<span>(x+4)(x+1) = m+2x
x² + 5x + 4 − m − 2x = 0
x² + 3x + (4−m) = 0
Quadratic equation has exactly one real solution
when discriminant = 0
b² − 4ac = 0
3² − 4(1)(4−m) = 0
9 − 16 + 4m = 0
−7 + 4m = 0
4m = 7
m = 7/4
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Second problem:
Line y = 3 intersects graph of y = 4x² + x − 1 at point A and B
y-coordinates of points A and B = 3, since they are both on line y = 3. We need to find x-coordinates
4x² + x − 1 = 3
4x² + x − 4 = 0
x = (−1 ± √(1−4(4)(−4))) / 8
x = (−1±√65) / 8
AB = (−1+√65)/8 − (−1−√65)/8 = 2√65/8 = √65/4 = √(65/16)
m−n = 49</span>
I have take the answer from internet, I hope it help
It is 42 7 * 6 = 42
it is right
Given:
The polygon in the given figure are similar.
To find:
The missing side length.
Solution:
We know that the corresponding sides of similar figures are proportional.
The given polygons are similar, so the their corresponding sides are proportional.
So, the missing values in the equation of proportion are 15, 40, 32 respectively.
On solving the above equation, we get
Therefore, the value of x is 12.
Answer:
32.55
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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