Answer:
B. (-3, -7)
Step-by-step explanation:
Anytime you rotate a number 180° about the origin, the numbers in the coordinates become their opposites.
-3 is the opposite of 3 and -7 is the opposite of 7.
Therefore, your new coordinates are (-3, -7)
(x,y) becomes (-x,-y)
Answer:
D. 4
Step-by-step explanation:
Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
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in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
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We want to solve for "w" (width) ;
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Given the formula:
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V = L * w * h ;
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Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
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→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
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→ V / (L * h) = w ;
↔ w = V / (L * h) ;
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Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
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→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
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Answer:
The radius of the circle is √26.
Step-by-step explanation:
Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.
To find the distance between two points, the following equation should be used:
Replacing the numeric values:
The radius of the circle is √26.
