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
The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
<h3>What is inverse of a function?</h3>
Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
Learn more about inverse function here:
brainly.com/question/19425567
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Answer:
The twentieth term is 50.
Step-by-step explanation:
The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:
a1 = 3*1 - 10
a1 = -7
Therefore to find the twentieth term we need to make n equal to 20. This is done below:
a20 = 3*20 - 10
a20 = 60 - 10
a20 = 50
The twentieth term is 50.
Answer:
7.5
*
10
^-
4
Step-by-step explanation:
