J(-3,7) and k(4,-2) are endpoints of a like segment. Find the coordinates of the midpoint M.

A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all

rodikova [14]

Answer:

3 feet

Step-by-step explanation:

Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...

A = (20 +2x)(50 +2x) = 1000 +140x +4x^2

The area of the pool alone is

A = (20)(50) = 1000

So, the area of the deck is the difference:

456 = (4x^2 +140x +1000) -(1000)

Dividing by 4 and subtracting 114, we have ...

x^2 +35x -114 = 0

(x -3)(x +38) = 0

Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.

The deck is 3 feet wide.

4 0

2 years ago

This is a value next to a variable what is it called

Mama L [17]

Answer:

coefficient

Step-by-step explanation:

8 0

3 years ago

Choose all of the transformations that would change a triangle into one that is similar, but not congruent. Which transformation

Vsevolod [243]

You didn't supply a list. The so-called rigid transformations of translation, rotation and reflection create congruent triangles.

Generally it's dilation by a factor about a point is preserves similarity but not congruency. Any transformation which includes such scalings but is otherwise rigid also preserves similarity but not congruency.

8 0

3 years ago

The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)