Answer:
assume the formula is true for n is equal to k prove that result is true for n is equal to k + 1 hence result proves since the thorum is true for n is equal to 1 and n k + 1 is unit through a and
Please send a picture of the figure
Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
Original shape will contract when scale factor is less than 1 , expand when scale factor is greater than 1 and it doesn't change when scale factor is 1
A scale factor is a number that can be used to change the size of any geometrical figure or shape in relation to its original size. It is the ratio of the sizes of the original and dilated figures.
It is denoted by "k"
The magnitude of the scale factor is taken into account, and it cannot be zero. The scale factor has the ability to either increase or decrease the size of an object.
The basic formula for calculating the scale factor of a dilated figure is as follows:
Scale = dimension of preimage / dimension of image
According to the question,
(a) If scale factor is less than 1 , k < 1 then the original shape will contract means It's size will decrease
(b) If scale factor is greater than 1 , then image will enlarge and it would expand
(c) If scale factor is equal to 1 , then No change in shape nor in size
To know more about Scale factor here
brainly.com/question/22312172
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