The answers are :
13) 9
14) 200
15) -10
16) -300
17) -276
18) -66
The slope of y= 1/2x-7 is always positive because since the slope of this equation is “1/2”, 1/2 is always positive.
Answer:
<h2>1/4</h2>
Step-by-step explanation:
Area of a circle is given as πr² and its circumference is expressed as 2πr.
If the babylonians determined the area of a circle by taking it as equal to the square of the circle’s circumference then;
Area of circle = (circumference of a circle)²
πr² = (2πr)²
πr² = 4π²r²
Dividing both sides of the equation by πr² we have;
The value of π this yields is 1/4
Answer:
x = 12z + 1 and y = 10z - 1
Step-by-step explanation:
To solve the system of equations, we can use the substitution method
If we call
3x - 4y + 4z = 7 I
x - y - 2z = 2 II
2x - 3y + 6z = 5 III
Clearing II x = 2 + y + 2z
Now, replacing II in III
2(2 + y + 2z) - 3y +6z = 5
4 + 2y + 4z - 3y + 6z = 5
10z - y = 1 from here y = 10z - 1
Finally, replacing y in I
3x - 4(10z - 1) + 4z = 7
3x -40z + 4 + 4z = 7
3x - 36z = 3
3x = 36z + 3
x = 12z + 1
Done
If the square and equilateral triangle have the same side length, a square would have a larger area.
Use these are equations and you can see which one is greater.
Square area with side length s: s^2
Equilateral triangle area: s^2 * (√3 ) / 4
(√3) / 4 < 1, if you didn't know
I hope this helps. Have an awesome day! :)
