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2 years ago

What is the mapping rule for a 45 degree rotation?

Mathematics

1 answer:

sleet_krkn [62]2 years ago

8 0

Step-by-step explanation:

Imagine a line segment on a coordinate plane that rotates around the origin like a clock hand. If it travels 45° (or any positive degree angle), it will travel in a counterclockwise direction. If it rotates -45° degrees (or any negative degree angle), it will travel in a clockwise direction.

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Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

2 years ago

Jose is a botanist studying production of coconuts by two different groups of his

Colt1911 [192]

Answer: 132

Step-by-step explanation:

Since we are informed that Group 1 of trees produced 25 percent more coconuts than Group 2 did and that Group 1 produced 165 coconuts, the number of coconuts that Group 2 produce will be:

= [100 / (100 + 25)] × 165

= 100/125 × 165

= 0.8 × 165

= 132

Group 2 produced 132 coconuts.

5 0

2 years ago

Step by step 27x506

andreyandreev [35.5K]

Answer: 13662

Step-by-step explanation: Type into google, 27 times 506

3 0

2 years ago

Read 2 more answers

Jimmy’s dad gave him $100 on his birthday, which is January 1. Jimmy deposited the $100 in his savings account the same day. At

aliya0001 [1]

$300 every month beginning Feb 1st until the month of June = $1800

5 0

2 years ago

Given that the the graph represents a system of equations on a coordinate plane, how many solutions does the system have?

nalin [4]

Wheres the graph? i cant help if theres no graph, sorry

8 0

3 years ago