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solong [7]
2 years ago
15

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2

– 17x – 36. 2x2 – 9x x2 6x – 24 x2 – 2x – 9 –4x2 8x 36
Mathematics
1 answer:
IRINA_888 [86]2 years ago
6 0

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

Learn more about Synthetic Division:

brainly.com/question/14645972

#SPJ4

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The graph of a line has a slope of -3 and passes through the point (-6,-4).
prohojiy [21]

Answer:

(A) y+4=-3(x+6)

Step-by-step explanation:

The point-slope form of the equation of a line whose slope is m and passes through the point (x_1, y_1) is: y-y_1=m(x-x_1)

Given the point: (x_1, y_1)=(-6,-4)

Slope, m=-3

x_1=-6\\y_1=-4

Substituting these values into:  y-y_1=m(x-x_1), we obtain the point slope form of the equation:

y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)

The correct option is A.

6 0
3 years ago
Show work please thank you
kaheart [24]
The easiest way to solve this is to divide the shape into 2 rectangles.

The first rectangle being the big one on the left with the 12 and 6
and the second one being the little one on the right, next to it with the 5

So 12 x 6 = 72 (dont pay attention to the 7, 5, or 10, because all we need is 1 length and 1 width)

And for the smaller one it is a little bit trickier.

So on the bottom we see that is says 10ft, but we cant use that because what we really need is the measurement between the 5 and 7 on the top of the little rectangle

At the top we see that it says 6ft

We can do 10-6 to find the missing measurement.

Because the length of the whole like is 10, and the length of one of the little lines is 6, so the length of 6 + some number =10

So 10-6 = 4

Which means the number we need is 4

So now we have 5 x 4 = 20

72 + 20 = 92

Answer: 92

I also attatched an image, I hope this helps! Ask me if you have any other questions about this problem!

7 0
3 years ago
Lucy's school is celebrating easter by having a race in which the winner will get a basket of chocolate eggs. lucy is the fiftie
Alja [10]
The question also states that Lucy has a winning probability of 1/50, which means that she has 1 chance of winning if the total runners were 50. Therefore, there are 49 runners who may be faster than her.

The fact that Lucy is the 50th slowest runner, means that starting from the slowest she is in 50th position, therefore there are 49 runners that are slower than her.

The total number of runners will be the sum of those faster than Lucy, those slower than Lucy and Lucy:
49 + 49 + 1 = 99

There are 99 runners in Lucy's school.
7 0
4 years ago
I really really need help with this . No links
Diano4ka-milaya [45]

Answer:

pretty sure its 123

Step-by-step explanation:

3 0
3 years ago
Classify the solid figure.
kap26 [50]
That looks like a rectangular prism
8 0
3 years ago
Read 2 more answers
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