Hope this helps. :)
Answer:
Find a common denominator on the right side of the equation
Step-by-step explanation:
I was taking the test and couldn't find the answer to this question anywhere so let me help you out...
abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.
(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)
Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;
ax²+bx+c = 0
Step 1: Subtract c from both sides
ax²+bx+c-c = 0-c
ax²+bx = -c
Step 2: Divide both sides of the equation by a
ax²/a + bx/a = -c/a
x² + bx/a = -c/a
Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides
x² + bx/a + (b/2a)² = -c/a + (b/2a)²
Step 4: Square the quantity b/2a on the right side of the equation
x² + bx/a + (b/2a)² = -c/a + b²/4a²
Step 5: Find a common denominator on the right side of the equation which is 4a²
x² + bx/a + (b/2a)² = -4ac/4a² + b²/4a²
Step 6: Add the fractions together on the right side of the equation
x² + bx/a + (b/2a)² = (-4ac+ b²)/4a²
Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.
Step 7: The equation on the left is to be written as a perfect square as shown
(x+b/2a)² = (-4ac+ b²)/4a²
Step 8: Take the square root of both sides
√(x+b/2a)² = √ (-4ac+ b²)/4a²
(x+b/2a) = √(-4ac+ b²)/2a
Step 9: subtract b/2a from both sides
x+b/2a - b/2a = -b/2a + √(-4ac+ b²)/2a
x = -b/2a + √(-4ac+ b²)/2a
Step 10: Add the fractions together on the right-hand side
x = -b±√(-4ac+ b²)/2a
This gives the required equation
Answer: A Find a common denominator on the right side of the equation
Step-by-step explanation: Took the test of FLVS
Answer:
The answers are:
Volume: 75 cubic centimeters
Mass: 645 grams
Step-by-step explanation:
In order to determine both volume and mass of the doorstop, we have to know the formulas of a triangular prism.
I have attached an image that shows some formulas about triangular prism.
As we see in the image, a triangular prism consists basically in a triangular face and its projection.
So, using the variables and formula of the image:
B=10 cm
H=6 cm
L=2.5 cm
Then, we know the density of the metal that is:
δ=
So, the mass of the doorstop is:
m=δ*V
m=8.6 * 75
m=645 gr
Finally, the volume is 75 and the mass 645 gr
7g - 12 = 3 + 7/3g
How many blocks will Colin run by the end of the sixth week?
A.
Use objects to model the problem.
Put out 1 chip to represent the blocks run in week one. Put out twice that amount for week two. Put out twice that amount (from week two) for week three. Do this 3 more times, putting out twice the amount from the previous week each time.
B.
Make a table.
In the first row, write first week - 2 blocks. In the next row, write second week - 4 blocks. In the third row, write third week -6 blocks. Continue this pattern for three more rows.
C.
Write a number sentence.
(1 + 2) × 6 = x
Add the number of blocks run in the first and 2nd week. Then multiply the sum by the number of weeks (6).