Answer:
Solve the system of equations by graphing, elimination or
subod
Step-by-step explanation:
The point that divides AB into a 3:2 ratio is calculated by (d) for a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2
<h3>How to determine the ratio?</h3>
The given parameters are:
A = -4
B = 6
Start by calculating the length AB using:
AB = |B - A|
This gives
AB = |6 -(-4)|
Evaluate
AB = 10
Next, the length is divided into 5 parts.
So, the length of each part is:
Length = 10/5
Length = 2
The point on the location 3 : 2 is then calculated as:
Point = A + 3 * Length
This gives
Point = -4 + 3 * 2
Evaluate
Point = 2
The above computation is represented by option (d)
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Answer:
<6
Step-by-step explanation:
Corresponding angles have the same matching corner.
<6 has the same matching corner as <2. <6 and <2 are congruent.
Therefore, it can be concluded that <6 corresponds to <2.
Surface area of sphere equals its four radii squared multiplied by the number π.
We have then:
A = 4 * π * R ^ 2
Substituting:
804 = 4 * π * R ^ 2
Clearing the value of R we have:
R = root (804 / (4 * π))
R = 7.99876785 cm
Nearest whole number:
R = 8 cm
Answer:
The radius of a sphere is:
B. 8cm
Answer:
easy peasy,
the 'n' th term of any arithmetic sequence can be found with the following formula
=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)
all in this case would be,
a = 0
n = 100
d = +5
hence the 100th term would be,
=> 0 + (100 - 1) 5
=> 99 x 5
=> 495
