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3 years ago

Factor Completely: 25x2 - 64 A) 5(x - 8)(x + 8) B) 5(x - 8)(x - 8) C) (5x - 8)(5x + 8) D) (25x - 1)(x + 64)

Mathematics

1 answer:

ZanzabumX [31]3 years ago

4 0

Rewrite it in the form a^2 - b^2, where a = 5x and b = 8

(5x)^2 - 8^2

Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)

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Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$

Blizzard [7]

$\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}$

$a^{81}\equiv1^{81}\equiv1\pmod7$

$b^{91}\equiv2^{91}\pmod7$

$2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7$
$8\equiv1\pmod7$
$2\equiv2\pmod7$
$\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7$

$c^{27}\equiv6^{27}\pmod7$

$6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7$

$\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7$

6 0

3 years ago

Solve 15(5x−5)+3x=−9(13x+4) . Check your solution.

Iteru [2.4K]

<h2>Answer: 1/5 or 0.2 _____________________________________</h2><h3> Isolate the variable by dividing each side by factors that don't contain the variable. Exact Form: x = 1/5 Decimal Form: x = 0.2</h3><h3>______________________________________________</h3>

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8 0

3 years ago

HELP ON 6,7,8 QUICK ASAP

nirvana33 [79]

Answer:

113 23 67

Step-by-step explanation:

look at the angles and arcs

7 0

2 years ago

What is the solution of the system? Use the elimination method. 2x+y=20 6x?5y=12

Whitepunk [10]

Answer:

(22, - 24)

Step-by-step explanation:

Multiply the first equation by -5 to make the y's so you can add the up to zero.

-5(2x + y = 20)

-10x - 5y = -100 Add the second equation thn solve for x

-4x = -88

x = 22

Plug 22 in for x in either equation

2x + y = 20

2 (22) + y = 20

44 + y = 20

y = -24

3 0

3 years ago

Read 2 more answers

What is the solution set of 12x^2-9x=0??

netineya [11]

12x²-9x = 0
3x(4x-3)=0
4x-3=0
4x=3
x=3/4
so either x = 0 or x = 3/4

6 0

3 years ago