You use the Pitagora formula:
CD^2+BD^2= (6x-10)^2
CD^2+AD^2=16x^2
AD^2-BD^2=16x^2-(36x^2-120x+100)
0=-20x^2+120x-100
x^2-6x+5=0
x^2-x-5x+5=0
x(x-1)-5(x-1)=0
(x-1)(x-5)=0
x1=1 but if x=1 it means that BC=-4 which cannot be possible
x2=5 so x=5
The answer to your question is C. I hope that this is the answer that you were looking for and it has helped you.
Answer:
B
Step-by-step explanation:
1) Look at the y-intercepts.
The y-intercepts on both equations are the same: 5. That means both equations touch the y-axis at (0,5).
That means we can rule out both A & C.
2) Calculate the rate of change (a.k.a. slope) of f(x).
To do this, we must use two points to find the change of y over the change of x. From the graph, we can use the points (1,2) and (2,-1).
Δy / Δx = 
<em>*The little triangles are the Greek symbol delta. They mean change in...*</em>
That means that the slope of f(x) is -3.
3) Figure out the rate of change (a.k.a. slope) of g(x).
To do this, all we have to do is look at the equation. It is written in y = mx + b format where m = slope and b = y-intercept. That means the slope is 5 as in place of "m" there is a 5.
4) The Answer
The answer is B because 5 [the rate of change for g(x)] is greater than -3 [the rate of change for f(x)].
Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
As shown in the model below, there are three lines.
