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2 years ago

6m−7)⋅4=left parenthesis, 6, m, minus, 7, right parenthesis, dot, 4, equals ¿Atorado?

Mathematics

1 answer:

mars1129 [50]2 years ago

7 0

Answer:

24m - 28

Step-by-step explanation:

Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;

A(B+C) = AB + AC [A is distributed over B and C]

For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;

(6m−7)⋅4 = 4(6m) - 4(7)

(6m−7)⋅4 = 24m - 28

Hence (6m−7)⋅4 = 24m - 28

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$\huge\textsf{Hey there!}$

$\mathsf{2x^2 + 3x - 12}$

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Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length

Dennis_Churaev [7]

Answer:

k = 9

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Step-by-step explanation:

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Substitute these values into the equation and solve for $k$ :

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We are told that one end of the chord is at $(\frac23 ,1)$ and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:

$\implies 1=9 \left(x-\dfrac13 \right)^2$

$\implies \dfrac19 = \left(x-\dfrac13 \right)^2$

$\implies \sqrt{\dfrac19} = x-\dfrac13$

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Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

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