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Stella [2.4K]
4 years ago
5

Many middle colonies were created so that people could gain wealth but in contrast many new england colonies served as a refuge

for people who faced what kind of persecution?
History
1 answer:
tresset_1 [31]4 years ago
8 0

The correct answer to this open question is the following.

Although the question does not include options, we can answer the following.

Many middle colonies were created so that people could gain wealth but in contrast, many New England colonies served as a refuge for people who faced religious persecution.

That was the case of the Puritans, that had so many differences in Britain with the Church of England and were persecuted for religious motives. The Puritans decided to emigrate to North America and arrived at Cape Town, Massachusets in 1620. There, they founded the Plymouth colony, a place where they could live and teach their strict religious principles.

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13.what is the equation of a parabola with the given vertex and focus ?
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<span>(x-h)^2=4p(y-k), (h,k)=(x,y)

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--------------------------------------------------------------------------------

14. W<span>hat is the center and radius of a circle with the given equation?
</span><span>x2</span>+4x+<span>y2</span>−10y−7=<span>0

</span>Move all variables to the left side and all constants to the right side.<span><span>x2</span>+4x+<span>y2</span>−10y=7+<span>0

</span></span>Add <span>77</span> and <span>00</span> to get <span>77</span>.<span><span>x2</span>+4x+<span>y2</span>−10y=<span>7

</span></span>Complete the square<span> for </span><span><span><span>x2</span>+4x</span><span><span>x2</span>+4x</span></span><span>.
</span><span><span>(x+2)</span>2</span>−<span>4
</span>
Substitute <span><span><span><span>(x+2)</span>2</span>−4</span><span><span><span>(x+2)</span>2</span>-4</span></span> for <span><span><span>x2</span>+4x</span><span><span>x2</span>+4x</span></span> in the equation <span><span><span>x2</span>+4x+<span>y2</span>−10y=7</span><span><span>x2</span>+4x+<span>y2</span>-10y=7</span></span>.<span><span><span>
(x+2)</span>2</span>−4+<span>y2</span>−10y=<span>7

</span></span>Move <span><span>−4</span><span>-4</span></span> to the right side of the equation by adding <span>44</span> to both sides.<span><span><span>(x+2)</span>2</span>+<span>y2</span>−10y=7+<span>4

</span></span>Complete the square<span> for </span><span><span><span>y2</span>−10y</span><span><span>y2</span>-10y</span></span><span>.
</span><span><span>(y−5)</span>2</span>−<span>25

</span>Substitute <span><span><span><span>(y−5)</span>2</span>−25</span><span><span><span>(y-5)</span>2</span>-25</span></span> for <span><span><span>y2</span>−10y</span><span><span>y2</span>-10y</span></span> in the equation <span><span><span>x2</span>+4x+<span>y2</span>−10y=7</span><span><span>x2</span>+4x+<span>y2</span>-10y=7</span></span>.<span><span><span>
(x+2)</span>2</span>+<span><span>(y−5)</span>2</span>−25=7+<span>4

</span></span>Move <span><span>−25</span><span>-25</span></span> to the right side of the equation by adding <span>2525</span> to both sides.<span><span><span>(x+2)</span>2</span><span><span>(y−5)</span>2</span>=7+4+<span>25

</span></span>Add <span>77</span> and <span>44</span> to get <span>1111</span>.<span><span><span>(x+2)</span>2</span>+<span><span>(y−5)</span>2</span>=11+<span>25

</span></span>Add <span>1111</span> and <span>2525</span> to get <span>3636</span>.<span><span><span>(x+2)</span>2</span>+<span><span>(y−5)</span>2</span>=<span>36

</span></span>This is the form of a circle. Use this form to determine the center and radius of the circle.<span><span><span>(x−h)</span>2</span>+<span><span>(y−k)</span>2</span>=<span>r<span>2

</span></span></span>Match the values in this circle to those of the standard form. The variable <span>rr</span> represents the radius of the circle, <span>hh</span> represents the x-offset from the origin, and <span>kk</span> represents the y-offset from origin.<span><span>r=6</span><span>r=6</span></span><span><span>h=−2</span><span>h=-2</span></span><span>k=<span>5

</span></span>These values represent the important values for graphing and analyzing a circle.Center: <span>(−2,5)(-2,5)</span>Radius: 6

6 0
3 years ago
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