Step-by-step explanation:
mL = Undefined
mM = ?
mL × mM = -1
mM = -1 ÷ mL
mM = -1/mL
mM = -1/Undefined
mM = -1/(1/0)
mM = (-1 × 0)/1
mM = 0
Slope of line m is 0
Option → C
Answer:
Step-by-step explanation:
x intercepts are -3,-1
f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3
or f(x)=-(x+2)²+1
vertex is (-2,1)
so it is an inverted parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)
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Answer:
c)The proof writer mentally assumed the conclusion. He wrote "suppose n is an arbitrary integer", but was really thinking "suppose n is an arbitrary integer, and suppose that for this n, there exists an integer k that satisfies n < k < n+2." Under those assumptions, it follows indeed that k must be n + 1, which justifies the word "therefore": but of course assuming the conclusion destroyed the validity of the proof.
Step-by-step explanation:
when we claim something as a hypothesis we can only conclude with therefore at the end of the proof. so assuming the conclusion nulify the proof from the beginning
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
