Answer:
(0,-9)
Step-by-step explanation:
The image of a point over a line
is given by the co-ordinate rule:
→
So, when we reflect a point over the line , the x co-ordinate and y co-ordinate change their places.
Here, is
. So, from the above rule, after reflection over the line
, the image has the following co-ordinates:
Answer:
The radius of a sphere is 2 millimeters
The surface area of a sphere is 50.24 square millimeters.
The circumference of the great circle of a sphere is 12.56 millimeters.
Step-by-step explanation:
<u><em>Verify each statement</em></u>
case A) The radius of a sphere is 8 millimeters
The statement is false
we know that
The volume of the sphere is equal to
we have
substitute and solve for r
case B) The radius of a sphere is 2 millimeters
The statement is True
(see the case A)
case C) The circumference of the great circle of a sphere is 9.42 square millimeters
The statement is false
The units of the circumference is millimeters not square millimeters
The circumference is equal to
we have
substitute
case D) The surface area of a sphere is 50.24 square millimeters.
The statement is True
Because
The surface area of the sphere is equal to
we have
substitute
case E) The circumference of the great circle of a sphere is 12.56 millimeters.
The statement is true
see the case C
case F) The surface area of a sphere is 25.12 square millimeters
The statement is false
because the surface area of the sphere is
see the case D
Answer:
1) 32
2) 3
3) 135
Step-by-step explanation:
to know: when multiplying terms with same base and exponents, multiply the bases and add the exponents
to know: when dividing terms with same base and exponents, divide the bases and subtract the exponents
to know: whenever exponents are contained within a set of parentheses and separated by another set of parentheses, multiply the exponents
1) (·
·
) ÷ 2³
= 3
2) (15· 25j²
) ÷ 5³j³k³ = (375
) ÷ 125j³k³ = 3
3) (5 · 3³) = 135
