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Luba_88 [7]
3 years ago
10

What is the distance between (2,9) and (1,5)

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

\sqrt{17} = 4.12

Step-by-step explanation:

<h3>d = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }</h3><h3>d = \sqrt{(1-2)^2+(5-9)^2}</h3><h3>d = \sqrt{1+16}</h3><h3>d = \sqrt{17}</h3><h3>d = 4.12</h3>
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Evaluate the logarithm.<br> log2 16
solong [7]

Answer:

log_2 (16)  =  4

Step-by-step explanation:

Here, the given expression is:

log_2 (16)

Now,as we know:

log_b(b^k)  =  k

Now,  log_2 (16)  = log_2 (2^{(4)})

Applying this to the given expression, we get:

log_2 (2^{(4)})  = 4  where:  b = 2, and k  = 4

Hence, log_2 (16)  =  4

6 0
3 years ago
Joanna split three pitchers of water equally among her eight plants. What fraction of a picture did each plant get?
harina [27]
3/8 is the answer...

6 0
3 years ago
What is the value of c in the equation below?
Rudik [331]

Answer:

D

Step-by-step explanation:

Using the rules of exponents

a^{m} × a^{n} = a^{(m+n)} and a^{-m} = \frac{1}{a^{m} }

Given

2^{-4} × 2² = 2^{(-4+2)} = 2^{-2} = c , hence

c = 2^{-2} = \frac{1}{2^{2} } = \frac{1}{4} → D

4 0
3 years ago
Read 2 more answers
A square has an area of 36cm2. What is the perimeter
lesya [120]
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7 0
3 years ago
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What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = S
Oksanka [162]

Answer:

No solution.

Step-by-step explanation:

Given fraction is:

\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)}  = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9}  = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9}  = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m  = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3

<u>Formula used:</u>

<u></u>(a+b)(a-b) = a^{2} -b^{2}<u></u>

<u></u>

But, the above equation was solved at the condition that:

m\neq 3

So, there is no solution for the given equation.

3 0
3 years ago
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