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Fantom [35]
3 years ago
8

Simplify the expression.

Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

C. \huge\frac{1}{3x {y}^{2}  {z}^{4}}

Step-by-step explanation:

(9 {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} }  \\   \\  = ( {3}^{2}  {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} }  \\  \\  =  \frac{1}{( {3}^{2}  {x}^{2}  {y}^{4}  {z}^{8} )^{ \frac{1}{2} }}  \\  \\  =  \frac{1}{(3x {y}^{2}  {z}^{4})^{2 \times  \frac{1}{2} }  }  \\  \\  =  \frac{1}{3x {y}^{2}  {z}^{4}} \\  \\  \red{ \bold{ \therefore \: (9 {x}^{2}  {y}^{4}  {z}^{8} )^{  - \frac{1}{2} } =  \frac{1}{3x {y}^{2}  {z}^{4}} }}\\

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The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
Sliva [168]

Answer:

i. x^{2} + 26x + 144 - 299 = 0

ii. x = 5

Step-by-step explanation:

The area of the figure = 299 cm²

The figure has a shape of a rectangle, so that;

Area of rectangle = length x width

length of the figure = 18 + x

width of the figure = 8 + x

Area of the figure = (18 + x) x (8 + x)

299 = (18 + x) x (8 + x)

299 = x^{2} + 26x + 144

x^{2} + 26x + 144 - 299 = 0

x^{2} + 26x - 155 = 0

applying the trigonometric formula;

x = (-b ± \sqrt{b^{2} - 4ac}) ÷ 2a

= (-26 ± \sqrt{(26)^{2} - 4(1*-155)}) ÷ 2

= (-26 ± \sqrt{676 +620}) ÷ 2

= (-26 ± \sqrt{1296}) ÷ 2

= (-26 ± 36) ÷ 2

x = (-26 + 36) ÷ 2  OR x = (-26 -36) ÷ 2

  = 10 ÷ 2 OR -62 ÷ 2

  = 5 OR -31

Thus, x = 5

5 0
3 years ago
Assume you still have 9 customers to call today and you have an hour and a half until your next break (90 minutes). To get the c
mojhsa [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
The degree of the polynomial function below is ____ <br> f(x)=-3x^5+4x-2
andreev551 [17]

Answer:

the degree of the polynomial is 5

4 0
3 years ago
Can you please help me? Keep it a little basic. (no decimals) Thanks for the help!
Delvig [45]
When you are dividing fractions you just flip the second fraction upside down and multiply the two fractions
So the first is
½ x 6/1 = 6/2 = 3

For the second you write them as improper fractions then do the same
So it is
3/2 / 1/8 = 3/2 x 8/1 = 24/2 = 12

So the answer to the first question is 3 and the second is 12
4 0
3 years ago
Read 2 more answers
An observer on a cliff 1000 yards above sea level sights two ships due east. The angles of depression from the observers perspec
Anika [276]

Answer:

480.53 yards

Step-by-step explanation:

cos(35) = 1000/hypotenuse1    - multiply by h (hypotenuse)

(h1)cos(35) = 1000        - divide by cos(35)

h1 = 1000 / cos(35)

h1 = 1220.7746

Same thing with the angle of depression of 54 degrees.

h2 = 1000 / cos(54)

h2 = 1701.3016

h2 - h1 = 480.53

3 0
3 years ago
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