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3 years ago

Using the segment addition postulate find the length of the segment EF

Mathematics

1 answer:

Step2247 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

I'm pretty sure the segment addition postulate just means that if you add JK and KL together, you'll get the length of JL. Correct me if I'm wrong...

Anyways, JK = 3x - 4, and KL = 5x + 6. If we add these together, according to the segment addition postulate, we will get JL, which equals 9x - 8. So, we set up an equation:

3x - 4 + 5x + 6 = 9x - 8

Simplifying this equation, we get:

8x + 2 = 9x - 8

x = 10

So, our answer is 10.

(also you ask for segment EF but I don't see segment EF so I'm going to just answer the question in the picture)

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Which statements about the local maximums and minimums for the given function are true? Choose three options.

Nataliya [291]

The statements about the local maximums and minimums for the given function which are true include:

Over the interval [2, 4], the local minimum is –8.

Over the interval [3, 5], the local minimum is –8.

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According the the graph: over the interval [2, 4], the local minimum is –8 because the given minimum point is (3.4, -8) and over the interval [3, 5], the local minimum is –8.

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3 years ago

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nikdorinn [45]

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3 years ago

The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area, the

Lesechka [4]

Answer:

Y=s^2/36 and y=5.7;14.3 ft

Step-by-step explanation:

A(s)=s2/36 is the function. A(s) is the aspect ratio, while s is the wingspan. A(s) = 5.7 if one glider has an aspect ratio of 5.7. We'd want to know the glider's wingspan. By replacing A(s) with Y, we get the following equation system:

Y=s^2/36
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2 years ago

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$