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3 years ago

Find the distance between the points given. (2, 2) and (5, 5)

1 answer:

7 0

Distance between two points, d, is given by
$d= \sqrt{ ( x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }
$
where: (x1, y1) = (2, 2) and (x2, y2) = (5, 5)
$d= 
\sqrt{ ( 5 - 2) ^{2} + (5 - 2) ^{2} } \\ d= \sqrt{ (3)^{2} + 3^{2} } 
\\ d= \sqrt{9+9} \\ d= \sqrt{18} \\ d=3\sqrt{2} \ units$

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Which equation could represent the relationship shown in the scatter plot?

KonstantinChe [14]

Choice D : look at where you think the line would be if it followed the direction of the data so that about half of the points fell above the line and half below. The two most important things to note are the slope of the line and y intercept.
This is a negative relationship as the line falls as you read it from left to right. That eliminates choice C. Next, it appears the line of best fit would have a y intercept around 10 on the y axis and then fall down and to the right cutting the data. Note that choices A and B have y intercepts that don't make sense for the data. Choice D does have a y intercept of 10 and a negative slope.

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For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050

lana66690 [7]

Answer:

2005

Step-by-step explanation:

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2 years ago

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The correct answer is -2
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3 years ago

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2

ollegr [7]

Answer:

$2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = $2x^2-16$ and breadth = $-x^2+4x+1$

Thus, perimeter of rectangle = $2(2x^2-16+(-x^2+4x+1))$

$=2(2x^2-16-x^2+4x+1)$

$=2(x^2+4x-15)$

$=2x^2+8x-30$

Thus, perimeter of rectangle is $2x^2+8x-30$ ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

$2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12$

Thus, $2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

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3 years ago

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There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the

emmasim [6.3K]

To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.

At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
at x = 3 y = 567 - 567(1/3)(1/3)(1/3)

Therefore, the number of people left after x songs would be represented by the equation:

y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )

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3 years ago

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