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liberstina [14]
1 year ago
5

Triangle OMG has vertices at O(−3,3), M(4,2), and G(−3,1). Point G is rotated 90° counterclockwise around the origin, forming G'

.
ΔOMG' is
Mathematics
1 answer:
Irina18 [472]1 year ago
3 0

Answer:

O'(-3,-3) M'(-2,4) G'(-1-3)

Step-by-step explanation:

Rule: rotation of (x,y) counterclockwise around the origin gives (-y,x)

Thus

O(-3,3) will be O'(-3,-3)

M(4,2) will be M'(-2,4)

G(-3,1) will be G'(-1,-3)

Therefore O'(-3,-3),M'(-2,4) and G'(-1,-3) would be the answer.

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Alvin and Bala has 26 stickers.Alvin had 8 more stickers thab Bala.How many stickers did Bala have?​
Brilliant_brown [7]
Bala had 9 stickers

You could set this up as a equation. Because there was a total of 26 you would for sure put =26. Next you are told Alvin has 8 MORE than Bali, therefore you would be adding the unknown value of Bala by 8. This could be represented as x+8=26. Now that you have x added to 8 you need to add another x to the equation to fully represent the problem since Alvin has 8 more stickers than Bala does. The new equation would become 2x+8=26.

You must now isolate x by first subtraction 8 from both sides which will leave you with 2x=18. Then you divide on both sides by 2 and will leave you with x=9
3 0
2 years ago
In a sale, normal prices are reduced by 13%. The sale price of a DVD recorder is £108.75 Calculate the normal price of the DVD r
kifflom [539]

Answer:

$122.89

Step-by-step explanation:

The two number you have in this equation are 108.75 and 13% (or .13)

first you want to multiply 108.75 to .13

108.75 * .13 = 14.1375

Now, you add 14.1375 to 180.75 and round to the nearest hundredth

180.75+ 14.1375=122.8875

$122.89

5 0
1 year ago
Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one
dalvyx [7]

Answer with Step-by-step explanation:

We are given that

f(x)=\frac{3x-1}{x}

For each real number x\neq 0

To prove that f is one -to-one.

Proof:Let x_1 and x_2 be any nonzero real numbers such that

f(x_1)=f(x_2)

By using the definition of f to rewrite the left hand side of this equation

f(x_1)=\frac{3x_1-1}{x_1}

Then, by using the definition of f to rewrite the right hand side of this equation  of f(x_1)=f(x_2)

f(x_2)=\frac{3x_2-1}{x_2}

Equating the expression then we get

\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}

3x_1x_2-x_2=3x_2x_1-x_1

3x_1x_2-3x_1x_2+x_1=x_2

x_1=x_2

Therefore, f is one-to-one.

6 0
1 year ago
Your promotional budget for the year is $300 for personal selling, $300 for sales promotion, \$1,500 for advertising, and $500 f
aleksandr82 [10.1K]

Answer:

to get the total promotion budget for the year we will add $300 for personal selling plus $300 for sales promotion plus $1500 for advertising plus $500 for image promotion to the a total of 2600 dollars

8 0
1 year ago
The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o
dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

3 0
2 years ago
Read 2 more answers
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