Answer:
check the attached picture
Step-by-step explanation:
Given function is 
.
Now we need to make a table of values for the function rule then graph the function.
We are free to plug any values of x like -3,-2,-1,0,1,2,3,... etc becaues domain of polynomial function is all real numbers.
Let's plug x=1 into given function to find the y-value
Hence the first point is (1,3).
Same way we can find few more points to complete the table then graph those points and connect them to get the final graph.
x y
-2 8
-1 5
0 4
1 5
2 8
32 quizzes. If you make a proportion of quiz/weeks it would be 16/4 = x/8. Multiply by 2.
Answer:
130° is the correct answer
∠QPR=80°
∠PQR+∠QPR+∠QRP=180°
∠PQR+∠QRP=100°
2(x+y)=100°
x+y=50°
So, in △QOR
x+y+∠QOR=180°
∴∠QOR=180°−50°
=130°
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
Learn more about Equations:
brainly.com/question/16450098
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Answer:
3 in
Step-by-step explanation:
Apparently, we are to assume that the height and width are proportional:
height/width = (6 in)/(8 in) = (new height)/(4 in)
Multiplying by 4 in will tell us the new height:
new height = (4 in)(6/8) = 3 in
The reduced frame will be 3 inches tall.
