Answer:
2/9
Step-by-step explanation:
y=6(3)^x
Let x =-3
y = 6 * 3^-3
Remember negative exponents move it from the numerator to the denominator
y = 6 *1/3^3
y = 6 * 1/27
y = 6/27
y = 2/9
<span>To minimize the perimeter you should always have a square.
sqrt(289) = 17
The dimensions should be 17 X 17
To see , try starting at length 1, and gradually increase the length.
The height decreases at a faster rate than the length increases, up until you reach a square.
Or if you want to use algebra, Say the width is 17-x
Then the length is 289/(17-x)
Now, this is bigger than 17+x, as shown here:
289/(17-x) > 17+x
289 > 289 - x^2
which is true.
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17
Again, the dimensions should be a square. 17 X 17.</span>
X/x-2 >= 0 equals x/x >= 0+2 simplified x >=2
Answer:
84 sq. inches
Step-by-step explanation:
When you section off each, you can find the area of each shape and add together to make composite.
Triangle on left is 6 sq. inches
Rectangle on right (5x10) is 50 sq. inches
Rectangle on bottom (7x4) is 28 sq. inches
Answer:
6
Step-by-step explanation:
The hypotenuse will always be equal to "c." You can put "a" or "b" as 8. This gives us a^2 + 8^2 = 10^2 which simplifies to a^2 + 64 = 100. From there, you simplify (subtract 64, giving you a^2 = 36, and then take the square root of a^2 & 36 to get a = 6 (because 6*6 = 36))