Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
Answer:
20, 35, 50
Step-by-step explanation:
<span>The correct answer is 11 ft.
Explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.
Subtract x from each side:
x+4-x=2x-7-x
4=x-7.
Add 7 to both sides:
4+7=x-7+7
11=x</span>
One of the product rules for exponents was used.

Or, you can consider that the definition of an exponent and the associative and commutative properties of multiplication were used.
Answer:
2) x = 6 y = 7 3) x = -5 y= 2
Step-by-step explanation:
2) 10x - 8y = 4
2(-5x + 3y = -9)
-10x + 6y = -18
10x - 8y = 4 Add both equations together
-2y = -14
y = 7 Divide both sides by -2
10(x) - 8(7) = 4 Plug in 7 for the y to solve for x
10x - 56 = 4
+ 56 + 56 Add 56 to both sides
10x = 60
x = 6 Divide both sides by 10
3) Where the two lines intersect, that is the solution to x and y.
The lines intersect at (-5,2). x = -5 y = 2