Answer:
576 Units
Step-by-step explanation:
The way your teacher wants you to do it:
1. We know that multiplying a length by four gives us the perimeter of a square.
1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16
1b. We know the perimeter is 96. So: 40x+16=96
2. Solving for x, we get x=2
3. Plugging our solved x into the given length (10x+4), we see that the length of a side of the square is 10*2+4=24.
4. We know that the area of a square can be found by squaring the side of a square.
4a. 24*24=576.
5. The area is 576 units.
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Easier Solution:
1. We know that the perimeter is length*4.
2. We set L to length.
2a. 4L=96
2b. L=24
3. We know that the length square is area.
4. 24*24=576.
The value of all of The quarters and dimes in the parking meter is $18 there are twice as many quarters and dimes what is the total of dimes in the parking meter?
Answer:
No solution
Infinitely many solutions
One solution
Step-by-step explanation:
The first expression:
-2(3x - 1) = -6x -1
Expand the parentheses;
-6x + 2 = -6x -1
-6x + (-6x) = -1 -2
0 = -3
This problem has no solutions
Second expression:
2(3x-1) = 6x -2
Expand the parentheses;
6x - 2 = 6x -2
6x -6x = -2 + 2
0 = 0
This problem has infinitely many solutions
Third expression:
2(3x - 1) = -6x -2
Expand the parentheses;
6x -2 = -6x - 2
6x + 6x = -2 + 2
12x = 0
x = 0
This equation has only one solution
9514 1404 393
Answer:
y = 2(x -2)^2 +1
Step-by-step explanation:
Start by factoring the leading coefficient from the x-terms.
y = 2(x^2 -4x) +9
Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)
y = 2(x^2 -4x +4) +9 -2(4)
Put in the desired form.
y = 2(x -2)^2 +1
This matches vertex form ...
y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)