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2 years ago

Rewrite using a single positive exponent. 6^5 6

Mathematics

1 answer:

Fiesta28 [93]2 years ago

7 0

Answer:

$6^{4}$

Step-by-step explanation:

using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$

note that 6 = $6^{1}$ , then

$\frac{6^{5} }{6}$ = $6^{(5-1)}$ = $6^{4}$

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If mBGC = 16x - 4 and mCGD = 2x + 13, find the value of x so that BGD is a right angle

Lelu [443]

Hi there! :)

Answer:

$\huge\boxed{x = 4.5}$

m∠BGC = 16x - 4

m∠CGD = 2x + 13

m∠BGC + m∠CGD sums up to 90°, therefore:

(16x - 4) + (2x + 13) = 90

Combine like terms and simplify:

16x + 2x - 4 + 13 = 90

18x - 4 + 13 = 90

18x + 9 = 90

18x = 81

18x/18 = 81/8

x = 4.5

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3 years ago

Rewrite the quadratic function in vertex form.<br> Y=3x^2-12x+4

chubhunter [2.5K]

Answer:

$\large\boxed{y=3(x-2)^2-8}$

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

$f(x)=a(x-h)^2+k$

(h, k) - vertex

$h=\dfrac{-b}{2a},\ k=f(h)$

We have the equation:

$y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4$

Substitute:

$h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8$

Finally:

$y=3(x-2)^2+(-8)=3(x-2)^2-8$

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3 years ago

What is the product?<br> 1st pic is the question, the rest are the answer options.

zheka24 [161]

Negative x positive = negative

Negative x negative = positive

-4 x 8 = -32

-4 x -1 = 4

-4 x -5 = 20

-4 x 9 = -36

Answer: |-32 4 20 -36|

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2 years ago

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sashaice [31]

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2 years ago

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Please!!!! Please Help!!!!! 30 Points!!!!!

CaHeK987 [17]

Answer:

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Step-by-step explanation:

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44x88=3,872

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A=1/2(pi)(r^2)

A= 3,039.52

Multiply the area above by 2 since there are two semi circles and they are the same size.

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3 years ago

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