Answer:
step 1
Step-by-step explanation:
Answer is D
After dilation the image remain same but it is stretched or shrinked to the original size.
That means the ratio of the sides and the angles between the sides remain same .
Here we did dilation of ABCD which made it to EFGH.
Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.
the corresponding sides are : AB and EF
BC and FG
CD and GH
DA and HE
* Let us find ratio of the sides AB and BC
given that AB= 10 and BC= 14
AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )
* the raio of the corresponding sides EF and FG should be same ( 5/7)
in the option D EF= 25 and FG= 35
so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )
Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD
Well your c value is already there (6) as the standard equation for a line is
y = mx + c
To find the gradient (M) plot two points on the line.
Then label each co ordinate X1 and X2 and then Y1 and Y2
Then subtract your y1 from y2 and then x1 from x2.
For example :if your coordinates were (1,2) (3,4) you would do
4-2 and 3-1
These answers become your “changes” now do change in y / change in x
In terms of the Example you would do 2/2 which would be 1 and the M value would be 1
Hope that isn’t too confusing
Answer:
Continuous: Height, weight, annual income.
Discrete: Number of children, number of students in a class.
Continuous data (like height) can (in theory) be measured to any degree of accuracy. If you consider a value line, the values can be anywhere on the line. For statistical purposes this kind of data is often gathered in classes (example height in 5 cm classes).
Discrete data (like number of children) are parcelled out one by one. On the value line they occupy only certain points. Sometimes discrete values are grouped into classes, but less often.
Step-by-step explanation: