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Anastasy [175]
2 years ago
15

#1: Find the value of X. (GEOMETRY)

Mathematics
1 answer:
grandymaker [24]2 years ago
3 0

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

  • This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.

2. (Solving)

Step 1: Combine like terms.

  • (7x+5x+2x)+(-11-2-3)=180
  • 14x -16 = 180

Step 2: Add 16 to both sides.

  • 14x - 16 + 16 = 180 + 16
  • 14x = 196

Step 3: Divide both sides by 14.

  • \frac{14x}{14}=\frac{196}{14}
  • x = 14

Step 2: Check if solution is correct.

  • 7(14)-11+5(14)-2+2(14)-3=180
  • 98-11+70-2+28-3=180
  • 180=180

Therefore, the answer is x = 14.

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Answer:

we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.

Therefore, the point (0, a) is on the graph of the function f(x) = abˣ

Hence, option (D) is correct.

Step-by-step explanation:

Given the function

f(x) = abˣ

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putting x = b, y = 0

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FOR (a, b)

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putting x = a, y = b

b = abᵃ

FOR (0, 0)

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0 = ab⁰

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FOR (0, a)

y = abˣ

putting x = 0, y = a

a = ab⁰

a = a         ∵b⁰ = 1

TRUE

Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.

Therefore, the point (0, a) is on the graph of the function f(x) = abˣ

Hence, option (D) is correct.

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3 years ago
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The reason for this has to do with finding the area of a square. When you are looking for the area of a square, you use the rectangle formula (since a square is also a rectangle).

The formula is Area = Length * Width

However, since in a square, the length and width are the same, both get changed to the word "Side". As a result, we get the following formula.

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Create a list of steps, in order, that will solve the following equation 1/4(x+5)^2-1=3
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Answer:

Add 1 to each side

Multiply each side by 4

Take the square root of each side

Subtract 5 from each side

Combine terms

Step-by-step explanation:

1/4(x+5)^2-1=3

Add 1 to each side

1/4(x+5)^2-1+1=3+1

1/4(x+5)^2=4

Multiply each side by 4

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Take the square root of each side

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x = -5  ±4

Combine terms

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x = -1            x = -9

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