Answer:
B. AD = sqrt(CD * BD)
Step-by-step explanation:
By the right triangle altitude theorem,
CD/AD = AD/BD
AD^2 = CD * BD
AD = sqrt(CD * BD)
Answer: B. AD = sqrt(CD * BD)
Answer:
option a is right.
Step-by-step explanation:
because u can also check by putting the value of x = 5.25 .it satisfies both sides.
The given data of 1/4"=1' is a fixed ratio to be used to find the scale factor of the true measurement of the room. The given measurements are only on the drawing scale. To know the actual area of the room, find first the equivalent length and width. Then, you multiply them to obtain the area.
Through ratio and proportion:
<span>1/4"/1' = 312312"/length
</span>length = 1249248'
1/4"/1' = 514514"/width
width = 2058056'
Thus, the actual area of the bedroom is
A = length×width
A = (1249248')(2058056')
A = 2.57×10¹² square feet
Hi there!
This is very simple, so here's how to complete this math problem.
It looks like you're taking money away, so...
If you have 10$ and you spent 2 of them, the word 'spent' is a subtraction word, so we would subtract.
10$ - 2$ = 8$
So, therefore, you would still have 8 dollars left. :)
Hope this helps! :D
9514 1404 393
Answer:
(x, y, z) = (-1, 3, 6)
Step-by-step explanation:
The augmented matrix for the system is ...
![\left[\begin{array}{ccc|c}4&-4&4&8\\9&3&1&6\\16&4&1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D4%26-4%264%268%5C%5C9%263%261%266%5C%5C16%264%261%262%5Cend%7Barray%7D%5Cright%5D)
Your graphing or scientific calculator can tell you the solution to this system is ...
(x, y, z) = (-1, 3, 6)
__
If you want to solve this by hand, it can work well to divide the first equation by 4 to get ...
x -y +z = 2
This can be subtracted from the other two equations to eliminate z.
(9x +3y +z) -(x -y +z) = (6) -(2) ⇒ 8x +4y = 4
(16x +4y +z) -(x -y +z) = (2) -(2) ⇒ 15x +5y = 0
These two equations can be reduced to standard form:
Subtracting the first equation from the second, we have ...
(3x +y) -(2x +y) = (0) -(1) ⇒ x = -1
Substituting into the first gives y:
2(-1) +y = 1
y = 3 . . . . . . . add 2
Then we can find z from the reduced first equation above:
z = 2 -x +y = 2 -(-1) +3 = 6
Then the solution is (x, y, z) = (-1, 3, 6).
