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3 years ago

Solve the equation and this is an assignment btw

Mathematics

1 answer:

lilavasa [31]3 years ago

4 0

Answer:

z=6 and z=-6

Step-by-step explanation:

$7z^2=252$

Divide both sides by 7

$\frac{7z^2}{7} =\frac{252}{7} \\z^2=36$

Find the square root

z=±√36

z=±6

Therefore, z=6 and z=-6.

I hope this helps!

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Using the Pythagorean

miss Akunina [59]

Answer:

13.5 units

Step-by-step explanation:

<u>Use distance formula:</u>

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

<u>Substitute the coordinates:</u>

$d = \sqrt{(-3-7)^2+(-3-6)^2} =\sqrt{10^2+9^2} =\sqrt{181} =13.5$ rounded

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2 years ago

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Need help with this question.

solniwko [45]

We have this equation:

$\log(x) + \log(x + 99) = 2$

First, combine both logarithms using the multiplication property and simplify the expression.

$\log[x(x + 99)] = 2$

$\log[ {x}^{2} + 99x ] = 2$

Now, use the definition of logarithm to transform the equation.

${10}^{2} = {x}^{2} + 99x$

${x}^{2} + 99x - 100 = 0$

Finally, use the quadratic formula to solve the equation.

$x = \frac{ -99 ± \sqrt{ {99}^{2} - 4 \times 1 \times ( - 100)} }{2 \times 1}$

With this, we can say that the solution set is:

x = 1
x = -100

We cannot choose x = -100 as a solution because we cannot have a negative logarithm. The only solution is x = 1.

8 0

2 years ago

The sum of three consecutive odd integers is 17 less than four times the smallest integer. find the largest integer.

soldi70 [24.7K]

Answer:

Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.

7 answers

1 vote:

Let the smallest of those numbers be [math]n[/math], then the other numbers w

Step-by-step explanation:

4 0

3 years ago

I need lots of help so please help me

VARVARA [1.3K]

The painting's original price was $3,500.

Step-by-step explanation:

Step 1:

The price now is $500 lesser than 3 times the original price. So

The current selling price = (3 × original price) - $500.

If the current selling price is y and the original price is x, then

$y = 3x-500.$

Step 2:

For this question, we have $y = 10,000$ . Substituting this in the equation, we get

$10,000 = 3x - 500, 3x = 10,500, x = \frac{10,500}{3} = 3,500.$

So the original price of the classic painting was $3,500.

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3 years ago

Need help! Due at 12:00 pm

alexandr402 [8]

The answer is A mark me brainless

5 0

3 years ago

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Solve the equation and this is an assignment btw​

Solve the equation and this is an assignment btw