Answer:
a) 20 units
b) 2 √10 units
c) 2 √17 units
Step-by-step explanation:
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
a) D = √(-7-9)^2 + (-7-5)^2
D = √256 + 144
D = √400
D = 20
b) D = √(10-8)^2 + (9-2)^2
D = √(2)^2 + 6^2
D = √4 + 36)
D = √40
D = 2 √10 units
c) D = √(1 + 7)^2 + (-8+10)^2
D = √(64 + 4)
D = √68
D = 2 √17 units
Answer:
58 units squared
Step-by-step explanation:
We want to find the area of the square. To do so, we need to find the hypotenuse of the right triangle because this coincides with the side length of the square.
We use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:
a^2 + b^2 = c^2
Here, a = 7 and b = 3, so:
7^2 + 3^2 = c^2
c^2 = 49 + 9 = 58
Now, the area of a square is: A = s^2, where s is the side length. Well, c is the side length, and we've already found what c^2 is (it's 58), so that means the area of the square is 58 units squared.
Thus, the answer is 58 units squared.
Answer:

Step-by-step explanation:
The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).
Substitute these values into the formula.

Solve the numerators.

Convert the fractions to decimals.

The midpoint of the line segment is (1.5 , 2.5)
It gave you the input because it is telling you what x is
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