Use the identity
sec^2x = 1 + tan^2 x
- so sec x = sqrt(1 + tan^2 x) then:-
tan x + sqrt( 1 + tan^2 x) = 1
sqrt ( 1 + tan^2 x) = 1 - tan x
1 + tan^2 x = 1 + tan^2x - 2 tan x
0 = -2 tanx

tan x = 0

x = 0, π
π is an extraneous root because sec 180 = -1
So the answer is 0 degrees

6 0

3 years ago

2(4x - 1) + 3(3 - 2x) = 0

LUCKY_DIMON [66]

2(4x-1) + 3(3-2x)=0
distribute
8x-2+9-6x=0
add like terms
2x+7=0
subtract 7 from both sides
2x= -7
divide both sides by 2
x=-7/2

3 0

3 years ago

The recipe for a Bach of brownies calls for 1/3 cup of oil. You only want to make 1/4 of a Bach . How much oil do you need

Zielflug [23.3K]

Answer:

1 1/3

Step-by-step explanation:

1/3 divided by 1/4

keep change flip so 1/3 times 4/1 multiply straight across

5 0

3 years ago

Find the slope or rate of change.

Dima020 [189]

Answer:

$m=\frac{5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (-2, 0)

Point (1, 5)

Step 2: Find slope m

Substitute: $m=\frac{5-0}{1+2}$
Subtract/Add: $m=\frac{5}{3}$

3 0

2 years ago