The point of intersection of both graphs will have the coordinate (5, 9).
<h3>What is the Point of Intersection of the Graph?</h3>
We are given the functions;
f(x) = x + 4
g(x) = -2x + 19
Now, the point of intersection of both graphs is when both functions are equal which is at f(x) = g(x). Thus;
x + 4 = -2x + 19
x + 2x = 19 - 4
3x = 15
x = 15/3
x = 5
Thus;
f(x) = 5 + 4 = 9
g(x) = -2(5) + 19 = 9
Thus, the point of intersection of both graphs will have the coordinate (5, 9)
Read more about Graph Intersection at; brainly.com/question/11337174
#SPJ1
<span><span>If you would like to solve the equation </span>- 7 * x
- 3 * x + 2 = 8 * x - 8, you can calculate this using the following steps:<span>
- 7 * x - 3 * x
+ 2 = 8 * x - 8
- 7 * x -
3 * x - 8 * x = - 8 - 2
- 18 * x =
- 10 /(-18)
x = 10 / 18
x = 5/9
<span>The
correct result would be </span>5/9<span>.</span></span></span>
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)
Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say
x.
The lateral faces are equilateral triangles of side length
x.
The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.
now we need to find
x. Consider the picture attached, showing one lateral face of the pyramid.
by the Pythagorean theorem:
thus,
thus:
(cm^2)
but
is exactly the base area, since the base is a square of sidelength =
x cm.
So, the total surface area = base area + lateral area =
cm^2
Answer:
cm^2