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3 years ago

For ΔABC, which transformation composition is COMMUTATIVE?

Mathematics

2 answers:

liq [111]3 years ago

4 0

Commutative transformation is type of transformation in which the order of operations doesn't affect the result of transformation.
The only commutative transformation is D.

vladimir2022 [97]3 years ago

3 0

Answer:

<h3>option: D.</h3>

Step-by-step explanation:

We are asked which transformation composition is COMMUTATIVE i.e. <em>we are asked to find that the resultant figure is independent of the operations applied to it in any order.</em>

Also we know that translation and rotation together are not commutative hence, A and B options are incorrect.

Also rotation and reflection applied to a figure are not commutative.

But a pair of reflection applied to a figure will be commutative

Hence, option: D is correct. (reflect across the y-axis and then reflect across the x-axis.)

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Answer: change over time
Explanation: it is decreasing in height therefore is decreasing in altitude

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2 years ago

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Ludmilka [50]

Answer:

The height of the lamp post is 15 feet ⇒ 1st answer

Step-by-step explanation:

The ladder , the lamp post and the ground formed a right triangle, the length of the ladder is its hypotenuse (l), the height of the lamp post (h) and the horizontal distance on the ground between the base of the ladder and the base of the lamp post (d) are the legs of the triangle

By using Pythagoras Theorem ⇒ <em>the square of the hypotenuse is equal to the sum of the squares of the other two legs</em>

∵ l² = h² + d²

∵ The length of the ladder is 25 feet

∴ l = 25

∵ The ladder is placed 20 feet from the lamp post

- That means the distance between the base of the ladder and

the base of the lamp post on the ground

∴ d = 20

- Substitute the values of l and d in the Pythagoras formula

∵ (25)² = h² + (20)²

∴ 625 = h² + 400

- Subtract 400 from both sides

∴ 225 = h²

- Take √ for both sides

∴ 15 = h

∴ The height of the lamp post is 15 feet

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3 years ago

What is the slope of the line that passes through the points (-8,-1) and (-12,-2) ?

kramer

Answer:

1/3

Step-by-step explanation:

To find the slope subtract the second y-coordinate from the first y-coordinate and divide it by the result of the second x-coordinate from the first.

-2 - -1 = -1

-12 - -8= -3

-1/-3 = 1/3

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3 years ago

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An object is thrown upward from the top of a 48-foot building with an initial velocity of 32 feetquadratic equation h = - 16t^2+

Alex17521 [72]

SOLUTION

The object would hit the ground at the root of the equation, that is where h = 0

So we have

$\begin{gathered} h=-16t^2+32t+48=0 \\ -16t^2+32t+48=0 \\ 16t^2-32t-48=0 \\ divide\text{ through by 16} \\ t^2-2t-3=0 \end{gathered}$

Solving the quadratic equation, we have

$\begin{gathered} t^2-3t+t-3=0 \\ t(t-3)+1(t-3)=0 \\ (t-3)(t+1)=0 \\ t=3,\text{ or} \\ t=-1 \end{gathered}$

So we ignore -1 as time cannot be negative.

Hence the object hit the ground in 3 seconds

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1 year ago

Joseph, después de hacer compras, piensa de la siguiente forma: "Gasté los 3/5 de lo que no gasté y aún me quedan S/. 60 más de

earnstyle [38]

Answer:

Joseph tenía 240 soles

Step-by-step explanation:

Tenemos lo siguiente

Cantidad total = Cantidad gastada + Cantidad restante.

Sabemos que Cantidad gastada = 3/5 Cantidad restante y que Cantidad restante = Cantidad gastada + 60.

Sea x la cantidad gastada e y la cantidad restante. Tenemos las ecuaciones

$x = \frac{3}{5}y, y = x+60$

Reemplazando la segunda en la primera, tenemos que

$x = \frac{3}{5}(x+60)= \frac{3}{5}x + 36$ (aquí simplemente distribuímos la multiplicación.

Restando 3/5 x a ambos lados, tenemos que

$x-\frac{3}{5}x = \frac{2}{5}x = 36$

Multiplicando por 5 y dividiendo por dos ambos lados, tenemos que

$x=\frac{5\cdot 36}{2} = 90$

Es decir, Joseph gastó 90 soles. Entonces y = 90+60 = 150 soles.

Es decir, en total, Joseph tenía 150+90= 240 soles.

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3 years ago