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3 years ago

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Mathematics

1 answer:

AVprozaik [17]3 years ago

5 0

Answer:

6) first

7) third

8) first

9) forth

10) second

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Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form

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The equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

<h3><u>Solution:</u></h3>

Given that circle having center point (3,7) and the radius r = 4

To find: equation of circle in standard form

<em><u>The equation of circle is given as:</u></em>

$(x - h)^2 + (y - k)^2 = r^2$

Where center (h,k) and radius r units

Given that center point (h , k) = (3, 7) and radius r = 4 units

Substituting the values in above equation of circle,

$(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16$

Thus the equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

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Ksivusya [100]

Answer:

$4(4b - 8) - \frac{3}{8} \\ 16b - 32 - \frac{3}{4} \\ \frac{64b - 128 - 3}{8} \\ \frac{64b - 131}{8}$

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2 years ago

What simple interest rate is needed for $6,000 to earn $1,000 in 15 months

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let's recall that a year has 12 months, so 15 months is really 15/12 years.

$\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$1000\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{15}{12}\dotfill &\frac{5}{4} \end{cases}$

$\bf 1000=(6000)r\left( \cfrac{5}{4} \right)\implies 1000=7500r\implies \cfrac{1000}{7500}=r\implies \cfrac{2}{15}=r \\\\\\ \stackrel{\textit{converting that to a percentage}}{\cfrac{2}{15}\cdot 100 = r\implies \cfrac{40}{3}=r}\implies \stackrel{\%~\hfill }{13.\overline{3}}=r$

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3 years ago

MATH1314-1043,1044 16wks SPR21

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Step-by-step explanation:

how where is the graph cause I don't understand that

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3 years ago

Simplify 2 times the 4th root of 80

xz_007 [3.2K]

The answer is <span>4 times the 4th root of 5. You would take out a 16, and the fourth root of that is 2 so 2 x 2 = 4 which would be outside the fourth root of 5.

Hope this helps! :)</span>

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4 years ago

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