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IgorC [24]
2 years ago
11

Monique is planning the locations for three exhibit areas at the festival. She drew a model of one of the exhibit areas as shown

on the coordinate grid below. To determine the location of the second exhibit area, she will reflect the first area across the dashed line. To determine the location of the third exhibit area, she will translate the second area (x,y)→(x+1,y+6)
Mathematics
1 answer:
WITCHER [35]2 years ago
7 0

The second area was translated 1 unit right and 6 units down to form the third exhibit area.

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Translation is the movement of a point either up, down, left or right.

Given the translation (x,y)→(x+1,y+6). Hence:

The second area was translated 1 unit right and 6 units down to form the third exhibit area.

Find out more on Transformation at: brainly.com/question/1462871

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Find the measure of each acute angle.
miss Akunina [59]

Answer:

the top angle is 48

the bottom right  angle is 42

Step-by-step explanation:

The sum of the angles of a triangle is 180

90 + 8x+7x = 180

Combine like terms

90 +15x = 180

Subtract 90 from each side

15x = 180-90

15x = 90

Divide by 15

15x/15 =90/15

x = 6

8x = 8*6 = 48  so the top angle is 48

7x = 7*6 = 42 so the bottom angle is 42

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3 years ago
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You ride your bike 14.25 miles in 90 minutes how far can you go in 2 hours
Zarrin [17]
25.26 miles


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Simplify the rational expressions. X^2 - 16/ X^2 + 6x + 8
Yuki888 [10]

Answer:

\large\boxed{\dfrac{x-4}{x+2}}

Step-by-step explanation:

\dfrac{x^2-16}{x^2+6x+8}=\dfrac{x^2-4^2}{x^2+4x+2x+8}\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{(x-4)(x+4)}{x(x+4)+2(x+4)}=\dfrac{(x-4)(x+4)}{(x+4)(x+2)}\qquad\text{cancel}\ (x+4)\\\\=\dfrac{x-4}{x+2}

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Solve the equation x to the second power - 13x to the third power + 47x -35=0 given that 1 is a zero of f(x) = x to the third po
zloy xaker [14]

Answer:

The solution sets are 1, 5 and 7

Step-by-step explanation:

Given the polynomial function,

f(x) = x³-13x²+47x-35

If 1 is a zero function of f(x), according to factor theorem, the linear equation x-1 is a factor of the polynomial.

To get the other solution set, we will have to divide the polynomial function by x-1 and factorize the quotient function.

Factorising the resulting quotient function.

Q(x) = x²-12x+35 = 0

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6 0
3 years ago
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