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nlexa [21]
3 years ago
8

A line segment with endpoints A(-4, 3, 2) and B(5, -6, -1) is translated first two units back and 3 units right and 1 unit up th

e image is then translated 7 units to the left
what are the coordinates of B

A. (3, 4, 0)

B. (3, -10, 0)

C. (5, -6, -1)

D. (-4, -10, -7)
Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:

Option B. (3,-10,0) is the right answer.

Step-by-step explanation:

In these questions we should always remember x-axis represents a line in front of us, y-axis represents a line horizontally perpendicular to the line representing x-axis and Z- axis is vertically perpendicular to the x and y- axis.

So shifting front or back means it's a change on x- axis coordinates, shifting right or left means translated on y-axis and moving up and down means translated on z- axis.

Now point for B(5, -6, -1)  

x- axis -- 5 - 2 (shifted 2 units back means moved back on x-axis)

y- axis -- (-6) + 3 (shifted 3 units right means right movement on y-axis)

z-axis -- (-1) + 1 ( shifted 1 unit up means increase in z coordinate)

So the new endpoint will be B'(2, -3, 0)

Now as per question image is further translated 7 units left that means

y-axis -- -3 + (-7) (shifted 7 to the left on y axis)

Therefore new end point will be (3, -10, 0).

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A package of 6 pairs of insulated gloves costs ​$51.54. What is the unit price of the pairs of gloves ​?
mafiozo [28]

Answer:

$8.59

Step-by-step explanation:

The unit price is just asking for what one pair of gloves cost.

\$ 51.54 \div6=\$8.59

∴The unit price of the pairs of gloves is $8.59

Hope this helps!

6 0
2 years ago
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When the town of Manning first started its voluntary recycling program, 2500 of the town's residence participated. The town pred
Paraphin [41]
Answer: The correct answer is Choice D.

This is an example of an exponential equation. They are in the form of y=ab^x, where a is the starting value, b is the rate and x is the number of years.

Our data starts at 2500 and increases by 5%, or 100% + 5% = 1.05.

If you put them together, you have the equation y = 2500(1.05)^x, Choice D.
3 0
2 years ago
Determine whether this statement is true or false. if two lines have the same slope, their equations describe the same line.
maksim [4K]

Answer:

False

Step-by-step explanation:

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If two lines have the same gradient their equations won't usually describe the same line because their 'y intercepts' will be different (the point in which the line crosses the y axis)

8 0
3 years ago
Pls help me with number 6 and 7 choose 2 answers for number 6 and 3 for 7 !! ILL MARK BRAINLIST !!
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5 0
3 years ago
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4
Ad libitum [116K]

The transformation of a function may involve any change. The correct option is D.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
  • Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

  • Up by d units: y = f(x) + d
  • Down by d units: y = f(x) - d

Stretching:

  • Vertical stretch by a factor k: y = k \times f(x)
  • Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

Given the function f(x)=2ˣ, while the h(x)=-3(2ˣ), therefore, the function f(x) is a reflection and a translation of a function. Hence, the correct option is D.

Learn more about Transforming functions:

brainly.com/question/17006186

#SPJ1

4 0
2 years ago
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