The point with the greatest distance to the origin is given by:
B. (-3, 3).
<h3>What is the distance between two points?</h3>
Suppose that we have two points,
and
. The distance between them is given by:

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:
D = sqrt(x² + y²).
Hence the distances for each point given in the problem are:
- A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
- B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
- C. Distance = sqrt((4)² + 0²) = sqrt(16).
- D. Distance = sqrt((2)² + 3²) = sqrt(13).
Hence option B has the greatest distance.
More can be learned about the distance between two points at brainly.com/question/18345417
#SPJ1
That is true because you are still dividing x by three either way
Answer:
x + 3 is a factor of the polynomial.
Step-by-step explanation:
We have been given that p(x) is a polynomial with integer coefficient.
Also p(-3)=0
Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.
Now, we apply factor theorem.
Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).
Applying this theorem, we can say that (x+3) must be a factor of the polynomial.
Hence, first statement must be true.
Answer:
option: D is correct. ( (D) a markup of 15% on selling price is equivalent to a 85% markup on cost ).
Step-by-step explanation:
" Markup is the percentage difference between a product's cost and its selling price "
Since we are asked to Convert a markup of 15% on selling price to its equivalent markup on cost.
As there is a markup of 15% on selling price. Hence the cost of the product would be (100-15)%=85% of the selling price.
<em>Hence, a markup of 15% on selling price is equivalent to a 85% markup on cost.</em>
<em>Hence, option D is true.</em>
Answer:
The number is 35.
35 divided by 7 is 5, and 5 plus 7 is 12.
:)