Using 6 as a denominator, what fraction completes the following equation: 1 − 1/3 = ? a. 3/6 c. 5/6 b. 4/6 d. 2/6

Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the ori

Leni [432]

Answer:

Numbering the options, we have;

1) Side B'A' has a slope of −1 and is perpendicular to side BA.

2) Side B'A' has a slope of 1 and is parallel to side BA.

3) Side B'A' has a slope of 1 and is perpendicular to side BA.

4) Side B'A' has a slope of −1 and is parallel to side BA.

The correct option is;

1) Side B'A' has a slope of -1 and is perpendicular to side BA

Step-by-step explanation:

The given coordinates are;

A(3, 5) B(1, 3), C(5, -1) and D(7, 1)

The slope of BA is found as follows;

$Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1$

Rotation of a line through 90 degrees gives

(x, y) will be (y, -x)

Therefore, the coordinates of A' = (5, -3)

The coordinates of B' = (3, -1)

Then the slope is given as follows;

$Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1$

Therefore side B'A' has a slope of -1 and is perpendicular to side BA.

8 0

4 years ago

Can some help me with this problem please -41=-2/5(45n+60)+n

liq [111]

Answer:

Step-by-step explanation:

I will ASSUME you mean

-41 = (-2/5)(45n + 60) + n

and not -41 = -2/(5(45n + 60)) + n

or -41 = -2/(5(45n + 60) + n)

-41 = (-2/5)(45n + 60) + n

distribute the (-2/5)

-41 = -18n - 24 + n

combine like terms

17n = 17

reduce to simplest form

n = 1

8 0

3 years ago

Read 2 more answers

Solve. 15 − 6(x + 1) = 12<br> Help nowwwww

Gekata [30.6K]

Answer:

Your answer would be 2

Step-by-step explanation:

15 - 6(x+1) =12

15- 6*x +6*1 = 12

15 - 6x + 6 = 12

15 - 6 + 6x = 12

9 + 6x = 12

9 - 9 + 6x = 12 - 9

6x = 3

x = 2

5 0

4 years ago

What is the next number in the sequence 1, -1, 2, -2, 3

mylen [45]

Answer:

-3

Step-by-step explanation:

There are two ways to see what the next sequence number would be in this case.

First approach, you start with the first number (1) than count every other number, which are all positive integers. You do the same starting from the second number (-1), which would then be all negative integers.

Second approach, consider 2 consecutive numbers being a single element of the series... each has a number (1,2,3) with its positive and negative values.

3 0

4 years ago

Simplify 10cm:30cm<br> Simplify 2cm:1m

ollegr [7]

Step-by-step explanation:

Simplest form=10/30=1/3

=1cm:3cm

Simplest form=2cm:1m

1m=100cm

2:100

2/100=1/50

1cm:50cm

5 0

3 years ago

Read 2 more answers