Answer:
10.29 u
Step-by-step explanation:
<u>Given :- </u>
- Two points (7,4) and (-2,9) is given to us.
And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,
D = √{(x2-x1)² + (y2-y1)²}
D =√[ (7+2)² +(9-4)²]
D =√[ 9² +5²]
D =√[ 81 +25]
D = 10.29
<h3>Hence the distance between the two points is 10.29 units .</h3>
Sophie has factored the term completely while Carlos has not factored the term completely.
Step-by-step explanation:
We need to factor the trinomial:

Factoring:

So, the factored form of
is 
So, Sophie has factored the term completely. The terms are factored when we cannot further simplify it. Since Carlos factored (x+3)(-4x+2) 2 can be taken common from the term (-4x+2) so, it is not factored completely.
Keywords: Factoring the terms
Learn more about Factoring the terms at:
#learnwithBrainly
The answer is 3 and 3.16227766017
Answer:

Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
<em>The question shows a direct proportion between cups of rice and cups of water.</em>
<em>So, the first step is to get the proportionality constant (k)</em>
<em />
This is calculated using the following expression;

Where k represents cups of water and p represents cups of rice
Make k the subject of formula

Let x represents cups of water when cups of rice becomes p + 2;
k becomes:

Equate both expressions of k; to give

Multiply both sides by p + 2




<em>Hence, the expression that represents the cups of water needed is </em>
<em></em>
C is irrational because there is no definite square root for 15 whereas the square root of 36=6