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3 years ago

Triangle ABC is dilated from point O. What is the scale factor if |OA| = 2 and |OA’| = 7?

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

5 0

Answer:

Answer of this question is 3.5.

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A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di

Marizza181 [45]

Answer:

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

$G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]$ (1)

Where:

$G(x,y)$ - Coordinates of the point G, dimensionless.

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$G'(x,y)$ - Coordinates of the point G', dimensionless.

If we know that $O(x,y) = (0,0)$ , $G(x,y) =(2,-2)$ and $G'(x,y) =(5,-5)$ , then scale factor is:

$(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]$

$(5,-5) = (2\cdot k, -2\cdot k)$

$k = \frac{5}{2}$

The dilation on any point of the rectangle is:

$P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]$

$P'(x,y) = \frac{5}{2}\cdot P(x,y)$ (2)

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

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3 years ago

NNNNNNOOOOOOO LLLLLLIIIIINNNNKKKKKSSSSS For each inequality is x=5 a solution??

Maru [420]

Answer:

Step-by-step explanation:

replace x in each problem with 5 since x equals 5.

5<2 ,, false

5>9 ,, false

5<18,, true

5>42,, false

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3 years ago

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Lisa wants to study five hours for the spelling bee if she studies one third hour per night how many nights will she have to stu

Xelga [282]

You have to divide 5 hours by 1/3 hours because you are finding out how many 1/3's you need to get 5.
5 / 1/3
You then have to do copy, dot, flop
5 x 3/1
and multiply to get
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3 years ago

If a line includes the points (8,0) and (20,12). What is its equation in slope-intercept form?

aev [14]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

substitute the coordinates of the points (8, 0) and (20, 12) to the formula:

$m=\dfrac{12-0}{20-8}=\dfrac{12}{12}=1$

y = 1x + b = x + b

Put the coordinates of the point (8, 0) to the equation of a line:

0 = 8 + b <em>subtract 8 from both sides</em>

-8 = b

<h3>Answer: y = x - 8</h3>

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4 years ago

Helppp if anyone knows please!!! Thanksss

ioda

W is the person's weight before gaining
w + 23 = 165

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4 years ago

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