Select the correct answer.

What is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)

kotegsom [21]

Answer:

The distance between the points is approximately 6.4

Step-by-step explanation:

The given coordinates of the points are;

(2, -2), and (6, 3)

The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

$l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2) \right )^{2}+\left (6-2 \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}$

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

4 0

2 years ago

An Equilateral Triangle has sides that all measure 10 inches. What is

densk [106]

Answer:

easy peasy lemon squeasy

Step-by-step explanation:

1. base of triangle: it is an equilateral triangle, so any side of the triangle you take is the base, (usually the largest side of the triangle is the base)

so that would be => 10 inches,

2. a property of an equilateral triangle is that , the median of the triangle coincides with the height of the triangle,

therefore, the height bisects the base and makes a right triangle with another side, therefore by using the Pythagoras theorem, we find it to be 8.66(approx)

now,

area of the triangle would be (putting the values we just found in the formula given)

=> [(10)(8.66)]/ 2

=>43.3 square inches

4 0

3 years ago

On Friday,65% of the students at Plainview Middle School bought a hot lunch and the rest of the students packed their lunch. Wha

oksano4ka [1.4K]

35% packed their lunch. 65/100 bought hot lunch. 100-65=35.

7 0

3 years ago

Find the percent of change: 100 acres to 140 acres

nydimaria [60]

Answer: 40%

Step-by-step explanation: First determine whether the number increases or decreases. Since the number changes from 100 to 140 it's getting bigger, so it increases.

To find the percent increase, we use the following formula.

The amount of change is the difference between the two numbers which is 40 and we get this by subtracting 100 from 140. The original number will be the number that we started with which is 100.

140/100 simplifies to 0<em>.</em>4.

Finally, we want the percent increase so we write 0<em>.</em>4 as a percent by moving the decimal point 2 places to the right to get 40%.

Therefore, the percent increase is 40%.