Answer:
DE/AB= DC/AC , 12/AB= 6/11 , AB= 12×11/6=2×11=22 , Sory i can't explain , i bad know english language. or so ABC~CDE because DE||AB=> DE/AB=DC/AC
The set of ordered pairs are
Step-by-step explanation:
Given that the relation
To find the set of ordered pairs, let us substitute the value for x in the relation
For ,
The ordered pair is
For ,
The ordered pair is
For ,
The ordered pair is
For ,
The ordered pair is
For ,
The ordered pair is
Thus, the set of ordered pairs is
Answer:
0.41 tons can be lifted
Step-by-step explanation:
The diameter d in inches of a rope needed to lift a weight of w tons is given by the formula d = 15w π .
This means that the diameter of the rope varies with the weight to be lifted. d is the dependent variable
π is a constant which is approximately 3.142
To determine the amount of weight that can be lifted with a rope with a diameter of 19.5 in, we substitute d = 19.5 into the given equation. It becomes
19.5 = = 15w ×3.142
19.5 = 47.13w
w= 19.5/47.13 = 0.41 tons
Step-by-step explanation:
<u>Given</u>
- f(x) = 4x³ + 3x² - 2x - 1
<u>Divide it by the following:</u>
<u>(a) 2x + 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
- 2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
- (2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
<u>(b) 2x - 3</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
- (2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
<u>(c) 4x - 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
- (4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
<u>(d) x + 2</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
- (x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
Answer:
B. 1/32
Step-by-step explanation: