Answer:
Option 1st is correct
Step-by-step explanation:
Area of the triangle is given by:
where,
A is the area of the triangle
b is the base and
h is the height of the triangle.
As per the statement:
For a project, you need to make three triangles out of cardboard.
Each triangle has a height of 5 inches and a base of 10 inches
⇒b = 10 inches and h = 5 inches
Since, you need to make three triangles out of cardboard
⇒
Therefore, an equation can you use to solve for the total amount of cardboard you will need is,
Yes, find the prime factors.
4 can be written as 2*2.
g^4 can be written as g*g*g*g.
That is the prime factorization of the first expression.
4g^4 can be written as 2*2*g*g*g*g.
34 can be written as 2*17.
And again we can split up the g business: g^3 is g*g*g.
34g^3 can be written as 2*17*g*g*g.
What do these expressions have in common?
They have a 2 in common,
and three of the g's in common, ya?
Therefore the GCF(4g^4, 34g^3) = 2g^3.
Answer:
m=2/3
Step-by-step explanation:
the equation for slope (m) is (y2-y1)/(x2-x1)
here are the given points: (8,0) and (2,-4)
label the points
x1=8
y1=0
x2=2
y2=-4
substitute into the equation
m=(-4-0)/(2-8)
m=-4/-6
m=2/3
the slope is 2/3
First, we should calculate the lengths of the three sides (see the figure below).
The distance between two coordinates (x₁, y₁) and (x₂, y₂) is given by the formula
Because the triangle is a right angle (indicated by the figure), we can determine the lengths of BC and AC easily.
The length of BC is the change in the x-coordinates, and AC is the change in the y-coordinates.
BC = 2 - (-2) = 4
AC = 4 - 1 = 3
To find AB, use the distance formula (the same as the Pythagorean theorem).
AB = √[(2-(2)) ²+ (4-1)² ] = √(4²+3²) = √25 = 5
The area of the triangle is (1/2)*BC*AC = (1/2)*4*3 = 6
Answer: 6
