What is 6a squared - 12a+36

Answers

Answer 1

Answer: 6a²-12a+36= 6a²-12a=-36
Put the normal number on the other side to have the variables on one side, and the normal number on the other.
Then group:
= 36a-12a= -36
= 24a=-36
Then isolate a:
= a=-36/24
Then simplify:
=a = - 3/2

Hope this helps!

Answer 2

Answer: 6a² - 12a + 36 = 0
a = -(-12) +/- √((-12)² - 4(6)(36))
      2(6)
a = 12 +/- √(144 - 864)
      12
a = 12 +/- -√720
   12
a = 12 +/- -√(9 × 16 × 5)
   12
a = 12 +/- -√9 -√16 -√5
   12
a = 12 +/- (-3)(-4) -√5
   12
a = 12 +/- 12-√5
      12
a = 12 +/- 12(-2.236067978)
      12
a = 12 +/- (-26.83281573)
   12
a = 12 + (-26.83281573) a = 12 - (26.83281573)
      12       12
a = 12 - 26.83281573 a = 12 + 26.83281573
   12 12
a = -14.83281573 a = 38.832815723
   12 12
-1.236067978 a = 3.236067978

C.) y + 5 = 7(x - 9)

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

The point-slope form of an equation of a line:

y - y₁ = m(x - x₁)

(x₁, y₁) - point on a line

m - slope

We have the line y - 9 = 7(x + 5). The slope m = 7.

A) y - 9 = 3x + 4 → m = 3

B) y = -9x - 5 → m = -9

C) y + 5 = 7(x - 9) → m = 7

D) y - 9 = 5(x + 4) → m = 5

The line C) y + 5 = 7(x - 9) has the same slope.

A 40-foot T.V. antenna stands on top of a building. From a point on the ground, the angle of elevation to the top and to the bottom of the antenna measures 56° and 42° respectively. How tall is the building?

Answers

Answer:

61.5

Step-by-step explanation:

In this case to calculate the height, we do the following:

The first is the graphic, attached image.

Then the calculations.

b / d = tan (42 °) = 0.9

d = b / 0.9

Then we have to:

(40 + b) / d = tan (56 °) = 1.48

(40 + b) = d * 1.48

Replacing we have:

(40 + b) = (b / 0.9) * 1.48

40 + b = 1.65 * b

1.65 * b - b = 40

b = 40 / 0.65

b = 61.5

Therefore the height is approximately 61.5

Final answer:

Using the tangent function of trigonometry for the two given angles, we can set up two equations. We solve these equations by substituting the fabricate distance from one into the other, providing the height of the building.

Explanation:

To find the height of the building, we'll use the tangent function of trigonometry. In this case, the tangent of an angle in a right triangle is defined as the opposite side divided by the adjacent side. Therefore, we create two equations using the two provided angles and the respective opposite sides (antenna and building + antenna), as we know the distances are proportional to the tangent of their angles when the adjacent side (distance from the point on the ground to the building) is the same.

For the entire structure (building + antenna): tan(56 degrees) = (Height of building + 40 feet) / Distance from the building.
For the antenna only: tan(42 degrees) = 40 feet / Distance from the building.

We can solve this system of equations by substitution. Since tan(42 degrees) = 40 feet / Distance from the building, it means the Distance from the building = 40 feet / tan(42 degrees). Plugging the Distance into equation 1 and solving for Height of building, we get: Height of building = tan(56 degrees) * Distance from building - 40 feet = tan(56 degrees) * (40 feet / tan(42 degrees)) - 40 feet. This gives us the height of the building.

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A bakery's production is modeled by function f(x), where f(x) is the number of donuts made in a day and x is the number of bags of flour needed. Choose the ordered pair that represents a possible domain and range of the function.(−1, 15)
(5, 92.75)
(10, 100)
(−5, 110.5)

Answers

it can't be A or D because they have negatives. you can't have negative donuts. you can't have 92.75 donuts therefore it's C

Final answer:

The domain and range of the function represent the possible inputs and outputs. The given ordered pairs are analyzed to determine the possible domain and range.

Explanation:

The domain and range of a function represent the possible inputs and outputs of that function. In this case, the function represents the number of donuts made in a day based on the number of bags of flour needed. The domain of the function would be the possible values for x, which is the number of bags of flour. The range of the function would be the possible values for f(x), which is the number of donuts made.

Looking at the given ordered pairs:

(-1, 15): The number of bags of flour cannot be negative, so this is not a possible domain. The range value of 15 is possible for the number of donuts made.
(5, 92.75): This is a possible ordered pair for the domain and range. The number of bags of flour is 5, and the number of donuts made is 92.75.
(10, 100): This is a possible ordered pair for the domain and range. The number of bags of flour is 10, and the number of donuts made is 100.
(-5, 110.5): The number of bags of flour cannot be negative, so this is not a possible domain. The range value of 110.5 is possible for the number of donuts made.

Based on the given options, the ordered pairs (5, 92.75) and (10, 100) represent possible domains and ranges for the function.

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There are 20 sticks per panel on a soccer ball. A soccer ball has 32 leather panels. How many stiches in all.

Answers

20/1 × x/32
20×30=x
600=x
Answer: there are 600 stitches on a soccer ball.

In a certain manufacturing plant, the first operation can be done on any one of five machines, the second operation on only one machine, the third operation on any one of six machines, and the fourth operation on either of two machines. Over how many routes can the raw material be processed?14
56
60

Answers

Let's see all the steps:
1) operation : 5 options
2) only one option: we ignore it
3) the third operation: 6 options
4): 2 options.

So we have 5 options, 6 options and 2 options: and they are independent of each other. This means that we multiply the numbers, and 5*6*2=60 So the answer is 60!

Answer:

Step-by-step explanation:

A student is trying to solve the system of two equations given below: Equation P: y + z = 4 Equation Q: 3y + 7z = 15 Which of the following steps can be used to eliminate the y term? A. –3(y + z = 4) B. 3(y + z = 4) C. –1(3y + 7z = 15) D. –3(3y + 7z = 15)