Answer:
A factor of 4
Step-by-step explanation:
Since the longest side for the bigger triangle is 20cm and the smaller triangle 5cm
Hence

Thus a factor of 4
Answer:
10 Weeks
Step-by-step explanation:
If he makes $300 every week minus $40 for his expenses and needs $1200. 300-40=260..... 260x10=1200 So he would have to work 10 weeks at a minimum.
Answer:
Step-by-step explanation:
4⅖ = 22/5 = 242/55
-3 2/11 = -35/11 = -175/55
k = -175/55 - 242/55 = -417/55 = -7 32/55
Answer:

Step-by-step explanation:
It can be solved analytically or graphically. Graphically is the fastest way if you know how to handle the two lines. Let's rearrange terms in either case:

<u>Graphic:</u> Red line is
, solid blue line is
, the thin extension is the parent line without the absolute value.
Solving the equation is equivalent to answer "when is the blue line higher than the red one?" Which obviously happens outside the two intercept points. Let's find the first coordinate of both - we don't really care what's the y coordinate of either point.
For the left point, the x coordinate is given by 
For the right point, we have

<u>Analytical:</u>
We split the problem in two parts: while the content absolute value is non negative, we have

Which admits as solutions all valeus of x greater than 1 (since both have to be satisfied at once, and values between 1/2 and 1 will not work for the second.
OR, with a negative quantity inside the absolute value, we get

which again is satisfied by all values of x less than -1.
Thus the solution is given by 
Answer:
the second statement is not true
Step-by-step explanation:
If x squared equals 100, it doesn't mean necessarily that x is positive ten, since you can get 100 also by squaring the value (-10):
(-10)
The second statement is ignoring the possibility of x being a negative ten which also gives 100 as answered when squared.