Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?

90 degree rotation about point 0 composition reflection across the x-axis
Reflection across the x-axis composition 90 degree rotation about point 0
180 degree rotation about point 0 composition reflection across the x-axis
Reflection across the x-axis composition 180 degree rotation about point 0

To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3

Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.

y=3x+b

2=3*(3)+b

2=9+b

-7=b  So now we know the y-intercept and slope. We just put them together now

y=3x-7

Answer:

8 and 5/8 miles

Step-by-step explanation:

Answer: The polynomial is 92 - 46t

92,92,-46,46

Step-by-step explanation:

The polynomial represent the heights (in feet) of the balls after t seconds is : -46t+92

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

The motion of both balls is a free-fall motion which means that the ball is acted upon the force of gravity only.

Therefore, the motion of the ball is a uniformly accelerated motion, with constant acceleration equal to the acceleration of gravity:

g = 32 ft / sec sq.

The ball which is thrown upward from the ground instead is fired with an initial vertical velocity , and its starting height is zero, so its position at time t is given as;

h(t) = ut - 1/2 gt²

Therefore, the polynomial that represents the distance between the two balls is -46t+92

Learn more about polynomials here:

https://brainly.com/question/27343162

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Answer:

D) The circle is centred at (-8,3) and has a diameter 20

Step-by-step explanation:

Explanation:-

Given that the circle

        ( x + 8)² +( y-3)² = 100

   ⇒ ( x + 8)² +( y-3)² = 10²

Standard form of the circle ( x-h)² +(y-k)² = r²

Centre of the circle (h , k) = (-8 , 3)

Radius of the circle  r = 10

Diameter of the circle 'd' = 2r = 2(10) =20

Final answer:-

The circle is centred at (-8,3) and has a diameter 20

Answer:

The circle is centered at (−8, 3) and has a diameter of 20.

Step-by-step explanation:

Hope this helps :)

Answer:

The last one t/5-6=-3

Step-by-step explanation:

All you have to do is plug in 15 to each equation, knowing this if you add 15 into this equation you would get 15/5-6=-3 and this is true because 15/5=3, 3-6=-3!

I hope this helps and have a great day!

Answer:

x = 0 and 5

Step-by-step explanation:

4x^2 - 20x = 0

Factor 4x

4x(x - 5) = 0

4x = 0 = > x = 0

x- 5 = 0 = > x = 5

Answer:

2e-11

Step-by-step explanation:

Answer:

110/8  13.75  for 1 litres 13.75*20 275

 it travels 275 km on 20 litres

Answer:

148 books

Step-by-step explanation:

Answer:

148 books all together

Answer:

14 in

Step-by-step explanation:

4+12+4+4+4=28/2= 14

Answer:

8. 7x/2 + 2

9. 4y + 2

10. 7x

11. 6y

Step-by-step explanation:

There i did it all.

Answer:

x+11/x+9

Step-by-step explanation:

Just Cancel the common factor of x-4

Step-by-step explanation:

area of square= a^2

[tex]90 = {a}^{2} \\ a = \sqrt{90} \\ a = 9.48683298 \\ a= 9.5[/tex]

Answer:

$60.

Step-by-step explanation:

Cost price=  $50

Selling price = $80

Percentage markup = Gain/Cost price x   100%

=30/50x100

=$60.

Answer:

True

Step-by-step explanation:

Four-sided polygons are usually referred to as quadrilaterals, quadrangles or sometimes tetragons. In geometry the term quadrilateral is commonly used.

Answer: True

Step-by-step explanation: :D

Answer:

10

Step-by-step explanation:

8² = 64

6² = 36

64 + 36 = 100

√100 = 10

Answer: D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}

Step-by-step explanation:

In (x,y)  , x= Input value , y= output value.

A. {(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (-1,9)}

Here, -1 has two output values -4 and 0.

So it is not a function.

B. (-2, - 4), (-1,7), (1, - 1), (1, 1), (3,9)}

Here, 1 has two output values -1 and 1.

So it is not a function.

C. {(-4,9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6) }

Here, -2 has two output values 3 and 12.

So it is not a function.

D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}

here, each input value has an unique output value.

Hence, D. option is correct.

Answer:

p=4.69

Step-by-step explanation:

Move all terms not containing

p

to the right side of the equation.

Answer: p=4.69

Step-by-step explanation:

Step 1: Add 5.89 to both sides.

p−5.89+5.89=−1.2+5.89

p=4.69

Answer:

105 degerees

Step-by-step explanation:

Answer:

D) 60°

Step-by-step explanation:

360-40-105-155=60°

Answer:

2 miles

Step-by-step explanation:

1 in=4miles

0.5 in=2miles

so divide by two on each side

Answer:

250

Step-by-step explanation:

15=6%

?=1%

15/6=2.5

2.5=1%

1%=1/100

2.5 x 100=

250

Answer:

If you know that Angle X and Angle Y are complementary angles, X+Y = 90

Then we translate the sentence "angle x is 8 times larger than angle Y" into mathematical terms.  is means equal, and 8 times means multiplication.  This gives us our second equation

X = 8Y  

We then use the property of substitution to combine the equations into a solvable system.  if X = 8Y and X + Y = 90, we can say that 8Y + Y = 90.  

combining like terms, we have 9Y = 90.  Y then equals 10.  

We then substitute back into the original X = 8Y to get X = 8*10.  X = 80.

The final answer is X = 80 degrees and Y equals 10 degrees

Step-by-step explanation:

Answer: 2005

Step-by-step explanation:

Exponential function to determine the value of item after t years,

[tex]f(x)=A(1+r)^t[/tex] , where r= rate of growth, A=Initial value.

As per given , A = 7.85% = 0.0785

A = $125,000

Substitute all values in function, we get

[tex]f(x)=125000(1+0.785)^t[/tex]

When f(x)= 3A , then

[tex]3A=A(1.0785)^t\\\\\Rightarrow\ 3=(1.0785)^t[/tex]

Taking tog on both sides , we get

[tex]\ln 3=t\ln 1.0785\\\\\Rightarrow\ t=\dfrac{\ln 3}{\ln 1.0785}\\\\\Rightarrow t=\dfrac{1.09861228867}{0.0755711868471}\approx15[/tex]

The year will be 1990+15= 2005

Hence, the required year = 2005

Answer:

[tex]w \le \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]9-2w \le 11-10w[/tex]

Required

Solve

[tex]9-2w \le 11-10w[/tex]

Collect like terms

[tex]-2w + 10w \le 11 - 9[/tex]

[tex]8w \le 2[/tex]

Make w the subject

[tex]w \le \frac{2}{8}[/tex]

[tex]w \le \frac{1}{4}[/tex]