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Blizzard [7]
1 year ago
9

Point B is the midpoint of the line segment ACIf A = (9, 2) and B = (4, -4), where is C?

Mathematics
1 answer:
kow [346]1 year ago
7 0

You have that A = (9,2), B = (4,-4)

In order to find the coordinates of C, a point at the middle of the segment AC, you calculate the midpoint of each couple of coordinates.

For the first coordinate:

\frac{9+4}{2}=\frac{13}{2}=6.5

For the second coordinate:

\frac{2-4}{2}=\frac{-2}{2}=-1

Hence, the coordinate of C is C = (6.5 , -1)

For the case of the points (4a,5g) and (-6a,-g), you have:

\begin{gathered} \frac{4a-6a}{2}=\frac{-2a}{2}=-a \\ \frac{5g-g}{2}=\frac{4g}{2}=2g \end{gathered}

Hence, the midpoint is (-a,2g)

\frac{5g-g}{2}=\frac{4g}{2}=2g

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hope this helps :)

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Five members of the soccer team and five members of the track team ran the 100-meter dash. Their times are listed in the table b
Sonbull [250]
Soccer : (12.3 + 13.2 + 12.5 + 11.3 + 14.4) / 5 = 63.7 / 5 = 12.74
track : (12.3 + 11.2 + 11.7 + 12.2 + 13.7) / 5 = 61.1 / 5 = 12.22

difference is : 12.74 - 12.22 = 0.52 <=
3 0
3 years ago
Read 2 more answers
6. Write the explicit formula for the geometric sequence of the height of the ball on the 10th bounce.First bounce: 54 inchescom
Nat2105 [25]

The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.

The explicit formular for the geometric sequence is shown as;

\begin{gathered} ar^{n-1} \\ \text{Where a is the first term in the sequence,} \\ r\text{ is the common ratio betw}een\text{ every successive term} \\ \text{And n is the nth term} \\ \text{The explicit formular for the height of the ball on the 10th bounce is;} \\ ar^{n-1} \\ 54\times(0.750)^{10-1} \\ 54\times(0.750)^9 \\ 54\times0.07508468\ldots \\ 4.0545 \end{gathered}

The explicit formula is shown as;

54 x (0.750)^9

The rest is simply to solve for the height on the 10th bounce

5 0
1 year ago
Which is bigger negative 4 or negative 5
VladimirAG [237]
The answer would be - 4, since as negative numbers move away from zero, their value will get smaller and smaller as opposed to positive numbers which gets bigger and bigger as it moves away from zero.
6 0
3 years ago
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