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klemol [59]
3 years ago
13

I need help what the answer

Mathematics
2 answers:
Mama L [17]3 years ago
6 0

Answer:

1/16

Step-by-step explanation:

you add all the denomenatores and it = 32 you divide that by 2 to give in bc 32/2 =16 and 16x2 = 32

vlabodo [156]3 years ago
4 0

Answer:

the answer is 1/32 yd ^3

Step-by-step explanation:

you multiply all of them together

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8) Identify the property illustrated here. For all a and b: ab = ba
goblinko [34]
It would be commutative bc the numbers switch places... B    I hope that helped :)
 
4 0
3 years ago
Find the equation of the lines, that is parallel to the line 9x-8y=1, and tangent to the elipses 9x^2+16y^2=52.
lara31 [8.8K]

Answer:

The equations of the lines that satisfy these conditions are

y = (9/8)x + (13/4)

And

y = (9/8)x - (13/4)

They can be written further as

8y = 9x + 26

and

8y = 9x - 26

Step-by-step explanation:

The line parallel to the line 9x - 8y = 1 has the same slope as 9x - 8y = 1

Writing the equation of the line in the (y = mx + c) form

8y = 9x - 1

y = (9/8)x - 1

So, the line(s) we are looking for has/have slope(s) of (9/8).

Its equation is then

y = (9/8)x + k

This line is then said to be tangent to the ellipses

9x² + 16y² = 52

So, since the line is a tangent to the ellipses, it will have the same coordinates as the ellipses at the point of contact.

9x² + 16y² = 52

y = (9/8)x + k

y² = (81/64)x² + (18k/8)x + k²

y² = (81/64)x² + (9k/4)x + k²

Substituting this into the ellipses equation,

9x² + 16y² = 52

9x² + 16[(81/64)x² + (9k/4)x + k²] = 52

9x² + (81/4)x² + 36kx + 16k² = 52

29.25x² + 36kx + 16k² - 52 = 0

Taking note that the two lines that will be tangent to the ellipses and parallel to the line given, to establish tangency, we make the discriminant of this equation 0. Hence, the roots of that equation will have equal roots.

So, the discriminant, b² - 4ac = 0

29.25x² + 36kx + 16k² - 52 = 0

a = 29.25

b = 36k

c = 16k² - 52

(36k)² - (4)×(29.25)×(16k² - 52) = 0

1296k² - 1872k² + 6084 = 0

576k² = 6084

k = ±(13/4)

So, the equation(s) of the line(s) required is

y = (9/8)x ± (13/4)

So, the equations include

y = (9/8)x + (13/4)

And

y = (9/8)x - (13/4)

Multiplying by 8, we obtain

8y = 9x + 26

8y = 9x - 26

Hope this Helps!!!

6 0
3 years ago
1 .the base of a trapezoid are 11 meter and 14 meters.its height is 10 meters . what is the area of the trapezoid?
garik1379 [7]

Answer:11

Step-by-step explanation:  Bases of trapezoid : 11 meters and 14 meters

height of trapezoid : 10 meters

Area of trapezoid = (sum of bases / 2) height

A = (11m + 14m)/2  * 10m

A = 25m / 2 * 10m

A = 12.5m * 10m

A = 125m²

8 0
3 years ago
Read 2 more answers
Which ratio forms a proportion with 18/27
JulsSmile [24]

Answer:

\frac{2}{3}

Step-by-step explanation:

The given ratio is \frac{18}{27}

9 is the common factor of 18 and 27

divide numerator and denominator by 9

\frac{18/9}{27/9} =\frac{2}{3}

hence \frac{2}{3} is proportion with \frac{18}{27}

6 0
3 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute
RUDIKE [14]

Answer:

The function notation is given as:

$6 + $30 × x

f(x) = $6 + 30x

The dog walker charges $28.50

Step-by-step explanation:

Let the hourly rate be represented by x

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.

The function notation is given as:

$6 + $30 × x

F(x) = $6 + 30x

How much does the dog walker charge for a 45 minute walk?

We have to convert 45 minutes to 1 hour

60 minutes = 1 hour

45 minutes = x

x = 45/60

x = 3/4(hour)

Putting that in the function notation:

f(x) = $6 + 30x

x = 3/4

$6 + 30(3/4)

$6 + $22.5

= $28.50

Therefore, the dog walker charges $28.50

7 0
3 years ago
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