Hi there, 11-2=9 and we keep the common denominators the same. Therefore, the answer would be 9/5. If you want to turn 9/5 into a mixed number that would be 1 4/5
Answer:
x+6y=5
3x+y=16
6x+2y=8
Step-by-step explanation:
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)
Answer:
$936
Step-by-step explanation:
Simple interest is money you can earn by initially investing some money (a.k.a the principal). In return, a percentage (a.k.a the interest) of the initial money invested is added to the principal, this is what makes your initial investment grow.
The equation for simple interest is:
I = P x r x t
P = Principal, $2600
r = interest rate, 12%
t = time involved, 3 years
Fill in the values:
2600 × 0.12 × 3 = $936.00
Answer:
85 cm²
Step-by-step explanation:
The formula to calculate the surface area of a square based pyramid =
2bs + b²
Where
b = Side length = 5cm
s = Slant height = 6cm
Surface Area = 2 × 5cm × 6cm + (5cm)²
= 60cm² + 25 cm²
= 85 cm²
Therefore, the surface area of the pyramid is 85 cm²
