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____ [38]
3 years ago
11

Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-1, 7), B’(-1, 1), a

nd C’(2, 3). How is the triangle translated?
Triangle ABC is translated 3 units left and 2 units down.

Triangle ABC is translated 2 units left and 3 units down.

Triangle ABC is translated 2 units right and 3 units up.

Triangle ABC is translated 3 units right and 2 units up.
Mathematics
1 answer:
astraxan [27]3 years ago
7 0
Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7) 
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7
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Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?
Lena [83]

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

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3 years ago
Which of the options represents the resulting equation after an equivalent expression for y is substituted into the second equat
Nina [5.8K]

Answer:

Correct choice is D

Step-by-step explanation:

Given the system of two equations:

\left\{\begin{array}{l}4x+y=8\\6x-9y=12\end{array}\right..

Fro mthe first equation

y=8-4x.

Substitute into the second equation 8-4x instead of y:

6x-9(8-4x)=12.

Note that 8-4x=-4x+8, then the second equation will take look

6x-9(-4x+8)=12.

6 0
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labwork [276]
<span>In this case, every bottle has 500 mg of caffeine with a standard deviation of 25 mg. The equation of a bottle will be: 500 +/- 25mg caffeine per bottle.

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Gabrielle's age is 3x (in which x is mikhail's age)
the sum is 56 so 3x+x=56

3x+x=56
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I am pretty sure it is 180 degrees
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