Option D: The distance between the two points is 13 units
Explanation:
It is given that the two points are 
and 
We need to determine the distance between the two points.
It is also given that the distance between the two points can be determined using the formula,
Substituting the points and for the coordinates 
and 
Thus, we get,
Simplifying, we have,
Adding the terms, we get,
Squaring the terms, we have,
Adding the terms, we get,
Simplifying and rounding off the value to the nearest tenth, we have,
Hence, the distance between the two points is 13 units.
Therefore, Option D is the correct answer.
Answer:
x = -3
Step-by-step explanation:
4x - 1 = -13
add 1 to each side
4x = -12
x = -3
Answer:
12
Step-by-step explanation:
We know that AD=BC and that AB=CD. We also know the perimeter of the rectangle ABCD to be 54 units.
From this, we can add up the sides which will be equal to 54 units.
AD+BC+AB+CD=54
2x+2x+3x-3+3x-3=54
10x=60
x=6
Since we are trying to find the length of side BC we substitute this value back into 2x.
BC=2x =2*6=12
Therefore, the length of BC is 12 units.
Answer:
306.
Step-by-step explanation:
Firstly, we are aware 100% of 680 is obviously 680,
Next, we know half of a 100% is 50% therefore half of 680 is 340.
Then, we know 45% is 5% less than 50%
To find 5% of a number mentally, divide it by 10 as 100÷5=20
680÷20=34
Lastly 50% subtracted by 5%: 340-34=306.
Now we know, 45% of 680 is 306.
<em>Hope this helps.</em>
<em>Hope this helps.Please mark BRAINLIEST.</em>
Answer:
27
Step-by-step explanation:
15x-31 = 9x+11
6x-31 = 11
6x = 42
x = 7
15x -31 + 9x + 11 + s = 180
15(7) -31 + 9(7) + 11 + s = 180
105 - 31 + 63 + 11 + s = 180
153 + s = 180
s = 27
