Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
The formula of a slope:

Q1.
We have the equation of a line <em>p </em>in the standard form

Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>
<em>divide both sides by (-3)</em>

The slope 
From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:

Divide the slope of <em>p</em> by the slope of <em>q</em>:

Q2.
Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

Q3.
Parallel line have the same slope.
Calculate the slope from given points (-11, 5) and (-6, 1):

Answer with explanation:
A regular polygon is simple closed geometrical shape, only made up of line segments.
And Regular Tessellation, is geometrical shape, made up of regular polygons having, 3 ,or 4 or 6 sides.
It is combination of, only single kind of polygon,either, polygon having 3 sides, or ,4 sides or 6 sides.
→Regular polygon having 3 sides is Called Equilateral Triangle.
→Regular polygon having 4 sides is Called Square.
→Regular polygon having 6 sides is Called Regular Hexagon.
⇒Regular polygon having , 8 sides will not form a regular tessellation.
Option D
Answer:
D
Step-by-step explanation:
If y = log x is the basic function, let's see the transformation rule(s):
Then,
1. y = log (x-a) is the original shifted a units to the right.
2. y = log x + b is the original shifted b units up
Hence, from the equation, we can say that this graph is:
** 2 units shifted right (with respect to original), and
** 10 units shifted up (with respect to original)
<u><em>only, left or right shift affects vertical asymptotes.</em></u>
Since, the graph of y = log x has x = 0 as the vertical asymptote and the transformed graph is shifted 2 units right (to x = 2), x = 2 is the new vertical asymptote.
Answer choice D is right.
Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9
to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9
= 
= 
= 
2) Now we need to convert
into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = 
Plugging the values of Distance and Time taken into the formula, we get
Speed = 
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
I believe the answer is 120. 3 5/6 turns into 3.833 when turned into a decimal. 3.833 would round up to 4 which is the nearest whole number. 34 3/7 would turn into 34.4285 as a decimal which turns into 30 when rounded to the nearest ten.