The five essential hypothesizes of Geometry, additionally alluded to as Euclid's proposes are the accompanying:
1.) A straight line section can be drawn joining any two focuses.
2.) Any straight line portion can be expanded uncertainly in a straight line.
3.) Given any straight line fragment, a circle can be drawn having the portion as a span and one endpoint as the inside.
4.) All correct points are harmonious.
5.) If two lines are drawn which meet a third such that the total of the internal points on one side is under two right edges (or 180 degrees), then the two lines unavoidably should converge each other on that side if reached out sufficiently far.
Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A. 
B. 
C. 
D. 
Answer:
B.
Step-by-step explanation:
Given
Equation 1:
Equation 2:
Required:
Equivalent of equation 2
To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2
Open the bracket
Simplify fraction
Divide through by 2
Re-arrange
The next step is to compare each of option A through D with
A.
is not equal to
We check the next available option
B.
is equal to
This option is equivalent to the second equation in slope-intercept form.
We check further if there are more equivalent options
C.
Convert fraction to decimal
This is not equal to
D.
Convert fraction to decimal
This is not equal to
Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B
Answer:
- 3.28 should be plotted between 3.2 and 3.4
- 3.28 is closer to 3.0 than 4.0.
- 3.28 is closer to 3.2 than 3.4.
Step-by-step explanation:
3.28 is located towards the positive side of the number line being a positive value. Since the value is located between 3.2 and 3.4, therefore it can be plotted between this two points.
Also 3.28 is known to be closer to 3.0 than 4.0 because the difference between 3.28 and 3.0 is lower than the difference between 3.28 and 4.
4-3.28 = 0.72(larger value)
3.28-3.0 = 0.28 (smaller value)
The smaller the difference, the closer the value of 3.28 to the value in consideration.
Similarly, 3.28 is closer to 3.2 than 3.4, due to their differences. The difference between 3.28 and 3.2 is lower than the difference between 3.28 and 3.4 as shown:
3.28 - 3.2 = 0.08(smaller)
3.4-3.28 = 0.12(larger)
Take 8 times 7% and then take 8 time 15% add those numbers too $8 and you will find your answer. 7% = 7/100 and 15% = 15/100
-5 -(-1) = -5+1= -4
and
-9 -(-5) = -9+5 = -4
we observe that the number are in AP
of the AP -
ist term = -1
common difference = -4
19th term = -1 + (19-1)(-4)= -1 -72 = -73
_________________________
the correct answer = B
