For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)
5 roach motels per square yd
A = L * W
A = 7 * 4
A = 21 square yds
so if they set out 5 roach motels per square yd, then they need to set out :
5 * 21 = 105 roach motels <==
To solve for the area of a triangle you use the formula A=b*h/2. The base for this triangle is 4 and the height is 8. Take 4*8 which is 32 and divide that answer in half to get 16 which is your answer.
Answer:
Square is a kind of kite.
Step-by-step explanation:
Consider the provided information.
Kite is a flat shape with two pairs of sides and each pair is made of two adjacent sides that are equal in length.
Square has four equal sides and four equal angles of 90°
Square is a kind of kite because it has two pairs of equal adjacent side.
Hence, square is a kind of kite.
9514 1404 393
Answer:
the correct choice (A) is marked
Step-by-step explanation:
The function g(x) is translated 3 right and 1 down from f(x).
The transformation ...
g(x) = f(x -h) +k . . . . . . translates h right and k up
For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...
g(x) = (x -3)² -1 . . . . matches choice A
