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3 years ago

Which value of a would make the following statement true? -3(2x + a) = -6x + 15

1 answer:

6 0

Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.

I hope this helps!

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The surface area of a rectangular prism

Alexxandr [17]

Rectangular prism and cuboid are same

5 0

2 years ago

) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

2 years ago

How many full hours will it take for the number of amoeba to reach 1 million

dimulka [17.4K]

Answer:

250,000 hours

Step-by-step explanation:

if 2 amoeba takes half an hour then 4 amoeba will take 1 full hour then use 4 to divide 1 million.

If u were to use 2 amoeba to half an hour you will have to divide 1 million into two which is 500,00

5 0

2 years ago

Determine the probability of a negative result for a batch of size 10 if the positivity rate

Vlad1618 [11]

The probability of a negative result for a batch will be "0.3487".

Given values are:

Positivity rate,

p = 10% or, 0.1

Batch size,

n = 10

Now,

The probability of negative result will be:

→ $P (batch \ negative) = (1-p)^n$

By substituting the values, we get

→ $=(1-0.1)^{10}$

→ $= (0.9)^{10}$

→ $= 0.3487$

Thus the answer above is right.

Learn more about the probability here:

brainly.com/question/17927863

8 0

2 years ago

G= -4b - 3 + 3a , for a

tatyana61 [14]

a= 4/3b+1/3g+1

extra word extra word

8 0

3 years ago