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3 years ago

Where is the mistake in the following work? *

Mathematics

1 answer:

stealth61 [152]3 years ago

8 0

Step-by-step explanation:

step 2
$- 9 = - 3x + 5 + 13 \\ - 9 = 2x + 13 \\ - 2x = 4 \\ - 2x \div - 2 = 4 \div - 2 \\ x = - 2$

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ArbitrLikvidat [17]

Answer:

it would be 75

Step-by-step explanation:

4500/60

7 0

3 years ago

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Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit.

madam [21]

The binomial coefficients are 1,5,10,10,5,1 (5/0, 5/1, 4/2, 3/3, 2/4, 1/5)

x^5-25x^4+250x^3-1250x^2+3125x-3125

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3 years ago

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The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden.

MakcuM [25]

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

$w^{2} + 30^{2} = 34^{2} \\ w^{2} + 900 = 1156\\w^{2} = 256\\w = \sqrt{256} = 16$

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

6 0

3 years ago

when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s

Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

$t \propto y^{1/2}$

$t = k\cdot t^{1/2}$

Where:

$t$ - Time spent by the stone, measured in seconds.

$y$ - Height change experimented by the stone, measured in meters.

$k$ - Proportionality constant, measured in $\frac{s}{m^{1/2}}$ .

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

$k = \frac{t}{y^{1/2}}$

If $t = 4\,s$ and $y=78.4\,m$ , then:

$k = \frac{4\,s}{(78.4\,m)^{1/2}}$

$k \approx 0.452\,\frac{s}{m^{1/2}}$

Then, the expression is $t = 0.452\cdot y^{1/2}$ . Finally, if $y = 500\,m$ , then the time is:

$t = 0.452\cdot (500\,m)^{1/2}$

$t \approx 10.107\,s$

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0

3 years ago

Given the coordinates for the function below which of the following are coordinates for its inverse

IgorLugansk [536]

Answer:

Not sure but I believe it is A

Step-by-step explanation:

7 0

3 years ago