Answer:
26
Step-by-step explanation:
Let x be the first even integer
x+2 is the second even integer
x+4 is the third even integer
The sum of three consecutive even integers is 84
x+ (x+2) + (x+4) =84
Combine like terms
3x +6 = 84
Subtract 6 from each side
3x+6-6 =84-6
3x =78
Divide each side by 3
3x/3 = 78/3
x =26
The three integers are 26, 28,30
The smallest is 26
Answer:
x = 16 2/3
Step-by-step explanation:
The altitude divides the triangle into similar triangles. We can form the ratio between the hypotenuse and the short leg for two of the triangles. Those ratios will be a proportion:
10/6 = ((x-6) +6)/10
100/6 = x . . . . . multiply by 10 and simplify
x = 16 2/3
Answer:
the answer is 1
Step-by-step explanation:
anything to the 0th power is 1
Answer:
Step-by-step explanation:
![(a*b)^{n} = a^{n}*b^{n}\\\\(a^{n})^{m} = a^{m*n}\\\\ (-5q^{2}*p)^{3}= (-5)^{3}*q^{2*3}*p^{3}\\\\= -125q^{6}p^{3}](https://tex.z-dn.net/?f=%28a%2Ab%29%5E%7Bn%7D%20%3D%20a%5E%7Bn%7D%2Ab%5E%7Bn%7D%5C%5C%5C%5C%28a%5E%7Bn%7D%29%5E%7Bm%7D%20%3D%20a%5E%7Bm%2An%7D%5C%5C%5C%5C%20%28-5q%5E%7B2%7D%2Ap%29%5E%7B3%7D%3D%20%28-5%29%5E%7B3%7D%2Aq%5E%7B2%2A3%7D%2Ap%5E%7B3%7D%5C%5C%5C%5C%3D%20-125q%5E%7B6%7Dp%5E%7B3%7D)