1. 3h+11
2. -2r
3. g-4
4. 5f+4
5. 15z
Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 6 = 6x + 9 ( subtract 6x from both sides )
3x - 6 = 9 ( add 6 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Thus
MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39
Answer:
x = 3 and y = 2
Step-by-step explanation:
y = 3x - 7
substituting for y in 4x + 3y = 18, we will have
4x + 3(3x -7) = 18
4x + 9x - 21 = 18
13x = 18 + 21
13x = 39
x = 3
Substituting for x in y = 3x -7, we have
y = 3(3) - 7
y = 9 - 7
y = 2
T(z)=z-6⇒ T(-4)= -4-6=-10
The answer is -10
convert to exponential form
8^x=512=8^3
x=3
The logarithm of 512 to the base 8=3