If the graphs of the equations in a system of linear equations coincide with each other, what does that tell you about the solut
1 answer:
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Answer:
Ratio states that it shows the relative sizes of two or more values.
i,e a to b or a: b or
(1)
Given the statement: A zoo has 17 monkeys and 12 chimpanzees
Write this situation in three ways, comparing the first quantity to the second quantity.
By definition of ratio:
Ratio in three ways are:
17 to 12
17 : 12
or we can write this as 17 over 12.
therefore, Option B is correct.
(2)
As per the statement: In Largo City, about one in every nine homes contains four televisions
Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.
By definition of ratio:
Ratio in three ways are:
4 to 9
4 : 9
therefore, only options C is correct.
(3)
write three ratios for 7 over 35
By definition of ratio;
We have;
Divide both numerator and denominator by 7 we have;
.....[A]
⇒
Multiply both numerator and denominator by 2 in A we get;
Similarly,
Multiply both numerator and denominator by 3 in A, we get
Therefore, 3 ratios equal to 7 over 35 are;
or we can write it as one-fifth
or two -tenths
or three over fifteen
hence, Option D is correct.
(4)
Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets
Number of ticket Jake sold = 28 ticket.
Number of ticket Jeanne sold = 21 ticket.
To find: Number of ticket Jeanne sold to number of ticket Jake sold.
By definition of ratio
⇒
Therefore, the ratio in simplest form is,
Answer:
The standard equation of the sphere is
Step-by-step explanation:
From the question, the end point are (3,-2,4) and (7,12,4)
Since we know the end points of the diameter, we can determine the center (midpoint of the two end points) of the sphere.
The midpoint can be calculated thus
Midpoint =
Let the first endpoint be represented as and the second endpoint be
.
Hence,
Midpoint =
Midpoint =
Midpoint =
Midpoint =
This is the center of the sphere.
Now, we will determine the distance (diameter) of the sphere
The distance is given by
This is the diameter
To find the radius, r
From
∴
r =
Now, we can write the standard equation of the sphere since we know the center and the radius
Center of the sphere is
Radius of the sphere is
The equation of a sphere of radius r and center is given by
Hence, the equation of the sphere of radius and center
is
This is the standard equation of the sphere