Answer:
0.375
Step-by-step explanation:
0.125 x 3 = 0.375
Answer:
P'(-9, 3)
Step-by-step explanation:
The transformation for rotation counterclockwise about the origin by some angle α will be ...
(x, y) ⇒ (x·cos(α) -y·sin(α), x·sin(α) +y·cos(α))
When the angle is α = 90°, this reduces to ...
(x, y) ⇒ (-y, x)
You have (x, y) = (3, 9), so the image point is P'(-9, 3).
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<em>Additional comment</em>
The "work" is applying the right sign and choosing the right coordinate to fill in the values (-y, x). I find it easier to look up the transformations for ±90° and 180°, rather than try to derive them from first principles every time. Your text may have a list:
- 90° CCW or 270° CW: (x, y) ⇒ (-y, x)
- 90° CW or 270° CCW: (x, y) ⇒ (y, -x)
- 180°: (x, y) ⇒ (-x, -y)
To find roots of a polynomial, you have to find numbers that when you multiply will equal 5 (because 5*1) and add to -5. since the only factors of 5 are 1 & 5, they do not equal -5. you will have to use the quadratic formula to find the roots. if you want decimals, they are 0.723607 & 0.276393
Answer:
Answer
Step-by-step explanation:
OK, there are 360 students in the whole school and 15 classes there, too.
Each class has an EVEN amount of students, so simply, all you need to do is divide (360 divided by 15)
Answer:
x = 7
y = -3
Step-by-step explanation:
x + y = 4 (Multiply this by 9)
-9x + 7y = -84
9x + 9y = 36
-9x + 7y = -84
16y = -48
y = -3
x + y = 4
x - 3 = 4
x = 7
