In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.
If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.
Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.
Make sure you draw a diagram of it!!
The piecewise function is basically the result of two different functions combined together. If x is 0 or larger, then h(x) = x+4. Otherwise, if x < 0, then h(x) = -x-4
No matter what number you pick for x, the h(x) function will be used in some way. So the domain is the set of all real numbers. To write this in interval notation, we write 
which means we start off at negative infinity and go to positive infinity. This is basically saying "the entire real number line". Since we can't actually reach either infinity, we always use parenthesis with them. <u>Never</u> use square brackets with either infinity
From the graph (see attached image below), we see that (0,-4) is the lowest point. This means y = -4 is the smallest y output possible, though we can't actually reach it because of the open circle at (0,-4). We can get any other larger y value. So the range is therefore: 
meaning we start at -4 and head off to positive infinity. The curve parenthesis next to -4 the reader "exclude -4 as part of the range". There is an open hole or gap here. Another way to state the range is to write y > -4
To get the total cost, add the tax rate to 1, then multiply that by the price of the cartridge:
Total: 17.50 x 1.0925 = $19.12
Answer:
f(x) = |x + 1| + 1
Step-by-step explanation:
A reflection over the y-axis followed by a reflection over x-axis is equivalent to a reflection about origin.
f(x) = -|x-1| -1
reflection over the x-axis:
-f(x) = (-1)*(-|x-1| -1) = |x-1| +1
reflection over the y-axis of the previous function:
-f(-x) = |-x-1| +1 = |x + 1| + 1
which is the reflection of f(x) about the origin
The answer is A
B and D are not answer as they show50-x=50
so x have to be 15 or 5 in A and C
but in C x=5 but 2×x+50 is nt equal to 70
so it is A
