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Volgvan
3 years ago
13

Which is a solution to the equation 6x + y = –4?

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0
(x,y)
sub those for x and y and see if you get a true statement

(2,-8)
6(2)+-8=-4
12-8=-4
4=-4
fasle

(2,8)
6(2)+8=4
12+8=4
20=4
false

(1,2)
6(1)+2=4
4+2=4
6=4
false

(1,-10)
6(1)+-10=4
6-10=-4
-4=-4
true

ANSWER IS D
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What are the coordinates of the point that is one half the distance between A(-1, -2) and B(6, 12)?
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The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)

What is the midpoint?

The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.

Given, A(6,12) = (x_{1}, y_{1} )

           B(6,12) = (x_{2}, y_{2} )

Let M is a midpoint of AB, then

M(x,y)=(\frac{x_{1}+x_{2}  }{2} ,\frac{y_{1} +y_{2}}{2} )= (\frac{-1+6}{2} ,\frac{-2+12}{2} )=(2.5,5)

The midpoint of point AB is M(2.5,5)

Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).

To learn more about the midpoint

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5 0
1 year ago
Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the
djyliett [7]

Answer:

Option (3)

Step-by-step explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

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Therefore, Option (3) will be the correct option.

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In a certain​ country, the mean birth weight for boys is 3.27 ​kg, with a standard deviation of 0.51 kg. Assuming that the distr
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We solve this question using z score formula

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σ is the population standard deviation

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Hence:

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Probability value from Z-Table:

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