Answer:
B
Step-by-step explanation:
Square root both sides and you get x = plus or minus 6, because 6*6 = 36 or -6*-6 = 36.
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
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How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
- 3x + (-3x) becomes 0x and that's just 0. So the x terms go away
- 9y + (-6y) is the same as 9y-6y which turns into 3y
- 12 + 18 becomes 30
After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
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Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Answer: E. (126 + 10.5x) square feet
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
The length of a living room is 12 feet and its width is 10 1/2 feet. If the length of the room is being expanded by x feet, then the new length would be (12 + x) feet
Therefore, an expression to represent the new area of the living room in square feet would be
10.5(12 + x)
The expanded form of the expression would be
(126 + 10.5x) square feet
A standard normal distribution has a mean of zero; half the bell curve is to the left of zero and half to the right.
A standard normal distribution has a standard deviation of 1 and follows the 68-95-99.7 rule; e.g. 99.7% of the probability is between -3 and +3.
Choice a
Answer:
<em>pi </em><em>is </em><em>an </em><em>irrational</em><em> </em><em>number</em><em> </em><em>and </em><em>its </em><em>value </em>
<em> </em><em> </em><em> </em><em>is </em><em>2</em><em>2</em><em>/</em><em>7</em><em> </em><em>in </em><em>fraction</em><em> </em><em>and </em><em>3</em><em>.</em><em>1</em><em>4</em><em> </em><em>in </em><em>decimal</em>
<em> </em><em> </em><em> </em><em>and </em><em>2</em><em>2</em><em>/</em><em>7</em><em> </em><em>is </em><em>rational</em><em> </em><em>number</em>
<em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>
