Answer:
Option 3) 24 is right.
Step-by-step explanation:
Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm
Also MO is the angle bisector of angle M.
By applying angle bisector theorem for triangles we get
LM/MN = LO/NO
i.e. x/12 = 14/7
Simplify to get x = 24
Hence option 3 is right
Verify:
Check whether angle bisector theorem is true.
The proportion LM/MN =24/12 = 2
The proportion LO/NO =14/7 =2
Both are equal and hence verified
Answer: 20+x
Step-by-step explanation:
Let's petend that x=20
when we add that it us 40 so that means that martha has 40 oreos
this was answer by an unknowed sic grader
It is negatively skewed to the right
Suppose that equation of parabola is
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
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Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
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I hope this is what you wanted.
Regards,
Divyanka♪
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-7x^2 - 6x^2 + 3x + 5x - 5 + 2
-13x^2 + 8x - 3
