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3 years ago

Solve for h: h + 4.18 = 19.74

Mathematics

1 answer:

Vika [28.1K]3 years ago

3 0

H= 15.56. Because 19.74 - 4.18 will equal 15.56

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Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

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Answer:

**The equation is not clear, so I have provided both options**

<h3>Option 1</h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

Solution 1

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

Solution 2

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3>Option 2</h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

Solution 1

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

$\implies k=-\dfrac{6}{13}$

Solution 2

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

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2 years ago

What is the slope of the line that passes through the pair of points (-1, 4), (3,12)

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Answer:

$\displaystyle m = 2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{12-4}{3--1}$
[Fraction] Subtract: $\displaystyle m = \frac{8}{4}$
[Fraction] Divide: $\displaystyle m = 2$

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Step-by-step explanation:

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Answer:

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Reduce & Cancel: 165°

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3 years ago

Solve for h: h + 4.18 = 19.74​

Solve for h: h + 4.18 = 19.74