Answer:
D'G' = 52.5 units
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5
D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )
G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )
Calculate D'G' using the distance formula
d = 
with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)
D'G' = 
= 
= 
= 
= 52.5 units
Answer:
1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻
Step-by-step explanation:
1. Let b be the number and B be the set, so mathematically, it is written as
b ∈ B.
2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write
∀ a ∈ N; 2a ∈ Z
3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.
Since each set is a subset of the latter set, we write
N ⊂ Z ⊂ Q ⊂ R .
4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write
J ≤ J⁻¹ : J ∈ Z⁻
The answer is 64. Hope it helps you
I don’t understand how you worded the question but x=-4 if thats what you are looking for
To find out what 1 and 3/4 times 2 is, we need to find out a way to make it much more simple and then answer it.
A quick way to answer this in a few steps is to:
1.) convert the fraction into decimal.
To do this, we need to divide 100 by our denominator (the number on the bottom of a fraction). Let's try it.
100 / 4 = 25.
For every 1/4, it adds 25.
Since we have 3/4, multiply 3 by 25.
You get 75, but it is not whole.
2.) Put your quotient into decimal form by putting it as 0.## (if we divided 100 by a smaller number).
Your number for 3/4 is 0.75.
Since we have a whole number (1), put it in the single-digit place.
(#.00)
1.75 is your fraction into decimal form.
Now, we need to multiply 1.75 by 2.00.
2.00 x 1.75 = 3.5
Your product is 3.5.
I hope this helps!
