For the first one. An equilateral triangle is one with three equal sides. An isosceles triangle is one with two equal sides. Therefore, every equilateral triangle is isosceles, but not every isosceles triangle is equilateral. So far, so book.
For the second one. Right triangles are defined as triangles that contain a right angle, where a right angle is an angle with a measure of 90°. Isosceles triangles are defined as triangles that have two sides of equal length.
1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
2. The standard form for the equation of a circle is:
(x-h)</span>²+(y-k)²=r²
(h,k) is the center point.
r is the radius.
3. Keeping this on mind, you can find the value of the radius, as below:
r²=36
r=√36
r=6 m
4. Then, the diameter of the circle is:
D=2r
D=2(6m)
D=12 m
<span>
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>
The answer is: 12 m
We can use the formula y2-y1/x2-x1 to find the slope.
1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.
2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.
3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.
4. -17-3/-11-(-1) is -20/-10. The slope is 2.
9x+2x-3
=11x-3
Plus all the unknow factors
