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3 years ago

Simplify 2^3 + 6^1 =

Mathematics

2 answers:

maxonik [38]3 years ago

6 0

Answer:

Step-by-step explanation:

2^3=8

6^1=6

8+6=14

PIT_PIT [208]3 years ago

4 0

Answer:

2^3+6^1

8+6

Step-by-step explanation:

2^3 can be expanded to 2x2x2 which equals 8

6^1 can be expanded to 6x1 which is 6

2^3+6^1 can be simplified to to 8+6

8+6 is 14

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Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0

skad [1K]

$\bf x^2+y^2-6y-8=0\qquad 
\begin{cases}
x^2+y^2=r^2\\\\
y=rsin(\theta)
\end{cases}\implies r^2-6rsin(\theta)=8
\\\\\\
\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8
\\\\\\\
[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby 
\begin{array}{llll}
\textit{so we need a value there to make}\\
\textit{a perfect square trinomial}
\end{array}$

$\bf 6rsin(\theta)\iff 2\cdot r\cdot \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}
\\\\\\
\textit{now, bear in mind we're just borrowing from zero, 0}
\\\\
\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}$

$\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\
\left. \qquad \right.\uparrow \\
\textit{so-called "completing the square"}
\\\\\\\
[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)
\\\\\\
r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}\implies r=\sqrt{8+9sin^2(\theta)}+3sin(\theta)$

3 0

3 years ago

Write the contrapositive and the converse of the following conditional

Lunna [17]

The contrapositive statement are:

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The converse statement are:

If the late is frozen, then it is cold.
If Solomon is happy, then he is healthy.
If Tigist Tigist does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

If the lake is frozen, then it isn't cold.
If Solomon is happy, then he isn't healthy.
If Tigist does not take a walk, then it will not rain

Learn more about contrapositive statement from

brainly.com/question/1713053

#SPJ1

6 0

2 years ago

Read 2 more answers

Write 0.3 as a fraction in simplest form.

s344n2d4d5 [400]

The question is asking to convert the said decimal value in a simplest fraction form, base on my research and further calculation, I would say that the answer would be 3/10. I hope you are satisfied with my answer and feel free to ask for more

6 0

3 years ago

(Y = -x + 4), (y = 3/2x - 6)

Temka [501]

Answer:

$x = 4$

Step-by-step explanation:

$- x + 4 = \frac{3}{2} x - 6 \\ - 2x + 8 = 3x - 12 \\ 2x - 8 = - 3x + 12 \\ 5x = 20 \\ x = 4$

8 0

3 years ago

You are studying for your final exam of the semester. up to this point,you recieved 3 exam scores of 83%,85%, and 84%. to reciev

tamaranim1 [39]

<span>[68,100]

This will allow you to get a B score.

To solve find the medium by adding the values divided by 4, solve for the unknown of the final exam, with the minimum value equalling 80, this will give you 68.</span>

8 0

3 years ago

Read 2 more answers