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kvasek [131]
3 years ago
13

The _______ form of a quadratic equation is written y = a(x - h)2 + k

Mathematics
2 answers:
Vikentia [17]3 years ago
7 0
That is the vertex form of a quadratic equation
Maslowich3 years ago
7 0

Answer:

Correct Answer: vertex form

Step-by-step explanation:

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A circle has a radius of 4m . find the length s of the arc intercepted by a central angle of 77° . do not round any intermediate
Hoochie [10]
s= \pi r ( \frac{C}{180} )  \ \ \ \ [C= central \  angle, \ r=radius,  \pi =3.14] \\  \\ s=3.14*4* \frac{77}{180}= 3.14* \frac{77}{45} \approx 5.4 \ m

8 0
3 years ago
Verify that y1(t) = 1 and y2(t) = t ^1/2 are solutions of the differential equation:
Papessa [141]

Answer: it is verified that:

* y1 and y2 are solutions to the differential equation,

* c1 + c2t^(1/2) is not a solution.

Step-by-step explanation:

Given the differential equation

yy'' + (y')² = 0

To verify that y1 solutions to the DE, differentiate y1 twice and substitute the values of y1'' for y'', y1' for y', and y1 for y into the DE. If it is equal to 0, then it is a solution. Do this for y2 as well.

Now,

y1 = 1

y1' = 0

y'' = 0

So,

y1y1'' + (y1')² = (1)(0) + (0)² = 0

Hence, y1 is a solution.

y2 = t^(1/2)

y2' = (1/2)t^(-1/2)

y2'' = (-1/4)t^(-3/2)

So,

y2y2'' + (y2')² = t^(1/2)×(-1/4)t^(-3/2) + [(1/2)t^(-1/2)]² = (-1/4)t^(-1) + (1/4)t^(-1) = 0

Hence, y2 is a solution.

Now, for some nonzero constants, c1 and c2, suppose c1 + c2t^(1/2) is a solution, then y = c1 + c2t^(1/2) satisfies the differential equation.

Let us differentiate this twice, and verify if it satisfies the differential equation.

y = c1 + c2t^(1/2)

y' = (1/2)c2t^(-1/2)

y'' = (-1/4)c2t(-3/2)

yy'' + (y')² = [c1 + c2t^(1/2)][(-1/4)c2t(-3/2)] + [(1/2)c2t^(-1/2)]²

= (-1/4)c1c2t(-3/2) + (-1/4)(c2)²t(-3/2) + (1/4)(c2)²t^(-1)

= (-1/4)c1c2t(-3/2)

≠ 0

This clearly doesn't satisfy the differential equation, hence, it is not a solution.

6 0
3 years ago
Identify the indicated angles as adjacent, vertical, linear pair or adjacent/linear pair
Scorpion4ik [409]

Answer:

it is an adjacent/linear pair

6 0
3 years ago
Help please i need help help
Arte-miy333 [17]

Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2

Step-by-step explanation:

5 0
3 years ago
PLZZZZ HELP MEEEEE!<br> 4x^3-9x/x+1.5=0
lord [1]

Answer:

x =  2 /3  = 1.500

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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