Start with <span>x^2 +14x = -24,
Find HALF the value of 14: 7
Square this: 49
Add 49, and then subtract 49: x^2 + 14x + 49 - 49 = -24 We have a
perfect square
Rewrite the quadratic as the sq. of a binomial: trinomial on
the left
(x+7)^2 = 25
Take the sqrt of both sides: x+7 = plus or minus 5
Then x = -2 and x = -12</span>
The <em><u>correct answer</u></em> is:
90° clockwise
Explanation:
Comparing the image points to the pre-image points, we can see that in every ordered pair, x and y have been switched and x has been negated. Algebraically, this means (x, y)→(y, -x).
This is the same mapping that a 90° clockwise rotation performs, so that is our answer.
Long sleeves hope this helps
Answer: 21 1/8 kilogram
Step-by-step explanation:
From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:
= 3 3/4 + 7 1/4 + 10 1/8
Note that the Lowest Common Multiple is 8.
= 3 6/8 + 7 2/8 + 10 1/8
= 20 9/8
= 21 1/8 kilogram