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sp2606 [1]
3 years ago
6

The image of the polygon ABCDE reflected across the x-axis. A(-1,-1),B(0,1),C(4,2),D(6,0),E(3,-3) The vertices of the image are.

...?
Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

A reflection across the x-axis has the rule:

(x,y)→(x,-y).

Then:

  • A(-1,-1)→A'(-1,1),
  • B(0,1)→B'(0,-1),
  • C(4,2)→C'(4,-2),
  • D(6,0)→D'(6,0),
  • E(3,-3)→E'(3,3).

Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).

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Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions
jasenka [17]

Answer:

Option A.  356 gidgets

Step-by-step explanation:

we have

R(x) ----> the monthly revenue function

C(x) ---> the monthly cost function

x ----> the number of gidgets sold

R(x)=16x

C(x)=12x+1,424

we know that

Break-even means that the revenue equals cost

so

16x=12x+1,424

solve for x

16x-12x=1,424

4x=1,424

x=356\ gidgets

3 0
3 years ago
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Which three types of transformations result in congruent shapes?
Aleks [24]

Answer:

There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent

6 0
3 years ago
Circumference of a circle given the radius or diameter? explain why or why not
jek_recluse [69]

Answer: The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

The formula for calculating the radius is different from calculating the diameter

Find radius

r= diameter/ 2

Radius is half of a diameter

While diameter is

d=2r

Step-by-step explanation:

6 0
2 years ago
Adam uses coconut milk for the dessert.
VARVARA [1.3K]
Since we are already given the formula and all the information, the only thing that we have to do is input all the values and simplify until we get an answer. In addition, we must also note that the radius is 4 (because the diameter is equal to twice the radius, meaning that if the diameter is 8, the radius is 4). Using the formula and information given, we get:

Volume = 3 * (4)² * 12

Which simplifies to:

Volume = 3 * 16 * 12
Volume = 576

Now, we need to know the units. Since this is a 3d shape, and the unit for the lengths of the sides are centimeters, this answer will be in centimeters cubed. That means our answer is 576 centimeters cubed. 
4 0
3 years ago
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Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
maks197457 [2]
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =

[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.

g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =

[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.

So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
5 0
2 years ago
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