Answer:
(5, 15)
Step-by-step explanation:
-x + 6x = 5
5x = 5
x = 5
y = 3 (5)
y = 15
You can substitute 6x for 2y because it says y = 3x. So 2y is gonna be 6x because you have to multiply it by 2 since it's 2y not just y.
Answer:
Yes it is!
Step-by-step explanation:
If you want to know whether it is, use the pytheoream theory. a2+b2=c2
a is the shortest side, b is the second longest and c is the longest.
In this case, the equation will be:
8 sq + 15 sq = 17 sq
64 + 225 = 289
= It is a right-angled triangle!
Answer:
C, none of them are equivalent
BECAUSE
For A, the -4q should be positive 4q to apply
For B, the 2q when distributing with the parentheses should be negative 2q to work with the expression above
Hope this helps!
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
