The correct answer is true because the origin will always be (0,0)
Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:

and

Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:

In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:

Answer:
The unknown angle is 80
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
Let the unknown angle be x
20+80+x = 180
Add like terms
100+x = 180
Subtract 100 from each side
100-100+x=180-100
x = 80
The slope is 2/3, and the y-intercept is 4. In slope intercept form, the equation is y=2/3x+4
Given:
The volume of a cube-shaped box is
cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:


It is given that the volume of a cube-shaped box is
cubic meter.

Taking cube root on both sides, we get

Now, the perimeter of each face of a cube is:

Where, a is the side length of the cube.
Putting
, we get


Therefore, the perimeter of each face of a cube-shaped box is 2 meters.