First find the area of the whole square. Even the part that isn't part of the area. Then find the area of the spots that aren't part of the shape. Then subtract that area from the area of the whole thing.
15×18=270
(9x12)+(4×5)=128
270-128=142
Area= 142ft^2
<h3>
Answer: 180 inches</h3>
Work Shown:
L = 54 = length
W = 36 = width
P = 2(L+W) ... perimeter of the rectangle
P = 2(54+36)
P = 2(90)
P = 180
She needs 180 inches of ribbon.
To convert to feet, divide by 12. So 180 inches = 180/12 = 15 feet.
Answer:
0.75, 0.625, 0.5, 0.45
Step-by-step explanation:
If 317+x=609, then x is 292.
609-317=292 therefore, x is 292.
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)