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d1i1m1o1n [39]
3 years ago
10

2. Find the absolute value of 6? |6|

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
3 0

Step-by-step explanation:

|6| = 6 means the absolute value of 6 is 6.

xxTIMURxx [149]3 years ago
3 0

Answer:

Its 6.

Step-by-step explanation:

the absolute value of a positive number is that number and the absolute value of a negative number is the same number just positive.

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the difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers?
stepladder [879]
I would more detail so I can better answer your question for you

5 0
3 years ago
Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.
xxTIMURxx [149]

Answer:

Option A: b must equal 7 and a second solution to the system must be located at the point (2, 5)

Step-by-step explanation:

<u><em>The complete question is</em></u>

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Equation 1: (x – 3)2 = y – 4

Equation 2: y = -x + b

In order for Tom’s thinking to be correct, which qualifications must be met?

A: b must equal 7 and a second solution to the system must be located at the point (2, 5).

B: b must equal 1 and a second solution to the system must be located at the point (4, 5).

C: b must equal 7 and a second solution to the system must be located at the point (1, 8).

D: b must equal 1 and a second solution to the system must be located at the point (3, 4).

step 1

Find the vertex of the quadratic equation

The general equation of a vertical parabola in vertex form is

y=a(x-h)^2+k

where

(h,k) is the vertex

we have

(x-3)^{2}=y-4

so

y=(x-3)^{2}+4

The vertex is the point (3,4)

step 2

Find out the value of b in the linear equation

we know that

If the vertex is a solution of the system of equations, then the vertex must satisfy both equations

substitute the value of x and the value of y of the vertex in the linear equation

y=-x+b

For x=3, y=4

4=-3+b\\b=7

so

y=-x+7

step 3

Find out the second solution of the system of equations

we have

y=(x-3)^{2}+4 -----> equation A

y=-x+7 ----> equation B

solve the system of equations by graphing

Remember that the solutions are the intersection points both graphs

The second solution of the system of equations is (2,5)

see the attached figure

therefore

b must equal 7 and a second solution to the system must be located at the point (2, 5)

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3 years ago
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Answer:

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Step-by-step explanation:

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What are the rules of prime factorization?
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A Prime Number can be divided evenly only by 1 or itself. And it must be a whole number greater than 1.
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