Answer:
the first one
Step-by-step explanation: because greater than or euqal is a filled circle because its equal and greater than goes more than the number
Answer:
33 feet
Step-by-step explanation:
Use SOHCAHTOA to determine which trigonometric function to use:
sin(65)=30/x
sin(65)x=30
x=30/sin(65)
x=33.1
So the length of the ladder rounded to the nearest foot is 33 feet
Let a = longest side <em> (Establishing labels)</em>
let b = shortest side
let c = third side
P = 14.5 <em> (Given)</em>
a = 6.2
b = 1/2(a)
P = a + b + c
P = 6.2 + 3.1 + c <em>(Fill in given info in equation)</em>
P = 9.3 + c <em>(Simplify)</em>
14.5 = 9.3 + c <em>(Simplify)</em>
c = 14.5 - 9.3 <em>(Solve)</em>
c = 5.2
Hope this made sense!
Answer:
B) (8, 0) and (-4,0)
Step-by-step explanation:
x-intercept when y = 0
so
x^2 - 4x - 32 = 0
Factors
(x - 8)(x + 4 ) = 0
x - 8 = 0; x = 8
x + 4 = 0; x = -4
(8, 0) and (-4,0)
QUESTION A
The given multiplication problem is

Factor each term to obtain;

Cancel out the common factors to obtain;

Simplify to get;

QUESTION B
The given multiplication problem is

This the same as

This simplifies to;

QUESTION C
The given problem is

This is the same as


This simplifies to

QUESTION D.
The given expression is

Factor the 54 to obtain;

Cancel the common factors to get;

This simplifies to;

QUESTION E
The given problem is

Convert the mixed numbers to improper fraction to obtain;


Cancel the common factors to get;


QUESTION F
The multiplication problem is

Convert the mixed numbers to improper fractions to obtain;

Cancel out the common factors to get;

Simplify;

QUESTION G
The given problem is

Convert to improper fractions;

Cancel out the common factors to get;


Convert back to mixed numbers

QUESTION H
The given expression is

Convert to improper fraction to get;

Cancel common factors to get;

Simplify

Convert back to mixed numbers;
