Name the two given polynomials as
f(x) = 19x³ + 44x²y + 17
g(x) = y³ - 11xy² + 2x²y - 13x³
Create the subtraction f(x) - g(x).
f(x)-g(x) = 19x³ + 44x²y + 17 - (y³ - 11xy² + 2x²y - 13x³)
= (19 + 13)x³ + (44 - 2)x²y + 11xy² - y³ + 17
= 32x³ - y³ + 42x²y + 11xy² + 17
Answer: D
Note that answer D has a typo. 11xy² is correct, but 11x²y is not.
It is D
Descending order means that the first polynomial factor must the largest. You can tell that by looking at its degree, or the exponent. In this, 11 is the largest degree. the smallest degree is a constant, which is 4. That is why it is D.
26% is equal to
26/100
divide the numerator and denominator by 2
13/50= is your answer!
:)
The center of this triangle is created by intersection of altitudes of the triangle, so this point T is an orthocenter.
So, the answer is A.
Old Condition
Numerator = n = x
denominator = d = 2n + 3
New Condition
(x - 1) /(2x + 3 - 1) = 7 / 16
(x - 1) / (2x + 2) = 7 / 16
Cross multiply and solve
16*(x - 1) = 7 * (2x + 2) Remove the brackets.
16x - 16 = 14x + 14 Add 16 to both sides.
16x = 14x + 30 Subtract 14x from both sides.
2x = 30 Divide by 2
x = 15
You really should check this.
Original fraction
15/33
Now subtract 1 from the top and bottom.
14/32 Divide both by 2
7 / 16 which checks out perfectly
