9514 1404 393
Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
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When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
- a = 2
- -h = -5 ⇒ h = 5
- k = 6
Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
Answer:
D
Step-by-step explanation:
the perimeter of a shape is the sum of it's sides
in a square all sides have the same length
here all sides are 1 inch
so 1+1+1+1 = 4 inches which is D
2/5 at the top nd bottom, but 0/5 on the sides. So 2/5 + 0/5= 1/5
9514 1404 393
Answer:
- 113.0 cm²
- 2464.0 in²
- 95.0 ft²
Step-by-step explanation:
1. The area of a circle is given by the formula ...
A = πr² . . . . . where r is the radius
The radius is shown as 6 cm, so the area is ...
A = (3.14)(6 cm)² = 113.0 cm²
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2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.
A = (22/7)(28 in)² = 2464 in² . . . . see comment
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3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...
A = (3.14)(5.5 ft)² = 95.0 ft²
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<em>Additional comment</em>
If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.
Answer: z = 7
Step-by-step explanation:
Step 1: Subtract 4 from both sides
z + 4 - 4 = 11 -4
z = 7
