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1 year ago

Is (2, 6) a solution to this system of equations? y = -x + 8 y = 5x - 4 yes no

Mathematics

1 answer:

Alexxx [7]1 year ago

6 0

Answer:

Yes

Step-by-step explanation:

To see is (2, 6) is a system, we can plug it into the system to check if it gives us true statements:

6 = -2+8

6 = 6

6 = 5(2)-4

6 = 10-4

6 = 6

Both of the equations are true, therefore (2, 6) is a solution to this system.

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What is the first quartile of this data set? {6, 47, 49, 15, 43, 41, 7, 36}

stepladder [879]

<span>The first quartile is the same as the median of the data which are less than the overall median. Same as the 25th percentile.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!

5 0

2 years ago

Which two values of x are roots of the polynomial below?

Julli [10]

Answer:

B. and C.

Step-by-step explanation:

1. Set the polynomial equal to zero:

x² + 5x + 7 = 0

2. Plug the given values of a, b, and c into the quadratic formula:

$x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}$

3. Solve the square root:

$x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}$

$x=\frac{-5+-\sqrt{25-28} }{2(1)}$

$x=\frac{-5+-\sqrt{-3} }{2(1)}$

4. Simplify the rest:

$x=\frac{-5+-\sqrt{-3} }{2}$

5. Separate the solutions:

$x=\frac{-5+\sqrt{-3} }{2} , x=\frac{-5-\sqrt{-3} }{2}$

Thus, options B and C are the answers.

hope this helps!

4 0

2 years ago

John used AABC to write a proof of the Centroid Theorem. He began by drawing medians AK and CL,

kumpel [21]

Answer:

Hello your question is poorly written attached below is the complete question

answer : attached below

Step-by-step explanation:

To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem

Attached below is the proof