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3 years ago

Describe the congruence transformation that maps ΔABC onto ΔA′B′C′ in the given figure. Question 9 options:

Mathematics

1 answer:

hodyreva [135]3 years ago

3 0

Answer:

B) Reflection along y-axis; Translation: (x, y) → (x, y – 3)

Step-by-step explanation:

A transformation is the movement of a point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are dilatation, rotation, reflection and translation.

The point of triangle ABC are A(-4, 4), B(-7, 1) and C(-3, -2) while for triangle A'B'Ç' is at A'(4, 1), B'(7, -2) and C'(3, -5)

If a point C(x, y) is reflected along y axis, the y coordinates is the same and the x coordinate is opposite (negated), i.e C'(-x, y). If a point C(x, y) is translated 3 units down, the new point is (x, y - 3).

ΔABC transformation to ΔA'B'C', the x coordinate is opposite and the y coordinate is 3 units downward, therefore this is a Reflection along y-axis; Translation: (x, y) → (x, y – 3)

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Hope someone can solve it quick.

Dmitry [639]

Answer:

Step-by-step explanation:Weathering is the breaking down or dissolving of rocks and minerals on Earths surface. ... Weathering describes the breaking down or dissolving of rocks and minerals on the surface of the Earth. Water, ice, acids, salts, plants, animals, and changes in temperature are all agents of weathering.

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2 years ago

This equation is an example of:

mariarad [96]

Answer:

B. FOIL

Step-by-step explanation:

FOIL stands for Firsts, Outsides, Insides, and Lasts

This is a mnemonic to help you to remember how to multiply two binomials

From the image, we can see that the on the right side of the equals,

$(x)(-5x^2)$ is the product of the firsts of the binomials

$(x)(x)$ is the product of the outsides of the binomials

$(-2)(-5x^2)$ is the product of the insides of the binomials

$(-2)(x)$ is the product of the lasts of the binomials.

4 0

3 years ago

Read 2 more answers

An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes?

malfutka [58]

Answer:

$150$ potatoes

Step-by-step explanation:

Since the assistant can peel $18$ potatoes in $6$ minutes, we know that he can peel $\frac{18}{6}=3$ potatoes in $1$ minute. Therefore, he will be able to peel $3*50=150$ potatoes in $50$ minutes. Hope this helps!

7 0

3 years ago

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Please Help Me! I will give all my point to who ever answers my question!!!

love history [14]

Step-by-step explanation:

The equation that is given is only for the specific place of that object. To find the velocity, you need to take the derivative of the equation. This will give you:

$V=2+\frac{1}{2} t$

Now, to find the average velocity of this object, plug in the values given to you. It's between the time interval [1, 2] so these are the two numbers you'll plug into the velocity equation. Finding this average is like finding any other average.

$V(1)=2+\frac{1}{2} (1)\\V(1)=2+\frac{1}{2}=\frac{5}{2}\\V(2)=2+\frac{1}{2}(2)\\V(2)=2+1=3$

$V_{avg}=\frac{3-\frac{5}{2} }{2-1} \\V_{avg}=\frac{\frac{6}{2}-\frac{5}{2} }{1} \\V_{avg}=\frac{1}{2}$

Average velocity is 0.5 sec

To find instantaneous velocity just find the velocity at time one. Think about the name "instantaneous velocity," it's the velocity in that instant.

We already found this, so I don't need more work (it's displayed above).

The instantaneous velocity when $t=1$ is 2.5 sec.

3 0

3 years ago

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Zinaida [17]

2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)

7 0

2 years ago

Read 2 more answers