Answer:
All answers are in degrees
quadrilateral->90
pentagon-> 72
octagon->45
decagon->36
30-gon ->12
50-gon->7.2
100-gon->3.6
Step-by-step explanation:
9514 1404 393
Answer:
h(0) = 10
h(4) = 16
Step-by-step explanation:
The second part of the function definition applies when x=0.
h(x) = 2x^2 -3x +10
h(0) = 0 + 0 + 10 = 10
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The third part of the function definition applies when x=4.
h(4) = 2^4 = 16
Answer:
The area of the speed-time graph gives us the distance travelled . In this case we drop a perpendicular from v=4 to t=2 . Hence, we get a rectangle and a triangle. Now we calculate the areas of the rectangle and the triangle. Rectangle = 2×4=8 m and triangle =1/2×(4–2)×4=4 m. Now to get the distance travelled we add the two up. Hence, distance travelled= (8+4)m =12 m.
Answer:
D) x=-3, y=-7
Step-by-step explanation:
9x - 7y = 22
x + 3y= -24
9x - 7y = 22
x= -24-3y
9(-24-3y)-7y=22
x= -24-3y
-216-27y-7y=22
x= -24-3y
-34y=22+216
x= -24-3y
-34y=238
x= -24-3y
y=238/(-34)
x=-24-3y
y=-7
x=-24-3*(-7)
y=-7
x=-24+21
y=-7
x=-3
(x,y)=(-3,-7)
Answer: the following system of equations has 2 solutions
x1=4
X2=-2
Step-by-step explanation:
5*x+4=x²+3*x-4
x²-2*x-8=0
x12=(2+/-√4+4*1*8)/2
x12=(2+/-√36)/2
x1=(2+6)/2=4
x2=(2-6)/2=-2
