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astra-53 [7]
3 years ago
14

4.

Mathematics
1 answer:
Ganezh [65]3 years ago
8 0

Answer:

B) No, they are not congruent.

Step-by-step explanation:

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The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?
maksim [4K]
The answer is (3, -7). If the function is written in the form y = a(x – h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x + 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2 – 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8 * 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7. The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k = -7. Thus, the vertex is (3, -7).
4 0
3 years ago
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A cottage has a gable roof. To the nearest foot, how wide is the cottage?A. 12 ftB. 24 ftC. 35 ftD. 70 ft
Sergio [31]

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

7 0
2 years ago
60 is ? Times as many as 10
QveST [7]
60 is 6 times as many as 10, because 60 is 10 times 6.
6 0
3 years ago
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Help me out please. Correct answers only
Sergio [31]

Answer:

c=39

Step-by-step explanation:

4+2=6

To remove square root you have to square everything making the 6 a 36 and then add 3. At the end it is a 39.

8 0
3 years ago
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Find the area of the shape.
-BARSIC- [3]

Answer:

12.56

Step-by-step explanation:

area of a circle is A=πr^2

radius is 2

a= 3.14 (2)^2

=3.14 x 4

=12.56

7 0
2 years ago
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