Answer:
Given the equations:
.....[1]
....[2]
Substitute the value of x in [1] we get;'
Use identity:
Combine like terms;
Subtract 36 from both sides we get;
By zero product property, we get;
y = 0 and
Substitute these y values in [2] to get x values;
For y = 0 we have;
x = 2(0) +6 = 0+6 = 6
For x = -4.8
x = 2(-4.8)+6 = -9.6 + 6 = -3.6
Therefore, the solution for the given equations are; (6, 0) and (-3.6, -4.8)
Answer:
82
Step-by-step explanation:
We are given that a graph which shows the number of beads used for varying cord lengths.
The graph
We have to find the number of beads that she can used for cord length 32 in.
Substitute the value x=32
Then, we get
After round to unit place then, we get
y=82
Hence, the best estimate she can used for number of beads =82
Answer: 82
The choices b and c are equivalent to .
Step-by-step explanation:
Step 1:
First, we need to bring the fraction to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.
The greatest factor for 4 and 6 is 2. So we divide it by 2.
So .
Step 2:
Similarly, we need to do the same for all the given four options.
a. , the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.
So .
b. , the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.
So .
For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.
Step 3:
So options b and c are equal to the simplification of i.e.
.
