Answer:
3/4
Step-by-step explanation:
We can use the slope formula when given two points
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(1 - -3)
= (5-2)/(1+3)
= 3/4
Answer:
Figure (i) and (iv)
Step-by-step explanation:
Given:
Optional figure is given in attached file.
We need to find two figures that are similar to the 5 by 10 figure.
All the given figure are
form.
Where m represent the number of rows and n represent the number of columns.
Solution:
Observe that in the given figure 5 by 10, the number of rows is 5 and number of columns is 10, that is, the number of columns is double of that the number of rows.
So we need to find two such figures whose number of columns is double of the number of rows.
From the given figures, figure (i) the number of rows is 2 and number of columns is 4, which is double of number of rows. so it is similar to 5 by 10 figure.
Similarly in figure (iv), the number of rows is 4 and number of columns is 8. so the number of columns is double the number of rows, so it is similar to the figure 5 by 10.
Therefore, the two figures that are similar to 5 by 10 figure are given in attached file such as (i) and (iv).
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 1, 6 ] and from the graph
f(b) = f(6) = 0
f(a) = f(- 1) = 0, thus
average rate of change =
=
= 0
Missing information
Take local speed ad 30 mph and express your answer in miles
Answer:
7.5 miles
Step-by-step explanation:
Time for lunch is 1 hour but once will wait for 30 minutes before served and eat.
Out of 1 hour, 30 mins is for service and eating to mean time to get from work to restaurant, to and fro is the other 30 mins
Since 30 mins is for to and fro, then one way direction takes 15 mins.
Speed, s=d/t and distance d=speed*time
Given local speed of 30 mph and time as 15 mins,
To convert minutes to hours, we divide it by 60 hence the distance is
30*15/60=7.5 miles
Therefore, the student can go to a restaurant that is 7.5 miles from the office.
Answer:
n= 4
Step-by-step explanation:
3 multiplied by n is 3n.
3 multiplied by -5 is -15.
so 3n-15= 7-2(n+1)
7-2(n+1) is -2 multiplied by n is -2n and -2 multiplied by 1 is -2.
3n-15=7-2n-2
then move the variables to one side and numbers to the one side.
3n+2n=15+7-2
*If you are moving across the equation the symbols change. Like negative to positive. Division to multiplication.
so 5n=22-2
5n=20
5 multiplied by 4 is 20 so n is going to be 4.
N=4