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bogdanovich [222]
3 years ago
5

Which expression is equivalent to 6(7x – 4)?

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

\huge\text{Hey there!}

\bold{Equivalent\ to: 6(7x -4)}

\bold{FIRST\ you\ have\ to\ DISTRIBUTE}

\bold{Formula\downarrow}\\\bold{a(b+c)}\\\bold{a(b)+a(c)}\\\bold{=\underline{ab+ac}}

\bold{6(7x-4)}\\\bold{6(7x)+6(-4)}\\\bold{6(7x)=42x}\\\bold{6(-4)=-24}\\\bold{\underline{42x-24}}\\\\\boxed{\boxed{\bold{Answer: \large{\text{\bf{B. 42x - 24}}}}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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Answer:

A). Yes

B). Yes

C). No

D). Yes

Step-by-step explanation:

Coordinates of the midpoint of a segment joining two points (x_1, y_1) and (x_2,y_2) are given by (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}).

A). If the points are A(1, 2) and B(3, 4)

    Coordinates of the midpoint M → (\frac{1+3}{2},\frac{2+4}{2})

    M → (2, 3)

    Yes.

B). Extreme points of segment AB are A(0, 8) and B(10, -1)

    Coordinates of the midpoint will be,

    M → (\frac{0+10}{2}, \frac{8-1}{2})

    M → (5, 3.5)

    Yes

C). Extreme points of segment AB are A(-7, -5) and B(6, 4)

    Coordinates of the midpoint will be,

     M → (\frac{-7+6}{2}, \frac{-5+4}{2})

     M → (-0.5, -0.5)

     NO

D). Extreme points of segment AB are A(4, -2) and B(6, -8)

     Coordinates of the midpoint will be,

     M → (\frac{4+6}{2}, \frac{-2-8}{2})

     M → (5, -5)

     Yes

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