Answer:
2*(5x - 2) + 2*(3x+1) ; Perimeter = 62 centimeters
Step-by-step explanation:
2*(5x - 2) + 2*(3x+1) = 10x - 4 + 6x + 2
= 16x -2
If x = 4 , then Perimeter = 16*4 - 2 = 64 - 2 = 62 cm
Answer:
25, 36, 49
Step-by-step explanation:
Start with a definition of perfect squares. Basically, they're the result of a number multiplied by itself. 2*2, or 2² = 4, which is a perfect square. 3*3, or 3² = 9, and so on. You can keep listing these until you get inside the interval you want (from 22 to 50).
4² = 16
5² = 25 ... so now we're where we want to be!
6² = 36 ... still good
7² = 49 ... that's lower than 50 still
8² = 64 ... and now we're over our limit, so 8 doesn't do the job for us.
The only perfect squares matching your criteria are 25, 36, and 49.
Answer:
<h2>
f(x) = ⁵/₈(x+2)² - 13</h2>
Step-by-step explanation:
Vertex form of the equation of a quadratic function with vertex (h,k):
f(x) = a(x - h)² + k
To find <em>a</em> we need to put the point and the vertex into this equation:
3 = a(-6 + 2)² - 13
10 = a(-4)²
16a = 10
a = ⁵/₈
Therefore, vertex form of the quadratic function:
f(x) = ⁵/₈(x+2)² - 13
