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Hatshy [7]
2 years ago
3

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.5,

2). The finishing point will be at (2, −5.5).
Part A: Use the grid to determine in which quadrants the starting point and the finishing point are located. Explain how you determined the locations. (6 points)


Part B: A checkpoint will be at (5.5, 2). In at least two sentences, describe the differences between the coordinates of the starting point and the checkpoint, and explain how the points are related.
Mathematics
1 answer:
Tems11 [23]2 years ago
6 0

Answer:

A)

The starting point ( -5.5,2) and it's reflecting about the line y=x

Then the finishing point is ( 2, -5.5)

B

<em>The given point (-5.5,2) is a reflection about the y-axis then the co-ordinate changes to ( 5.5,2)</em>

<em>Step-by-step explanation:</em>

A)

<em>A reflection of a line y=x then the co-ordinate point changes to</em>

<em>(x,y)→ (y,x)</em>

Given the starting point ( -5.5,2) and<em> it's </em><em>reflecting about the line y=x</em>

Then the finishing point is ( 2, -5.5)

B)

The Reflection about y-axis then the co-ordinate point changes to

<em>(x,y)→ (-x,y)</em>

<em>The given point (-5.5,2) is a </em><em><u>reflection about the y-axis</u></em><em> t</em><em>hen the co-ordinate changes to </em><em>( 5.5,2)</em>

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A greengrocer sells melons at a profit of 37.5% on price he pays for it.What is the ratio of cost price to selling price
gavmur [86]
S-selling price
c-cost price
p-profit
p=37,5%
\frac{s-c}{s}*100%=37,5%  /:100%
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5 0
2 years ago
Which sequence of transformations produces R'S'T' from RST? On a coordinate plane, triangle R S T has points (0, 0), (negative 2
arsen [322]

Answer:

Step-by-step explanation:

Given is a triangle RST and another triangle R'S'T' tranformed from RST

Vertices of RST are (0, 0), (negative 2, 3), (negative 3, 1).

Vertices of R'S'T' are  (2, 0), (0, negative 3), (negative 1, negative 1).

Comparing the corresponding vertices we find that x coordinate increased by 2 while y coordinate got the different sign.

This indicates that there is both reflection and transformation horizontally to the right by 2 units

So first shifted right by 2 units so that vertices became

(2,0) (0,3) (-1,1)

Now reflected on the line y=0 i.e. x axis

New vertices are

(2,0) (0,-3) (-1,-1)

8 0
2 years ago
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. Did they run at the
Goshia [24]

Answer:

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

They did not run at same speed

Step-by-step explanation:

formula of speed = distance covered/ time taken

For Andre

Distance = 2 KM

time = 15 mins

60 mins = 1 hour

15 mins = 1/60 * 15 hour = 0.25 hours

thus,

speed = 2km/0.25 hour = 8 km per hour

Similarly for Jada

Distance = 3 KM

time = 20 mins

60 mins = 1 hour

20 mins = 1/60 * 20 hour = 1/3 hours

thus,

speed = 2km/(1/3)hour = 6  km per hour

Now we have

speed of Jada = 6km per hour which is not equal to

speed of Andre = 8km per hour

6 0
2 years ago
Ellie has a delivery van which she is going to deliver boxes each box is a cuboid brain.ly 45cm by 40cm by 35cm the space in the
jek_recluse [69]

Answer:

It will take Ellie 64 minutes to put as many boxes as possible.

Step-by-step explanation:

Let us work with meters.

The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( <em>to convert from centimeters to meters we just divide by 100, because 1m =100cm).</em> therefore the volume of each box is:

<em>V_{box}=0.45m*0.40m*0.35m=0.063m^3</em>

Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume V_{van} is:

V_{van}=3.6m*1.6m*2.1m=12.096m^3.

So the amount of boxes that Ellie can put in the van is equal to the volume of the van V_{van} divided by the volume V_{box} of each box:

\frac{V_{van}}{V_{box}} =\frac{12.096}{0.063}=\boxed{192\:boxes }

So 192 boxes can be put into the van.

Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:

\frac{192boxes}{3boxes/minute} =\boxed{64\:minutes}

So it takes Ellie 64 minutes to put as many boxes into the van as she can.

4 0
2 years ago
For each of the following, decide if the given series is a geometric series. A. 5+25x+125x2+625x3+3125x4+⋯ : Is this a geometric
Westkost [7]

Answer:

A. Yes.

B. Yes.

C. No.

Step-by-step explanation:

A. Yes. The sum of the series, 5 + 25x + 125x^{2} + 625x^{3} + 3125x^{4} + ........... is the sum of a geometric series.

The first term of the series a_n = 5.

The common ration or the ratio between successive terms (r) = \frac{25x}{5} = 5x (Answer)

B. Yes. The sum of the series, 5x^{7} + 5x^{8} + 5x^{9} + 5x^{10} + ............ is also the sum of a geometric series.

The first term of the series a_n = 5x^{7}.

The common ration or the ratio between successive terms (r) = \frac{5x^{8} }{5x^{7} } = x (Answer)

C. No. The sum of the series, 5 + 5x + 5x^{2} + 5x^{4} + 5x^{8} + ........... is not the sum of a geometric series.

The first term of the series a_n = 5.

(Answer)

5 0
2 years ago
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