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3 years ago

Factor each expression 45c + 10d

1 answer:

5 0

The greatest common factor of 45 and 10 is 5
The value 5 is the largest factor shared in common between 45 and 10

We can factor each monomial as follows
45c = 5*9c
10d = 5*2d

Which allows us to say
45c + 10d = 5*9c +5*2d
45c + 10d = 5*(9c+2d)
Notice how I used the distributive property in reverse. If we distribute the 5 back in, we get 45c+10d again

Answer: 5(9c+2d)

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6-2 = 4

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2 years ago

Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe

satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

$=0.79\times0.21\times0.79\\=0.131061\\\approx0.1311$

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

$=0.79\times0.79\times0.21\\=0.131061\\\approx0.1311$

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

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4 years ago

Volume of a l=10 x w=10 x h=8in triangular prism

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2 years ago

If 12 baseballs weigh 40 ounces, how much will 30 baseballs weigh

svet-max [94.6K]

Answer:

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3 years ago

PLEASEE help I’m really confused

maksim [4K]

Answer:

$\frac{13}{\sqrt5}$

Step-by-step explanation:

To get the shortest distance from a point to a line, we need to find a perpendicular line that intersects the line and also intersects the line. We know the slope of the line will be 1/2, but to find the y-intercept, we can just plug it into the point because we already know it will be on the line.

-3 = 1/2(-2)+c

-3 = -1+c

-2 = c

Now, we know the slope and the y-intercept, and since it will intersect the other line, we can set it equal to the other lines formula:

1/2x-2 = -2x+6

5/2x=8

x=16/5

Now, plugging this value of x into any of the equations, we can find the y-coordinate:

16/5(1/2)-2 = -2/5

We have the point (16/5, -2/5)

Now, we need to find the distance between (-2, -3) and (16/5, -2/5)

Plugging into distance formula:

$\sqrt{(-2 - \frac{16}{5})^2+(-3-(-\frac{2}{5}))^2}\\= \sqrt{(-5.2)^2+(-2.6)^2}\\= \sqrt{33.8}$

= $=\frac{13}{\sqrt5}$

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3 years ago

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