X^2 +14x+45 = 0 -45 -45
So x^2+14x = -45 so x is -5
Answer: I am pretty sure its C i hope this helps :D
Step-by-step explanation:
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³
since a year has 12 months, then 3 years will be 36 months, now, 3 years and 9 months is just 36 + 9 = 45 months. So we can say that 3 years and 9 months is really 45/12 of a year.
![~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$800\\ r=rate\to 2.65\%\to \frac{2.65}{100}\dotfill &0.0265\\ t=years\to \frac{45}{12}\dotfill &\frac{15}{4} \end{cases} \\\\\\ A=800[1+(0.0265)(\frac{15}{4})]\implies A=800(1+0.099375) \\\\\\ A=800(1.099375)\implies A=879.5](https://tex.z-dn.net/?f=~~~~~~%20%5Ctextit%7BSimple%20Interest%20Earned%20Amount%7D%20%5C%5C%5C%5C%20A%3DP%281%2Brt%29%5Cqquad%20%5Cbegin%7Bcases%7D%20A%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%20%5C%24800%5C%5C%20r%3Drate%5Cto%202.65%5C%25%5Cto%20%5Cfrac%7B2.65%7D%7B100%7D%5Cdotfill%20%260.0265%5C%5C%20t%3Dyears%5Cto%20%5Cfrac%7B45%7D%7B12%7D%5Cdotfill%20%26%5Cfrac%7B15%7D%7B4%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20A%3D800%5B1%2B%280.0265%29%28%5Cfrac%7B15%7D%7B4%7D%29%5D%5Cimplies%20A%3D800%281%2B0.099375%29%20%5C%5C%5C%5C%5C%5C%20A%3D800%281.099375%29%5Cimplies%20A%3D879.5)
Answer:
this ange is congruent to the one above so you would just subtract 180 from 116
180-116
= 64