Answer:
x=1
Step-by-step explanation:
3^ (3x+1) = 81
Rewrite 81 as a power of 3
3^4
3^ (3x+1) = 3^4
Since the bases are the same, the powers are the same
3x+1 =4
Subtract 1 from each side
3x+1-1 =4-1
3x=3
Divide by 3
3x/3 = 3/3
x =1
Answer:
(-6,-3) would be the answer
t - 11
Set up the equation using some key words, 11 less than a number means that 11 is being subtracted from the number, which is t, a variable.
If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
The width of a rectangle is 13 units less than the length.
If the area is 90 square units.
W = L – 13
Then we have
90 = L(L – 13)
L² – 13L – 90 = 0
L² – 18L + 5L – 90 = 0
L(L – 18) + 5(L – 18) = 0
(L – 18)(L + 5) = 0
L = -5, 18
Then the width will be
W = 18 – 13
W = 5 units
Then the dimension of the rectangle will be 5 units and 18 units.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
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