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3 years ago

Help please!!! Solve 49^ x = 7

Mathematics

2 answers:

Maru [420]3 years ago

7 0

The variable <em>x </em>is equal to 0.5

zzz [600]3 years ago

3 0

49^x=7

make bases same

{(7)^2}^x=(7)^1

(7)^2x=(7)^2

bases are same so powers are equal

2x=1
x=1/2

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Find the distance between the points (7, –5) and (–2, –4).

nasty-shy [4]

9.055

Step-by-step explanation:

distance

= √(x₁ - x₂)² + (y₁ - y₂)

= √[7 - (-2)]² + [-5 - (-4)]²

= √[9]² + [-1]²

= √(81 + 1)

= √82

≈ 9.055

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3 years ago

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aksik [14]

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Step-by-step explanation:

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Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values

gayaneshka [121]

The domain of the graph is $-8$ while the range of the graph is $-4\leq x$ .

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3 0

3 years ago

How do I simplify 1/-5z^-5?

belka [17]

$\bf \cfrac{1}{-5z^{-5}}\\\\
-------------------------\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\\ \quad \\
% negative exponential denominator
a^{{ n}} \implies \cfrac{1}{a^{- n}}
\qquad \qquad 
\cfrac{1}{a^{- n}}\implies \cfrac{1}{\frac{1}{a^{ n}}}\implies a^{{ n}} \\\\
-------------------------\\\\
thus
$

$\bf -\cfrac{1}{5}\cdot \cfrac{1}{z^{-5}}\implies -\cfrac{1}{5}\cdot \cfrac{1}{\frac{1}{z^5}}\implies -\cfrac{1}{5}\cdot \cfrac{\frac{1}{1}}{\frac{1}{z^5}}\implies -
\cfrac{1}{5}\cdot \cfrac{1}{1}\cdot \cfrac{z^5}{1}
\\\\\\
-\cfrac{z^5}{5}$

3 0

3 years ago