Answer: son is 12 years old
Step-by-step explanation:
Let m be the age of mother, f be the age of father, and s be the age of son.
m + f + s = 28 x 3 = 84
m + son = 23 x 2 = 46
f + s = 25 x 2 = 50
m = 46 - s
f = 50 - s
we plug in m and f to the functions.
we get 46 - s + 50 - s + s = 84
96 - s = 84
-s = -12
s = 12 years old
Step-by-step explanation:
Well, if 1 gallon of gas = 1 hour then
2 hours would be 2 gallons so only 11 gallons of gas would be left in the tank and
13 hours would be 13 gallons, so 0 gallons of gas would be left in the tank
The matrix R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
<h3>What is the matrix?</h3>
It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
We have vertices shown in the picture.
Form a matrix using the vertices:
![= \left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C7%263%26-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To reflect over the x-axis, multiply by the reflection matrix:
![= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C7%263%26-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![\rm R= \left[\begin{array}{ccc}-3&5&6\\-7&-3&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Crm%20R%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%265%266%5C%5C-7%26-3%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The above matrix represent the reflection matrix.
Thus, the matrices R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.
Learn more about the matrix here:
brainly.com/question/9967572
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Answer:
10.33
Step-by-step explanation:
is equal to 31 divided by 3, which is 10.33333333333333333...
Rounded to the nearest hundredth we get 10.33.
Hope this helps!
Hello,
g=9.81m/s²= 9.81/0.3048 =32.18.. ft/s² rounded to 32
h=-g/2*t²+vt+h0
if t=0,h=0 ==>h0=0
==>h=-16*t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s
25=-16*1.25²+v*1.25
==>v=50/1.25=40
Equation h=-16t²+40*t