Answer:
1. 7
2. 35
3 & 4. 7x = 70
5. 10
Step-by-step explanation:
1. x^2 + y^2 - 4x + 12y - 20 = 0 ---- (x-2)^2 + (y+6)^2 = 60
3. 3x^2+ 3y^2 + 12x +18y - 15 = 0 --- (x+2)^2 + (y+3)^2 = 18
5. 2x^2 + 2y^2 - 24x - 16y - 8 = 0 --- (x-6)^2 + (y-4)^2 = 56
I don't know the other two, hope I helped though.
A cross section is the two dimensional shape that is created when a slice is made through a solid figure by an intersection of a plane and the solid body.
A square pyramid is a pyramid with a square base.
Case 1: When the plane intersects the square pyramid at an angle perpendicular to the base but not through the vertex. In this case a trapezoid is formed.
Case 2: When the plane intersects the square pyramid at an angle perpendicular to the base and through the vertex. In this case a triangle is formed.
Case 3: When the plane intersects the square pyramid at an angle parallel to the base. In this case a square is formed.
<span>Therefore, a
cross section made by the intersection of a plane and a square
pyramid at an angle either parallel or perpendicular to the base can be of shapes:
-square
-triangle
-trapezoid</span>
Answer: The length of the rectangle is 37.5 inches and the width is 12.5 inches
Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;
Perimeter = 2(L + W)
We can now insert the known values as follows;
100 = 2(3W + W)
100 = 2(4W)
100 = 8W
Divide both sides of the equation by 8
12.5 = W
Having calculated the width as 12.5 inches, the length now becomes
L = 3W
L = 3 x 12.5
L = 37.5
Hence the length is 37.5 inches and the width is 12.5 inches
Answer:
Ok
Step-by-step explanation:
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