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frutty [35]
2 years ago
14

Define: slant height

Mathematics
1 answer:
larisa86 [58]2 years ago
5 0

Answer:

The slant height which is the distance from the top, down the side, to a point on the base circumference.

Step-by-step explanation:

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3 years ago
What is the center and radius of the circle defined by the equation (x-4)^2+(y-7)^2=49
AlekseyPX

Answers:

Center = (4, 7)

Radius = 7

===========================================================

Explanation:

The general template of any circle is

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This general circle has these properties:

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Based on the equation your teacher gave you, we see that

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Therefore, this circle has center = (4,7) and radius = 7

Side note: The center's y coordinate and radius aren't always the same value.

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Answer:x=8

Step-by-step explanation:

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2 years ago
Point A is located at (5, 10) and point B is located at (20, 25).
Alla [95]
Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at  a ratio of 7, thus 3:7,

\bf \left. \qquad  \right.\textit{internal division of a line segment}&#10;\\\\\\&#10;A(5,10)\qquad B(20,25)\qquad&#10;\qquad 3:7&#10;\\\\\\&#10;\cfrac{AC}{CB} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(5,10)=3(20,25)\\\\&#10;-------------------------------\\\\&#10;{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\&#10;-------------------------------

\bf C=\left(\cfrac{(7\cdot 5)+(3\cdot 20)}{3+7}\quad ,\quad \cfrac{(7\cdot 10)+(3\cdot 25)}{3+7}\right)&#10;\\\\\\&#10;C=\left( \cfrac{35+60}{10}~~,~~\cfrac{70+75}{10} \right)\implies C=\left(\cfrac{95}{10}~~,~~\cfrac{145}{10}  \right)&#10;\\\\\\&#10;C=\left( \cfrac{19}{2}~~,~~\cfrac{29}{2} \right)\implies C=\left( 9\frac{1}{2}~~,~~14\frac{1}{2}  \right)
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