frac{9}{4}$

Step-by-step explanation:

16q² - 81 = 0 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

16q² - 81 = 0

(4q)² - 9² = 0

(4q - 9)(4q + 9) = 0

Equate each factor to zero and solve for q

4q - 9 = 0 ⇒ 4q = 9 ⇒ q = $\frac{9}{4}$

4q + 9 = 0 ⇒ 4q = - 9 ⇒ q = - $\frac{9}{4}$

guapka [62]2 years ago

5 0

Answer: $q=\frac{\sqrt{81}}{16}$

Step-by-step explanation:

$16q^2-81=0\\16q^2=0+81=81\\16q=\sqrt{81} \\q=\frac{\sqrt{81}}{16}$

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Write a ratio, in the simplest form and a percent for the shaded area (there's a 5x4 box and 6 cubes are shaded)

Alexxandr [17]

Answer:

$\%Percent = 30 \%$

Step-by-step explanation:

Given

$Shaded = 6\ cubes$

$Box = 5\ x\ 4$

Required

Determine the percentage of the shaded cubes

First, we calculate the number of boxes:

$Box = 5\ x\ 4$

Express as multiplication

$Box = 5\ *\ 4$

$Box = 20$

This implies that there are 20 cubes in the box.

The percentage of the shaded cubes is:

$\%Percent = \frac{Shaded}{Box} * 100\%$

$\%Percent = \frac{6}{20} * 100\%$

$\%Percent = \frac{6* 100}{20} \%$

$\%Percent = \frac{600}{20} \%$

$\%Percent = 30 \%$

30% were shaded

5 0

2 years ago

Can someone help pls.

kap26 [50]

My goodness, this is rather confusing in the way it is worded. Nevertheless, I will attempt to do what I can. Just please keep in mind that this is my own interpretation of the problem, and therefore could be... incorrect.

I think, to start out, we could set up the problem like so

15 + t ≥ 26

because t is not a set number.

Then all that is needed is to subtract 15 from both sides, and the equation becomes

t ≥ 11

So the resulting answer is t ≥ 11.

I hope that my interpretation helps.

-Toremi

8 0

2 years ago

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12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

vodomira [7]

Answer:

Part A; Initial dosage is 10 milligrams

Part B:

8.4113 milligrams after 1 hour

5.0057 milligrams after 4 hours.

Step-by-step explanation:

It is given M(h)= 10 $e^{-0.173h}$

Initial dosage is the 10 milligrams

After 1 hour, plug in h as 1

So, M(1)=10 $e^{-0.173*1}$

Simplify the right side

M(1)=10(0.84113)

M(1)= 8.4113 milligrams.

Now, after 4 hours

M(4)=10 $e^{-0.173*4}$

M(4)=10(0.50057)

M(4) =5.0057 milligrams

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2 years ago

What is the distace tweenn (4,-7) and (-5,-7)

love history [14]

The distance between them is 9.

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3 years ago

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Rewrite the following expression x^9/7

Alexxx [7]

Answer:

$\sqrt[7]{x^9}$

Step-by-step explanation:

its kinda difficult for me to explain so i guess just use this equation next time:

$x^{m/n} = \sqrt[n]{x^m}$

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2 years ago