Answer:
x=9
Step-by-step explanation:
Since x+5=14, then you would subtract 5 from 14. 14-5=9. So that means x equals 9.
Answer:
The area of the regular hexagon is 
Step-by-step explanation:
we know that
The area of a regular hexagon can be divided into 6 equilateral triangles
so
step 1
Find the area of one equilateral triangle
we have
----> is the apothem
substitute
step 2
Find the area of 6 equilateral triangles
Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
To find an area of a rectangle, we use this method: A = lw (length x width)
We need to replace a(rea) with 48.
48 = lw.
The following expressions can be used:
1 x 48.
2 x 24.
3 x 16.
4 x 12.
6 x 8.
8 x 6.
12 x 4.
16 x 3.
24 x 2.
48 x 1.
Answer:
B
Step-by-step explanation:
A proportional relationship is represented by linear function with its linear parameter "b" equal to zero. Since b is equal to zero, the line passes through the origin and the function/relation is proportional.
To verify that we divide the y coordinate over the x coordinate we obtain a constant called k, which is the slope.
For instance:
According to this function we can easily check a proportional relationship among its points:
