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mixas84 [53]
3 years ago
7

The vertices of a figure are P(-3,4), Q(-1,3,) R(-2,1) and S(-4,1). Rotate the figure 270° clockwise about the origin. Find the

coordinates of the image.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Answer:

P (-3 , 4)  ---> (-4 , -3)

Q (-1 , 3) ---> (-3 , -1)

R (-2 , 1) ---> (-1 , -2)

S (-4 , 1) ---> (-1 , -4)

Step-by-step explanation:

270° clockwise rotation: (x , y) ---> (-y , x)

P (-3 , 4)  ---> (-4 , -3)

Q (-1 , 3) ---> (-3 , -1)

R (-2 , 1) ---> (-1 , -2)

S (-4 , 1) ---> (-1 , -4)

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12 & 35 Third side is hypotenuse = 37
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20 & 29 Third side is a leg = 21

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3 years ago
(b) Solve and write the solution set<br>for: 3x -8&lt;7 ; XEN<br>​
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Maria wraps the gift she is taking to a friend’s birthday party. She doesn’t have much paper, so she does not overlap any of the
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Answer:

Total paper required to wrap the gift without any overlaps: 2700\ cm^{2}

Step-by-step explanation:

Here, we need to find the total paper required without any sides overlapping to wrap the gift.

The gift is of <em>cuboid </em>type.

Given the following:

<em>Length </em>= 15 cm

<em>Width </em>= 30 cm

<em>Height </em>= 20 cm

Please refer to the attached figure.

We can infer that to find the paper required, we actually need to the find the<em> total surface area of the cuboid</em>.

Because the gift wrap will be done <em>on the faces of gift</em> (which is of cuboid shape).

Formula for Surface Area of <em>Cuboid:</em>

\text {Area = } 2 \times (\text{Length}\times \text{Width} + \text{Width}\times \text{Height} + \text{Length}\times \text{Height} )\\\\\Rightarrow 2 \times (15 \times 30 + 30 \times 20 + 15 \times  20)\\\Rightarrow 2 \times (450 + 600 + 300)\\\Rightarrow 2 \times (1350)\\\Rightarrow 2700 cm^{2}

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8 0
3 years ago
Write the letter for each expression in the box under the correct category in the table.
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Answer:

a) 9+(-3) + (-2)  = 9 -5 = 4> 0  ⇒  Positive Sum

b) -12 +1 +11  = -12  +12 5 =  0  ⇒  Zero Sum

c) -3 +8 + (-4)  = -7 + 8 -5 =-1 <  0  ⇒ Negative Sum

d)  -4+9+(-10) = 9 -14 = -5 <  0  ⇒ Negative Sum

e) 3+(-2) + (-4)  = 3  -6= -3 <  0  ⇒ Negative Sum

f) 2 + (-4) + 2  = 4 -4 =  0  ⇒  Zero Sum

Step-by-step explanation:

Positive Sum is defined as the condition in which the Sum of total of gains and losses is GREATER THAN ZERO.

Zero Sum  is defined as the condition in which the Sum of total of gains and losses is EQUAL TO ZERO.

Negative Sum is defined as the condition in which the Sum of total of gains and losses is LESS THAN ZERO.

Now, here

a) 9+(-3) + (-2)  = 9 -5 = 4> 0  ⇒  Positive Sum

b) -12 +1 +11  = -12  +12 5 =  0  ⇒  Zero Sum

c) -3 +8 + (-4)  = -7 + 8 -5 =-1 <  0  ⇒ Negative Sum

d)  -4+9+(-10) = 9 -14 = -5 <  0  ⇒ Negative Sum

e) 3+(-2) + (-4)  = 3  -6= -3 <  0  ⇒ Negative Sum

f) 2 + (-4) + 2  = 4 -4 =  0  ⇒  Zero Sum

5 0
3 years ago
Please help need answers ASAP
kvasek [131]
The answer is 2, because 4x+20=x+20 if you solve for x the answer will be 2
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3 years ago
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