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2 years ago

Which binomial is equivalent to (6x + 5y)(6x − 5y)?

Mathematics

1 answer:

lesya [120]2 years ago

7 0

Answer:

$\large\boxed{C)\ 36x^2-25y^2}$

Step-by-step explanation:

$\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\(6x+5y)(6x-5y)=(6x)^2-(5y)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=6^2x^2-5^5y^2=36x^2-25y^2$

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MULTIPLE CHOICE HELP ASAP! Brainliest for correct answer.

N76 [4]

Answer:

An equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.

Step-by-step explanation:

Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3

The equation of circle is of form: $(x-h)^2+(x-k)^2=r^2$ where (h,k) is centre and r is radius.

We have centre C (-2,1) so, we have h = -2 and k = 1

We have radius = 3 so, r = 3

Putting values in the equation and finding the required equation:

$(x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9$

So, an equation of the circle with centre (-2,1) and radius 3 is $\mathbf{(x+2)^2+(x-1)^2=9}$

Option D is correct.

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2 years ago

A cable is 50 decimeters long. How long is the cable in meters?

ratelena [41]

Answer:

The cable is 5 Meters long.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

(64-8)÷4 answer ASAP please

Ann [662]

Answer:

Step-by-step explanation:

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3 years ago

Use the grouping method to factor x³ + x² + 3x+3.

Annette [7]

Answer:

D. $(x + 1)(x^2 + 3)$

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

<h3>Factor by Grouping</h3>

$x^2 + x^2 + 3x + 3$
$x^2(x + 1) + 3(x + 1)$
$(x^2 + 3)(x + 1)$

Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite $x^3 + x^2$ as $x^2(x + 1)$ , as both the two terms share a common factor of $x^2$ . We can pull out $x^2$ from that expression. Similarly, $3x$ and $3$ share a common factor of $3$ , so we can pull that out.

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1 year ago

Write the explicit formula for the geometric sequence.<br><br> a1 = -5 a2 = 20 a3 = -80

Anni [7]

$a_1 = -5;\ a_2 = 20;\ a_3 = -80 \\\\a_2:a_1=r\ and\ a_3:a_2=r\\\\r=20:(-5)=-4\ check\ r=-80:20=-4\\\\a_n=a_1r^{n-1}\to a_n=-5\cdot(-4)^{n-1}=-5\cdot(-4)^{-1}\cdot(-4)^n\\\\=-5\cdot\left(-\dfrac{1}{4}\right)\cdot(-4)^n=\dfrac{5}{4}\cdot(-4)^n\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}\ other\ a_n=\frac{5}{4}\cdot(-4)^n}$

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2 years ago