3x _> 3.0 - 2.4
= 3x _> 3/5
= 1/5
<span>2 ln 8 + 3 ln y simplifies to ln 8^2 + ln y^3, which in turn simplifies to
ln 64/y^3, or ln {64*y^3}</span>
Answer:
(3) Diagonals are perpendicular
Step-by-step explanation:
Answer:
<em>m</em> = 3/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:

- Perpendicular lines are the negative reciprocal of the given line
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point G(-2, 3)
Point H(1, -2)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
<em />
<em>Line GH</em>
- Substitute in points [Slope Formula]:

- [Fraction] Subtract:

<em>Perpendicular line</em>
- Negative:

- Reciprocate:

Let x be the digit in the tens place and y be the digit in the ones place.
so, the digit is xy
<span>
The ten's digit of a two digit number is 1 more than 4 times the units' digit.
</span>x = 4y + 1
<span>63 is subtracted from the number, the order of the digits is reversed
</span>10x + y - 63 = 10y + x
9x - 9y = 63
x = 4y + 1 ------------ (1)
9x - 9y = 63 ---------- (2)
Sub (1) into (2)
9(4y + 1) - 9y = 63
36y + 9 - 9y = 63
27y = 63 - 9
27y = 54
y = 2 ------- sub into (1)
x = 4(2) + 1 = 9
x = 9, y = 2
The number is 92