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2 years ago

13

Find the coordinates of the midpoint of1. (6,3) and (4,5)

1 answer:

expeople1 [14]2 years ago

8 0

Answer:

(5,4)

Step-by-step explanation:

midpoint = (6 + 4 / 2 , 3 +5 / 2)

= (5,4)

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Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

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

<u>Algebra I</u>

Functions
Function Notation

<u>Algebra II</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

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Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

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3 years ago

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The slope of the line below is 2. Use the coordinates of the labeled point to find the point-slope equation of the line.

IgorLugansk [536]

Answer:

A. y + 6= -2(x - 4)

Step-by-step explanation:

Let A(a , b) be a point of the line

and m be the slope.

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y - b = m (x - a).

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Given :

Slope = -2

A(4 , -6)

Then

Point-slope equation : y + 6= -2(x - 4)

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Answer:

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Step-by-step explanation:

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Black_prince [1.1K]

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