Mathematics: i need help on question 4 A. Can someone please show working out too so I can understand it, thank you!

i need help on question 4 A. Can someone please

tmkyer2

16.03.2022

Q=(9,11)

Step-by-step explanation:

Solving (4a)

P (x_1,y_1) = (1,1)

M (x,y) = (5,6)

Required

Determine Q(x_2,y_2)

To do this, we make use of the mid-point formula:

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Substitute values for x, y, x1 and y1

$(5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2})$

Multiply through by 2

$2 * (5,6) = (\frac{1+x_2}{2},\frac{1+y_2}{2}) * 2$

(10,12) = (1+x_2,1+y_2)

By comparison:

10 = 1 + x_2

x_2 = 10 - 1

x_2 = 9

12 = 1 + y_2

y_2 = 12 - 1

y_2 = 11

Hence, the coordinates of Q is (9,11)

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makayyafreeman

12.12.2021

1) b 2) b

Step-by-step explanation:

1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).

2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x

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