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1 year ago

Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0

Mathematics

1 answer:

cupoosta [38]1 year ago

4 0

The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.

<h3>What is an equivalent expression?</h3>

The equivalent is the expressions that are in different forms but are equal to the same value.

The equation is given below.

x² − 10x − 11 = 0

Then the equation can be written as

x² − 10x + 25 – 25 − 11 = 0

(x – 5)² = 36

Then the correct option is A.

The complete question is attached below.

More about the equivalent link is given below.

brainly.com/question/889935

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Determine whether the point (2, 2) is a solution to the system of equations. Explain your reasoning in complete sentences. Prove

goblinko [34]

Answer:

(0,2) is the solution of the given functions.

Step-by-step explanation:

We have been given two functions f(x)=|x-1|+1 and g(x)=3x+2

To find the solution of the two functions mathematically, we will equate the given functions:

3x+2=|x-1|+1

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When we will open the modulus function we will have two values +, -

In positive case:

3x+1 =x-1

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Now, substitute x=-1 in g(x)=3x+2 we get

g(-1)=3(-1)+2=-1

Hence, (-1,-1) is the solution of the given functions.

In negative case:

Now, 3x+1=-(x-1)

3x+1=-x+1

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Now, put x=0 in g(x)=3x+2 we get

g(0)=3(0)+2=2

We have another solution: (0,2)

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And graphically, the solution of two functions is their intersection point which is (0,2)

Hence, (0,2) is the solution of the function.

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