The two equations are vertical angle, which would be equal to each other.
Set the equations to equal and solve for x:
5x -10 = 3x +40
Subtract 3x from both sides:
2x -10 = 40
Add 10 to both sides:
2x = 50
Divide both sides by 2:
x = 50 / 2
x = 25
The answer is B. 25
given a polynomial with factor (x - a)
Then x = a is a root of the polynomial and f(a) = 0
(1)
(x+ 2) is a factor , hence x = - 2 is a root
Evaluate the polynomial for x = - 2
f(- 2) = 5(- 2)³ + 8(- 2)² - 7(- 2) - 6 = - 40 + 32 + 14 - 6 = 0
Hence (x + 2 ) is a factor
(2)
If (x + 1) is a factor then x = - 1 is a root
5(- 1)³ + 8(-1)² - 7(- 1) - 6 = -5 + 8 + 7 - 6 = 4
Since f( - 1) ≠ 0
Then (x + 1) is not a factor
Answer:
x = 4(y + 6)/5
Step-by-step explanation:
2x - y = (3/4)x + 6
2x - (3/4)x = y + 6
(8x - 3x)/4 = y + 6
5x/4 = y + 6
5x = 4(y + 6)
5x = 4y + 24
x = (4y + 24)/5
Therefore, x = 4(y + 6)/5
Answer: d
Step-by-step explanation:
The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.
Checking through the options, only option D has a non-factor of 90 as its numerator.
Answer:
The formula to calculate the total surface area of a cylinder is given as, the total surface area of cylinder = 2πr(h + r), while the curved surface area of cylinder formula is, curved/lateral surface area of cylinder = 2πrh, where 'r' is the radius of the base and 'h' is the height of the cylinder.
Step-by-step explanation:
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