**Answer:**

**Step-by-step explanation:**

Hi there!

We are given the points (2, 7) and (-6, -2). We want to find the distance between them. To do that, we can use the distance formula

The distance formula is given as , where and are points

We have 2 points, which is what we need to find the distance, but let's label their values to avoid any confusion

Now substitute those values into the formula:

Simplify the values under the radical:

Raise to the second power:

Add the numbers under the radical together

The answer can be left as that, as the radical cannot be simplified.

Hope this helps!

hello :<span>

<span>an equation of the circle Center at the
A(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²

in this exercice : a =4 and b = -1 (Center at the origin)

r = AP.... P(0.1)

r² = (AP)²

r² = (4-0)² +(-1-1)² = 16+4=20

an equation of the circle that satisfies the stated conditions.

Center at A(4,-1), passing through P(0, 1) is : </span></span>(x-4)² +(y+1)² = 20

**Answer:**

B and E

**Step-by-step explanation:**

i took the test

**Answer:**

this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)

=>

using Heron theorem, we have:

with S is the area of the triangle

**Step-by-step explanation:**

**Answer:**

Taylor's conjecture is correct because the population of 2000 in the city was more compared to the population in 2010 in the same city. This is because the population in 2000 was 935,426 and it had 848 more people in that same city compared to in 2010. Therefore Taylor is right since 2000's population is 848 more than 2010's population...