Answer:
The area is 31.5
Step-by-step explanation:
first you find the area of the rectangle (l x w) = 21
next you find the area of the triangle (b x h x 1/2) = 10.5
then you add the two areas together = 31.5
good luck with your khan academies :)
Answer:
25
Step-by-step explanation:
The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
Answer: C. 5
Step-by-step explanation:See the attached picture.
Add 4 to the whole equation
-10 + 4 < 2x < 8 + 4
Simplify
-6 < 2x < 12
Divide the whole equation by 2
-6/2 < x < 12/2
Simplify
<u>-3 < x < 6</u>