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2 years ago

Gregory knows that Triangle A B C is reflected onto Triangle A prime B prime C prime. Which statement about the figures is true?

1 answer:

5 0

Answer: if Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.

Explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

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Answer:

1024

Step-by-step explanation:

4*4*4*4*4

i mean you couldve used a calculator

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Write the following numbers in increasing order: −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2

Pani-rosa [81]

Answer:

-12,-10,-3,-1.4,-1,0.25,2,5.2,12

Step-by-step explanation:

The following number −1.4; 2; −3 1 2 ; −1; − 1 2 ; 0.25; −10; 5.2 in increasing order

-12,-10,-3,-1.4,-1,0.25,2,5.2,12

It's arranged this way starting from the negative sign because positive it's greater than negative and if the negative gets to approach zero it's get smaller

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2 years ago

For the polynomial function ƒ(x) = x4 − 12x3 + 46x2 − 60x + 25, find all local and global extrema.

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$\bf f(x)=x^4-12x^3+46x^2-60x+25\\\\
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\cfrac{df}{dx}=4x^3-36x^2+92x-60\implies 0=4x^3-36x^2+92x-60
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0=x^3-9x^2+23x-15\impliedby \textit{doing some synthetic division with 5}
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0=(x^2-4x+3)(x-5)\implies 0=(x-3)(x-1)(x-5)\\\\
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\begin{cases}
f(1)=0\leftarrow minimum&1,0\\
f(3)=16\leftarrow maximum&3,16\\
f(5)=0\leftarrow minimum&5,0
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2 years ago

Susan Marciano invested part of her $37,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered

Bad White [126]

Answer:

The amount invested in funds that earned 12% profit is 31000

The amount invested in stock that suffered 5% loss is 6,000.

Step-by-step explanation:

Let x be the amount invested in funds that earned 12%.

Then the amount invested in stock that suffered 5% loss is 37000 - x.

The profit from investment in funds is = 12% of x

= 0.12·x

The loss from investment in stock is = 5% of (37000 - x)

= 0.05 × (37000 - x)

The net profit is 0.12·x - 0.05 × (37000 - x)

As the net profit given in the problem is $3420, we have :

0.12·x - 0.05 × (37000 - x) = 3420

Solving for x, we have :

12·x - 5 × (37000 - x) = 342000 (multiply both sides by 100)

12·x - 185000 + 5·x = 342000

17·x = 527000

⇒ x = 31000

Hence, The amount invested in funds that earned 12% profit is 31000 and the amount invested in stock that suffered 5% loss is 37000 - x = 37000 - 31000 = 6,000.

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3 years ago

A toy box has 6 faces.There are square there are 12 edges and 8 vertices.Identify the shape of the toy box.

xxTIMURxx [149]

Answer:

A cube or a cuboid.

Step-by-step explanation:

A cube or a cuboid is a three dimensional shape that has

12 edges, 8 corners or vertices, and 6 faces.

The difference between a cube and cuboid is that a cube has all edges equal which makes every face a square while a cuboid has two square faces and four rectangular faces.

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2 years ago