The perimeter of the equilateral triangle is 3s and s=4x so the perimeter is:
12x
And we are told that the perimeter of the square is the same. And that perimeter is 4s where s=(x+6) so that perimeter is equal to
4x+24, and again, we are told that these two values are equal so we can solve for x...
12x=4x+24
8x=24
x=3 and if x=3 then the side length is (x+6)=9
So the area of the square is always A=s^2 and s=9 thus:
A=9^2
A=81 u^2
Answer:
x y
0 9
1 12
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
Slope:
3
y-intercept:
9
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Choose
0
to substitute in for
x
to find the ordered pair.
y
=
9
Choose
1
to substitute in for
x
to find the ordered pair.
y
=
12
Create a table of the
x
and
y
values.
x
y
0
9
1
12
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
y-intercept:
9
x
y
0
9
1
12
image of graph
It is in form (x,y) (ususally)
7.5 and 12
there is something called a coordinate system where a line called the y axis runs vertically for infinity and a line perpendicular to it, crosses it. the other line is called the x axis which also extends for infinity
the point where they cross is point (0,0) or the origin
basically the numbers tell you how far you are from the axises
on the y axis, + numbers are up and - numbers are down
on the x axis, + numbers are to the right and - numbers are to the left
7.5=x and 12=y
+7.5 is positive
7.5 means that the point is 7.5 units to the right of the origin in relation to the x axis
12 is positive
12 means that the point is 12 units up from the origin in relation to the y axis
hope this helped. feel free to ask if its too confusing
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
<em>x = 5y - 6 </em> This is just the first sentence written as an equation.
<em>x + y = 60</em> This is just the second sentence written as an equation.
<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to
<em>6y - 6 = 60</em> Collect like terms
<em>6y = 66</em> Add 6 to each side
<em>y = 11</em> Divide each side by 6
<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is
<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55
<em>x = 49</em> Subtract 6 from 55 to get 49
