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4 years ago

(997)2 + 6 x 997 + 9

Mathematics

1 answer:

Igoryamba4 years ago

5 0

Answer: 1,000,000

Step-by-step explanation:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

997 times its self

994,009+6x997+9

994,009+5,982+9

994,009+5,982= 999,991

999,991+9= 1,000,000

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[7.07] Choose the correct product of (6x + 2)2.

Elodia [21]

Answer:
36x^2 + 24x + 4

Explanation:
The perfect square has the following general formula:
(a + b)^2 = a^2 + 2ab + b^2

Now, we will expand the given perfect square based on the above general formula:
(6x + 2)^2 = (6x)^2 + 2(6x*2) + (2)^2
= 36x^2 + 24x + 4

Hope this helps :)

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3 years ago

Read 2 more answers

Find the distance between (1, 4) and (-2, 0)

Vanyuwa [196]

Answer:

$\boxed {d = 5}$

Step-by-step explanation:

Use the Distance Formula to help you determine the distance between two given points:

$d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

First point: $(x_{1}, y_{1})$

Second Point: $(x_{2}, y_{2})$

-Apply the two given points onto the formula:

First point: $(1, 4)$

Second point: $(-2, 0)$

$d = \sqrt{(-2 - 1)^{2} + (0 - 4)^{2}}$

-Solve for the distance:

$d = \sqrt{(-2 - 1)^{2} + (0 - 4)^{2}}$

$d = \sqrt{(-3)^{2} + (-4)^{2}}$

$d = \sqrt{9 + 16}$

$d = \sqrt{25}$

$\boxed {d = 5}$

Therefore, the distance is $5$ .

4 0

2 years ago

What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

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3 years ago

Solve the following non-linear system of equations algebraically.

ExtremeBDS [4]

Answer:

x = -2

Step-by-step explanation:

since y is common in both equations, you can equate them to be equal

-2x² - 4x + 5 = 2x² + 4x + 5

4x² + 8x = 0

factor out 4x

4x(x + 2) = 0

divide both sides by 4x

x + 2 = 0

x = -2

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3 years ago

Calculate the total installment price the carrying charges in the number of months needed to save them money at the monthly rate

masha68 [24]

Answer:

the total installment is $936
the carrying charges are $186
the monthly rate to buy the items are 19.23 or 20 months

Step-by-step explanation:

$39 for 24 months comes to ...

$39 × 24 = $936

The "carrying charges" are the difference between the cash price and the installment price:

$936 -750 = $186

Saving at the rate of $39 per month, it would take ...

$750/$39 = 19.23 months about 20 months to save up the cash price.

Often, such savings would come from a once-a-month paycheck, so it would take more than 19 such paychecks to save the required amount.

hope it will help :)

3 0

3 years ago

(997)2 + 6 x 997 + 9​

(997)2 + 6 x 997 + 9