Answer:The equation x² + 7 = 0 has no solution
Explanation:1- using graph:To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions
2- using algebra:To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions
Hope this helps :)
Answer:
15x12=180mm
Step-by-step explanation:
8/10 is the fraction form of .8. In percentages it would be 80%.
The count of the equilateral triangle is an illustration of areas
There are 150 small equilateral triangles in the regular hexagon
<h3>How to determine the number of
equilateral triangle </h3>
The side length of the hexagon is given as:
L = 5
The area of the hexagon is calculated as:
This gives
The side length of the equilateral triangle is
l = 1
The area of the triangle is calculated as:
So, we have:
The number of equilateral triangles in the regular hexagon is then calculated as:
This gives
So, we have:
Rewrite as:
Hence, there are 150 small equilateral triangles in the regular hexagon
Read more about areas at:
brainly.com/question/24487155
Answer:
16.9 units
Step-by-step explanation:
Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...
14.87 + 2 = 16.87 ≈ 16.9 . . . units
_____
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9