n, n+1 - two consecutive integers
n(n + 1) = 50 <em>use distributive property</em>
n² + n = 50 <em>subtract 50 from both sides</em>
n² + n - 50 = 0
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ax² + bx + c =0
if b² - 4ac > 0 then we have two solutions:
[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a
if b² - 4ac = 0 then we have one solution -b/2a
if b² - 4ac < 0 then no real solution
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n² + n - 50 = 0
a = 1, b = 1, c = -50
b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions
√(b² - 4ac) = √(201) - it's the irrational number
Answer: There are no two consecutive integers whose product is 50.
If the perimeter of a square with an area of 25cm^2, then the answer is 20cm
Answer:
(44.25/75)*100 or (44.25/3)*4
Step-by-step explanation:
Divide by the price of $44.25 by 75 (100% - 25%) and mulitily by 100
or $44.25 by 3 and multyply by 4. (25% is a quarter 1/4, so you need 4/4)
Answer:
A) Neither
Step-by-step explanation:
If two lines have same slope then they are parallel lines
If slope of line1* slope of line 2 = -1
The the two lines are perpendicular
In this question slope of line = 2\7
Slope of line 2 = 7\2
Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
