Answer:
DB = 24
Step-by-step explanation:
First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.
Also, AE + CE = CA
So, using this, we can write this equation:
AE = CE
x + 4 = 3x -12
Subtract 4 from both sides.
x = 3x -16
Subtract 3x from both sides.
-2x = -16
Divide both sides by -2
x = 8
Then, substitute this into AE + CE = CA
x + 4 + 3x - 12 =
8 + 4 + 24 - 12 = 24
Then, because CA = DB,
DB = 24
I hope this helps! Feel free to ask any questions! :)
Your answer is unlikely. That would be a 1 out of 10 chance.
Answer:
x=y
Step-by-step explanation:
let x be the number of tennis balls and y the number of rackets.
-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

-Hence, for each one ball there is one racket, so;

-This relationship is linear in nature, a direct variation, and can be graphed as attached below:
Answer:
$1,592.74
Martha will need to pay $1,592.74 more
Step-by-step explanation:
Using the compound interest/inflation formula;
A = P(1+r)^(t)
Where;
A = final value
P = initial value = $10,000
r = inflation rate = 3% = 0.03
t = time = 5 years
Substituting the values;
A = $10,000(1+0.03)^(5)
A = $11592.740743
A = $11,592.74
How much more will Martha need to save;
C = final value - initial value = A - P
C = $11,592.74 - $10,000
C = $1,592.74
Martha will need to pay $1,592.74 more
Answer and Step-by-step explanation:
In the equation y = 25x + 100, the format of y = mx + b is being used. This is a very commonly used base for equations in math, especially when it comes to graphing.
In the equation, the m stands for the slope in the equation, and the b stands for the y intercept. Slope can also be found by taking the rise/run of a graph.
So, the slope of this line is 25, and the y-intercept 100.
I have also included the this equation on a graph as well.
I hope that this helps.