Answer:
#5
Area = Area of bigger triangle - Area of small triangle
#8
Area = area of square + area of two right angled triangles
The location of the vertex tells you the horizontal and vertical shift. (The parent function f(x) = x² has its vertex at the origin, (0, 0). The vertical distance of the point 1 unit left or right of the vertex in relation to the vertex tells you the vertical scale factor (stretch).
g(x) = f(x +3) -3
horizontal shift left 3
vertical shift down 3
h(x) = -3f(x)
reflection across the x-axis
vertical stretch of 3
d(x) = f(x -3) -3
horizontal shift right 3
vertical shift down 3
I don't know what this question is asking exactly, but if i am right, it is asking for the ratio of heads flipped to tails flipped. If this is correct, then the ratio would be 24 to 8. My reasoning for this is, it already tells you that you have 8 times that tails was flipped, and all you have to do to figure out the amount of times heads if flipped it to subtract: 32-8=24, so that means that heads was flipped a total of 24 times. The last thing that you have to do is to put it into a ratio, and in the order it gives you initially, which would make the answer (3 ways):
1) 24 to 8
2) 24 : 8
3) 24/8
I hope this helps you.
Answer:
b. DAC≅DBC
Step-by-step explanation:
∠DCB≅∠DCA=90° as they are right angles at the perpendicular lines
DC=DC reflexive property(they are the same line)
AC=CB they are both the radius of the same circle
DAC≅DBC due to SAS(Side angle Side)
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
