Answer:
D)-3x+5
Step-by-step explanation:
Hope this helps ;)
Answer:
D
Step-by-step explanation:
In Maths, axioms are basically set of propositions from which we can derive true statements from logic. Then these statements are known as theorems.
Hence, defining theorem in an axiomatic way means that a statements that we derive from axioms (propositions) using logic and that is proven to be true.
From the answer choices, we see D goes with this, hence D is the correct answer.
Answer:
3 * (x + 7)
Step-by-step explanation:
Mark number as x
Then the sum of a number and seven is x + 7
Three times x + 7 can be written as
3 * (x + 7)
Parentheses mean that we first add x and 7 and then multiply their sum by 3
Alternatively you can write it as 3x + 21, since
3 * (x + 7) = 3 * x + 3 * 7 = 3x + 21
Answer:
Option C.
The distance from the point to the circle is 6 units
Step-by-step explanation:
we know that
The distance between the circle and the point will be the difference of the distance of the point from the center of circle and the radius of the circle
step 1
Find the center and radius of the circle
we have

Convert to radius center form
Complete the square

Rewrite as perfect squares

so
The center is the point (0,4)
The radius is

step 2
Find the distance of the point from the center of circle
the formula to calculate the distance between two points is equal to

we have
(6,-4) and (0,4)
substitute the values




step 3
Find the difference of the distance of the point from the center of circle and the radius of the circle

therefore
The distance from the point to the circle is 6 units
see the attached figure to better understand the problem