Answer:
x=6 2/5
Step-by-step explanation:
I don't know how to explain other than doing the math of (x*5)/2=16
Answer:
x² + y² +10x -6y - 69 = 0
Step-by-step explanation:
We need to write the standard equation of circle with , centre (-5,3) and radius 10 unit . The Standard equation of the circle ⭕ is ,
=> ( x - (-5))² + (y -3)² = r²
=> ( x +5)² + (y-3)² = 10²
=> x² + 25 + 10x + y² +9-6y = 100
=> x² + y² +10x -6y + 31 = 100
=> x² + y² +10x -6y - 69 = 0
<h3>• Hence the equation of the circle is x² + y² +10x -6y - 69 = 0.</h3>
Answer:
Around 2397 Americans must be surveyed to get a margin of error of 2%.
Step-by-step explanation:
We are given the following in the question:
Proportion of US residents who thinks marijuana should be made legal = 48%

We have to construct a 95% confidence interval.
Margin of error = 2% = 0.02
Formula for margin of error =


Putting values, we get,

Thus, around 2397 Americans must be surveyed to get a margin of error of 2%.
In an isosceles triangle, there are two sides that are congruent.
In this case, AB and BC are congruent.
Knowing this, we know that AB = BC
Since we know the values of AB and BC, we can put them into the equation:
3x - 4 = 5x - 10
Subtract 3x from both sides:
-4 = 2x - 10
Add 10 to both sides to isolate 'x':
6 = 2x
Divide both sides by 2:
x = 3
Now that we know the value of the variable, we just have to input it into AB's equation:
3x - 4 = 3(3) - 4
3(3) - 4 = 9 - 4
9 - 4 = 5
<u>AB = 5</u>
Good luck!
Answer:
1) the quadrants go counter clockwise, Quadrant I is the upper right square, Quadrant II is the upper left square, Quadrant III is the lower left square, and Quadrant IV is the lower right square.
2) Quadrant II
3) Quadrant IV
4) Quadrant III
5) Quadrant I
6) Both would be on the horizontal axis
7) Both would be on the vertical axis
Step-by-step explanation:
Hope this helped!