Answer:
<h3>
- 14</h3>
Step-by-step explanation:
{x - some integer}
2x - the first even integer
2x+2 - the second consecutive even integer
2x+4 - the third consecutive even integer (the largest)
2x + 2x+2 + 2x+4 - the sum of three consecutive even integers
2x + 2x+2 + 2x+4 = -48
6x + 6 = -48
÷3 ÷3
2x + 2 = -16
+2 +2
2x+4 = -14
Answer:
-2/5 -4/3 p and -4/3p+ (-2/5)
Answer:
a
Step-by-step explanation:
Solving the inequality
> 
+ 1
Multiply through by 12 ( the LCM of 6 and 4 ) to clear the fractions
2(x + 3) > 3x + 12
2x + 6 > 3x + 12 ( subtract 2x from both sides )
6 > x + 12 ( subtract 12 from both sides )
- 6 > x , that is
x < - 6
The only value less than - 6 is - 10
Thus x = - 10 is a solution to the inequality
An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.
It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2
A^2+5^2=10^2
A^2+25=100
A^2=75
A=sqrt(75)
A=5*sqrt(3)
Final answer:
The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66
Answer:
2
Step-by-step explanation:
you do PEMDAS so you do parentheeses first doing 2 x f or 2x2 whitch equals 4 then do s divided by 4 which is 8 divided by 4 which equals 2
