The nature of the roots can be determined by the determinant of the equation. The determinant is:
b² - 4ac
If this is positive, there are two roots
If this is 0, there is only one root
If this is negative, there are complex roots
Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN
Answer:
ok so u =?? 15 and 17= 2 but cant be cs they 2 4 6 8 10 12 14 16 not 15 or 17so 3
Step-by-step explanation:
The Carbon Dioxide in the atmosphere is only very small
relative to other gases. Typically, it only consists about 0.038 percent or
0.04 percent of the gases in the atmosphere.
<span>
Even though it is only small, CO2 is very important since it is one of the
greenhouse gases which ensures that the Earth stays warm.</span>
Answer:
H. 6x^2 + 7x + 49
Step-by-step explanation:
= 3x^2 + 14 - 7x + 6 + 29 + 3x^2 + 5x + 9x
Combine like terms
= 6x^2 + 7x + 49
