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3 years ago

Perform the indicated operation. y^2 + 3y-10/3y+15 divided (10-5y)

Mathematics

1 answer:

GrogVix [38]3 years ago

6 0

Answer:

-1/15

Step-by-step explanation:

(y^2+3y-10)/(3(y+5)) / (5(2-y))

-----

Factor::

[(y+5)(y-2)/(3(y+5))] / (-5(y-2))

--------------

Cancel (y+5) and (y-2) to get::

= -1/15

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X +3y =15 x-2y=10 help plz

solong [7]

Answer:

What is that

Step-by-step explanation:

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3 years ago

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Using the numbers -4, 10, 8, 2, -3, -5, write down two expressions that equal 6. You can use any relevant operation. You have to

Valentin [98]

Answer:

$\sf \Bigg[ \frac{ ( - 4 \times ( - 3)) }{2} \Bigg] \: and \: \Bigg[ \frac{ - ( - 5 \times 8)}{10} + 2 \Bigg]$

Step-by-step explanation:

Given:

$The \: numbers \rightarrow -4, 10, 8, 2, -3, -5$

To find:

Two expressions that equal 6 using the given numbers

Solution:

Expression first,

Using numbers -4, 2, -3,

aligning the above numbers as,

$\frac{ ( - 4 \times ( - 3)) }{2}$

will out put 6.

Verification,

$\frac{ ( - 4 \times ( - 3)) }{2} = \frac{12}{2} = \cancel\frac{12}{2} = 6$

Expression second,

Using numbers 10,8,2,-5

aligning the above numbers as,

$\frac{ - ( - 5 \times 8)}{10} + 2$

will result 6.

Verification

$\frac{ - ( - 5 \times 8)}{10} + 2 = \frac{ 40}{10} + 2 \\ \\ \frac{ - ( - 5 \times 8)}{10} + 2= 4 + 2 \\ \\\frac{ - ( - 5 \times 8)}{10} + 2 = 6$

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2 years ago

What is x need help asap???

Alik [6]

You will notice that 48°, x, and x lie upon a straight line. The sum of those angles must then be equal to 180°. Which means:

48+x+x=180

48+2x=180

2x=132

x=66°

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2 years ago

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The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as

geniusboy [140]

Based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.

<h3>What is the Length of an Arc?</h3>

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.

Arc length = ∅/360 × 2πr

Since the sector formed is a quarter circle, then ∅ = 90°.

Raidus (r) = 70 ft

Distance from the starting point to the return point = arc length.

Arc length = ∅/360 × 2πr = 90/360 × 2π(70)

Arc length = 109.9 feet

Therefore, based on the theory, the distance from the starting point to the return point = Arc length = 109.9 feet.

Learn more about the arc length on:

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2 years ago

How to convert base two to base three

sladkih [1.3K]

Consider this example: say we want to convert x = 11 0101 1001₂ to base 3.

The binary expansion of x is

x = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰

which in base 10 reduces to

x = 512 + 256 + 64 + 16 + 8 + 1 = 857

Recall the first several powers of 3:

3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729

Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.

• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or

857 = 1×729 + 128 = 1×3⁶ + 128

• How many times does 81 go into 128? Also 1 time, so

128 = 1×81 + 47 = 1×3⁴ + 47

• How many times does 27 go into 47? Also 1 time,

47 = 1×27 + 20 = 1×3³ + 20

• How many times does 9 go into 20? 2 times,

20 = 18 + 2 = 2×9 + 2 = 2×3² + 2

• How many times does 1 go into 2? Also 2 times,

2 = 2 + 1 = 2×1 + 0 = 2×3⁰

So we found

857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰

which is the ternary expansion of x,

x = 1 011 202₃

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2 years ago