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Pavel [41]
2 years ago
6

Geometry question: What are the coordinates of the image of the point (3, -11) under a dilation with a scale factor of 5 and the

center of dilation at the origin?
Mathematics
1 answer:
Alexxandr [17]2 years ago
7 0

Answer:

The coordinates are (15,-55).

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A particular amuesment park ride will make 150 revolitions in 180 seconds at this rate how many revolutions will it make in 2 mi
ASHA 777 [7]

Answer:

100 revolitions

Step-by-step explanation:

180s = 3min

50s = 1min

50 * 2 = 100

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Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use
QveST [7]
\bf 27\implies 3^3\\\\
i^3\implies i\cdot i\cdot i\implies i^2\cdot i\implies -1\cdot i\implies -i\\\\
-----------------------------\\\\
x^3-27i=0\implies x^3+3^3(-i)=0\implies x^3+(3^3i^3)=0
\\\\\\
x^3+(3i)^3=0\\\\
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\textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3\\\\
-----------------------------\\\\

\bf (x+3i)[x^2-3ix+(3i)^2]=0\implies 
\begin{cases}
x+3i=0\implies \boxed{x=-3i}\\\\
x^2-3ix+(3i)^2=0
\end{cases}
\\\\\\
\textit{now, for the second one, we'd need the quadratic formula}
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x^2-3ix+(3i)^2=0\implies x^2-3ix+(3^2i^2)=0


\bf x^2-3ix+(-9)=0\implies x^2-3ix-9=0
\\\\\\
\textit{quadratic formula}\\\\
x= \cfrac{ - {{ b}} \pm \sqrt { {{ b}}^2 -4{{ a}}{{ c}}}}{2{{ a}}}\implies x=\cfrac{3i\pm\sqrt{(-3i)^2-4(1)(-9)}}{2(1)}
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x=\cfrac{3i\pm\sqrt{(-3)^2i^2+36}}{2}\implies x=\cfrac{3i\pm\sqrt{-9+36}}{2}
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x=\cfrac{3i\pm\sqrt{27}}{2}\implies \boxed{x=\cfrac{3i\pm 3\sqrt{3}}{2}}
7 0
3 years ago
. Use the grid on the right.
timofeeve [1]

Answer with Step-by-step explanation:

We are given that

O(0,0),P(3,-1) and Q(2,3) on the coordinate plane.

Mark point O(0,0), P(3,-1) and Q(2,3) on the graph and then join OP,PQ and OQ.

b.We have to find OP and OQ are perpendicular or not.

Slope-formula:m=\frac{y_2-y_1}{x_2-x_1}

By using the formula

Slope of OP=\frac{-1-0}{3-0}=-\frac{1}{3}

Slope of OQ=\frac{3-0}{2-0}=\frac{3}{2}

When two lines are perpendicular then

Slope of one line=-\frac{1}{slope\;of\;other\;line}

Slope of line  OP\neq -\frac{1}{slope\;of\;line\;OQ}

Hence, line OP and OQ are not perpendicular.

3 0
3 years ago
Please help! Offering 15 points with brainiest
Aloiza [94]

Answer:

1/1296

Step-by-step explanation:

P( 5) = number of 5's over total numbers possible

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P( 5,5,5,5) = 1/6 * 1/6 * 1/6* 1/6

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How does paying off the balance monthly help a credit card user avoid finance charges?
Tamiku [17]

Answer:

Credit cards allows us to make purchases today and pay for them later. If it takes us longer than a month to pay off our balance then we will have to pay an extra fee in the form of a finance charge.

Since finance charges is the way of charging us by the credit card issuing authority for carrying a balance on our credit card and not paying it off completely at the end of each month.

Thus, the simple way to avoid finance charges is to not carry a balance and this can be done by paying off the carrying amount on the credit card at the end of each month.

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