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3 years ago

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ryan is going to make a sculpture from a rectangular block of clay. the volume of the block is (x+8)(x-3)(2x-5). A)the volume is

the product of the area of the base,(x+8)(x-3) and the height, 2x-5. B) the volume is the product

1 answer:

Anna11 [10]3 years ago

6 0

The answer will be a because you’ll multiply what’s in parentheses and then combine like terms

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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4 Write the equation of the parabola in any form. Answer:

Alexeev081 [22]

Answer:

The equation of the parabola in vertex form is $x-6 = \frac{1}{16}\cdot (y-6)^{2}$ .

Step-by-step explanation:

Since the directrix is of the $x = a$ , then the equation of the parabola in vertex form is of the form:

$x-h = \frac{1}{4\cdot p}\cdot (y-k)^{2}$ (1)

Where:

$x$ - Dependent variable.

$y$ - Independent variable.

$p$ - Least distance between focus and directrix.

$h$ , $k$ - Coordinate of the vertex.

The least distance between focus and directrix is determined by Pythagorean Theorem:

$p = \sqrt{(8-4)^{2}+(6-6)^{2}}$

$p = 4$

Now, we determine the location of the vertex by the following vectorial formula:

$(h,k) = F(x,y) - (0.5\cdot p, 0)$ (2)

If we know that $p = 4$ and $F(x,y) = (8,6)$ , then the location of the vertex is:

$(h,k) = (8,6) -(2, 0)$

$(h,k) = (6,6)$

And the equation of the parabola in vertex form is $x-6 = \frac{1}{16}\cdot (y-6)^{2}$ .

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3 years ago

The two solids similar and the ratio between the lengths of their edges is 3:8 whats is the ratio of their surface area

xeze [42]

The answer is 9:64 I just took the quiz on APEX :)

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Derek bought 15 feet of rope for a science project. if he used 10 3/8 feet of the rope, how many feet of rope does he have left

Lubov Fominskaja [6]

Answer:

155.625 or ( 89/160 )

Step-by-step explanation:

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Emma reached into the bag 10 different times, drew a ball, and recorded the numbers. Here are her results.

n200080 [17]

Answer:

<u>The multiples of 3 are:</u>

6, 9, 9

These the 3 out of 10 results.

<u>The probability of selecting a multiple of 3 is:</u>

P = 3/10 as fraction
= 0.3 as decimal
= 30% as percent

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Please help i will give Brainliest

Goshia [24]

Answer:

4^2

Step-by-step explanation:

you subtract the powers from bottom and top

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