2x+4y=0
substitute y with 0
2x+4(0)=0
solve the equation
2x+0=0
2x=0
divide by 2 on both sides
x=0
4x+8y=7
substitute y with 0
4x+8(0)=7
solve the equation
4x+0=7
4x=7
divide by 4 on both sides
x=7/4 or x=1 3/4 or x=1.75
3x-7y=-29
2x+2y=6
solve the bottom equation
3x-7y=-29
x=3-y
substitute for x
3(3-y)-7y=-29
solve the equation
y=19/5
now substitute for y
x=3-
solve for x
x=-4/5
the possible solution of the system is the ordered pair
(x,y)=(
)
If the ^ is a divided sign then 5x if it’s a multiplication sign 20x! Don’t forget Order of operations.
Let's just choose "x" as our variable for the length of a side of the triangle.
Two sides of a triangle are equal in length and double the length of the shortest side.
A triangle has 3 sides. Make the smallest side x then the two equal sides that are double the smallest side are both equal to 2x
The perimeter of the triangle is 35 inches. Perimeter is the sum of all sides.
x + 2x + 2x = 35
5x = 35
x = 7
So the smallest side is 7, and the other two sides are 14.
Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Answer:
Step-by-step explanation:
Yes.