Answer:
See solutions below
Step-by-step explanation:
1) From the diagram QS = RS
3x = 2x+2
3x-2x = 2
x = 2
Since RS = 2x+2
RS = 2(2)+2
RS = 4 + 2
RS = 6
2) RQ = RS + QS
RQ = 2x+2 + 3x
RQ = 5x+2
RQ = 5(2)+2
RQ = 12
3) PQ = PR
3y-1 = y+5
3y-y = 5+1
2y = 6
y = 3
PQ = 3y-1
PQ = 3(3)-1
PQ = 8
4) PR = y+5
PR = 3+5
PR = 8
5) PQSR = PQ + QR
PQSR = 8 + 12
PQSR= 20
Answer:
448 tracks
Step-by-step explanation:
So first we need to figure out what 28% of 350 is and then add that value onto 350.
- First we need to convert 28% into a decimal or a fraction
- 28% is equivalent to 0.28,
, and
- I will use 0.28 for simplicity
To figure out what 28% of 350 is, we need to multiply 350 by one of the three options above
- (350)(0.28) = <u>98 tracks</u>
Now that we have figured out what 28% of 350 is, we can now add this value to 350 to get the total number of tracks.
Answer:
translation 2 units left
; reflection across the y-axis
Step-by-step explanation:
The y-coordinates of the points do not change from the pre-image to the image. This means there is no translation down (this would add or subtract to the y-coordinates) and no reflection across the x-axis (this would negate the y-coordinates).
This leaves us with a translation 2 units left and a reflection across the y-axis.
The translation 2 units left adds 2 to the x-coordinates, and the reflection across the y-axis negates the x-coordinates. If we add 2 first, the coordinates would be (-4+2, 6) = (-2, 6); (-2+2, 2) = (0, 2); and (-6+2, 2) = (-4, 2).
Negating each of these would give us (2, 6); (0, 2); and (4, 2). These are the desired image coordinates.
Answer:

Step-by-step explanation:
We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.
First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.
Hence, we will have the three factors:

Where <em>a</em> is the leading coefficient.
Expand and simplify the second and third factors:

Hence:

Since f(-1) = 30:

In conclusion, third degree polynomial function is:
