The reciprocal is just when you flip the number that you're given. the reciprocal of 7/12 is 12/7
Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:

Hope that helped! =)
The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other. Let's solve for the length, using the formula to see how much the length changes from. p = 2l + 2w 35 = 2l + 2(15) 35 = 2l + 30 5 = 2l 2.5 = l We must increase the length from 2.5 feet. This is because decreasing one dimension will decrease the perimeter. But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
Short leg = ?
Long leg = 1/2x + 11
Hypotenuse = 2x + 1
For this you'd need to use the Pythagorean Theorem to find the short leg.
Pythagorean Theorem - a^2 + b^2 = c^2
The ratio would be 3:1
( the 6 triangles are blue, which I’m pretty sure they are.)
Since there are 18 yellows and 6 blues, and the question calls for the ratio of the yellows to the blues, the ratio is 18:6. But you always have to simplify. The GCF is 6, so you would divide both of them by 6. The ratio is then 3:1.