Answer/Step-by-step explanation:
4x - 7 = -2x + 12 (Given)
Add 2x to both sides
4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)
6x - 7 = 12 (Simplication)
Add 7 to both sides
6x - 7 + 7 = 12 + 7 (Addition property of equality)
6x = 19 (Simplification)
Divide both sides by 6
(Division property of equality)
The exact answer is 31.25%, or about 31%
Answer:
Line b and c
Step-by-step explanation:
The first thing to do is to set this equal to zero, then move the constant over to the other side of the equals sign so we only have the x terms to worry about.
. Now we're ready to complete the square. We take half the linear term, square it, and add it in to both sides. Our linear term is -6x. Half of 6 is 3, and 3 squared is 9, so we add 9 to both sides:
. Now we will do the math on the right to get 4, and on the left we will express the perfect square binomial we created while completing this process.
. Now we can move the constant back over by subtraction to get
. Now we can see that the vertex is (3, -4). Since this is a positive parabola, it opens upwards, like a cup, which means that the lowest part of the parabola, the vertex, is sitting at the bottom, or at a minimum value. So our answer is C
Answer:
<h2>500 cm</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question we have
We have the final answer as
<h3>500 cm</h3>
Hope this helps you
