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3 years ago

Given that g(x)=x2 - 2x - 7. find (g 0 g)(-3)(g 0 g)(-3) =(Simplify your answer.)

Mathematics

1 answer:

Andrej [43]3 years ago

7 0

Answer:

Step-by-step explanation:

Substitute x = 3 into g(x) then substitute the value obtained into g(x)

g(- 3) = (- 3)² - 2(- 3) - 7 = 9 + 6 - 7 = 8

g(8) = 8² - 2(8) - 7 = 64 - 16 - 7 = 41

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The vertices of ΔABC are A(−3,4), B(−2,4), and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image ΔA'B'C

Mumz [18]

The coordinates of vertex B' is $P'(x,y) = (-2, -8)$ .

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line $y = -2$ by means of the following formula:

$P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)]$ (1)

Where:

$P(x,y)$ - Original point
$x_{P}$ - x-Coordinate of point P
$P'(x,y)$ - Resulting point

If we know that $P(x,y) = (-2,4)$ and $x_{P} = -2$ , then the coordinates of the vertex is:

$P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]$

$P'(x,y) = (-2, 4) +2\cdot (0, -6)$

$P'(x,y) = (-2, 4) + (0,-12)$

$P'(x,y) = (-2, -8)$

The coordinates of vertex B' is $P'(x,y) = (-2, -8)$ . $\blacksquare$

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

3 0

2 years ago

What is the domain of y=log4(x+3)

algol [13]

All real numbers greater than -3

7 0

3 years ago

Read 2 more answers

3. Given: Circle Q <A = 35 Find: m AB

Agata [3.3K]

Answer: 110°

Step-by-step explanation:

∠A ≅ ∠B

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

70° + ∠Q = 180°

∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

5 0

3 years ago

Question 6 of 10

Maksim231197 [3]

Answer:

(2.5 , 3.5)

Step-by-step explanation:

We can use the midpoint formula . Here the points are , (2,2) and (3,5) .

• Using Midpoint Formula :-

⇒ M = { (x1 + x2)/2 , (y1 + y2)/2 }

⇒ M = ( 2+3/2 , 5+2/2 )

⇒ M = ( 5/2 , 7/2 )

⇒ M = ( 2.5 , 3.5 )

<h3>Hence the midpoint is (2.5 , 3.5)</h3>

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3 years ago

Luca made a scale drawing of the auditorium. in real life, the stage is 45 feet long. it is 18

ollegr [7]

Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30

8 0

2 years ago

Given that g(x)=x2 - 2x - 7. find (g 0 g)(-3)(g 0 g)(-3) =(Simplify your answer.)​

Given that g(x)=x2 - 2x - 7. find (g 0 g)(-3)(g 0 g)(-3) =(Simplify your answer.)