It would be 7x3 which would equal 21. Hope that helped!
Answer: 15.6 m
Step-by-step explanation:
Two legs of right angle in right triangle given are 12m and 10m.
For the third side use Pythagoras theorem:
C^2= a^2+b^2
C=√[(12^2)+(10^2)]
C=√[144+100]
C=√[244]= 15.6 m
Answer: -1 < x < 8
x = 3
x ≠ 2
<u>Step-by-step explanation:</u>
Isolate x in the middle. Perform operations to all 3 sides.
-6 < 2x - 4 < 12
<u>+4 </u> <u> +4</u> <u>+4 </u>
-2 < 2x < 16
<u>÷2 </u> <u>÷2 </u> <u> ÷2 </u>
-1 < x < 8
**************************************************************************
Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.
4x ≤ 12 and -7x ≤ 21
<u>÷4 </u> <u>÷4 </u> <u> ÷-7 </u> <u>÷-7 </u>
x ≤ 3 and x ≥ 3
Since it is an "and" statement, x is the intersection of both inequalities.
When is x ≤ 3 and ≥ 3? <em>when x = 3</em>
****************************************************************************
Isolate x. Solve each inequality separately.
15x > 30 or 18x < -36
<u>÷15 </u> <u> ÷15 </u> <u> ÷18 </u> <u>÷18 </u>
x > 2 or x < 2
Since it is an "or" statement, x is the union of both inequalities.
When we combine the inequalities, x is every value except 2.
x ≠ 2
Answer:
A = 35 square units
Step-by-step explanation:
Formula to calculate the distance between two points 
and 
is,
d = 
Length of the segment between A(2, 2) and B(9, 2) = 
= 7 units
Length of the segment between B(9, 2) and C(9, -3) = 
= 5 units
Length of the segment between C(9, -3) and D(2, -3) = 
= 7 units
Length of the segment between A(2, 2) and D(2, -3) = 
= 5 units
Therefore, given polygon is a rectangle.
Area of the rectangle = length × width
= 7 × 5
= 35 square units
