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2 years ago

Find the coordinates of the image of a triangle with vertices A(0, – 3), B(3, 0), and

Mathematics

1 answer:

lora16 [44]2 years ago

8 0

Answer:

A'(-3,0), B'(0,-3) and C'(4,7)

Step-by-step explanation:

We are given that the vertices of triangle are A(0,-3), B(3,0) and C(-7,4).

We have to find the coordinates of the image of triangle under a rotation of 90° clockwise about the origin.

90° clockwise about the origin

Rule: $(x,y)\rightarrow (y,-x)$

Using the rule

The coordinates of A'

$A(0,-3)\rightarrow A'(-3,0)$

The coordinates of B'

$B(3,0)\rightarrow B'(0,-3)$

The coordinates of C'

$C(-7,4)\rightarrow C'(4,7)$

Hence, the vertices of image of triangle is given by

A'(-3,0), B'(0,-3) and C'(4,7)

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Help please if anyone knows

larisa86 [58]

Part A
To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, $\frac{3}{5}$ and $\frac{2}{3}$ equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

Part B
To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

$1 \frac{3}{5} \\ \\ (5*1)+3 =8 \\ \\ \frac{8}{5} \\ \\ \\ \\ 1 \frac{2}{3} \\ \\ (3*1)+2=5 \\ \\ \frac{5}{3} 
$

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

$\frac{8}{5} *3 = \frac{24}{15} \\ \\ \frac{5}{3} *5 = \frac{25}{15}$

Now, we can simply add our numerators.

$25+24=49$

We know that he needs $\frac{49}{15}$ gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

$\frac{49}{15} \\ \\ 49 / 15 = 3(Remainder: 4) \\ \\ 3\frac{4}{15}$

Using that logic, we can see that the painter needs exactly $3 \frac{4}{15}$ gallons of paint.

4 0

3 years ago

Numbers like 10,100,1000, and so on are called blank

Evgen [1.6K]

Multiples of 10.

Is that what you are asking?

6 0

3 years ago

Plz help me with this Im timed will mark as brainliest

viktelen [127]

Well what i got was 79.3 by finding the average by adding it all together then divided it by how many numbers

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3 years ago

Read 2 more answers

How do I answer question b?

SCORPION-xisa [38]

The answer for that would be 2 raise to 5. solution:

2 ³ x 2 raise to 6 = 2 raise to 9
thus, you have now,
2 raise to 9 over 2 raise to 4

subtracting 4 from 9
the Answer is 2 raise to 5

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3 years ago

The area of a square is 75 inches squared. A student correctly wrote the length of each side of the square as a√3. What is the v

aev [14]

Answer: 5 in.

Step-by-step explanation:

Given

The area of the square is $75\ in.^2$