30-[(9x2)-(3x4)]
30-[18-(3x4)]
30-(18-12)
30-6
24
Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Answer:
384 centimeters squared.
Step-by-step explanation:
96/(6+8+10)
96/24 = 4
6×4 : 8×4 : 10×4
24:32:40
The length of its sides are in the ratio of 24:32:40
The longest side is the hypotenuse which is 40.
The area is base × height × 1/2 of a triangle.
32 × 24 × 1/2
768 × 1/2
=384
The area of the triangle is 384 cm squared.
Answer: C
Step-by-step explanation: Consider a triangle with points A, B and C. You must create a perpendicular bisector of AB and then a perpendicular bisector of BC that crosses each other. Then you must label the center of that point D, and then using a compass tool, create a circle around the triangle.
Answer: 381.7
Step by step explanation:
