<span>Using the Triangle Inequality Theorem
</span><span>The sum of two side lengths of a triangle is always greater than the third side
</span>
first one: 6, 22 , 10
6 + 22 > 10 : yes
22 + 10 > 6 : yes
6 + 10 > 22 : No because 16 < 22
These 3 lengths could NOT be lengths of sides of a triangle
second one: 8 , 15 , 22
8 + 15 > 22 : yes
15 + 22 > 8 : yes
8 + 22 > 15 : yes
These 3 lengths could be lengths of sides of a triangle
Answer:
Second option
8 cm, 15 cm, 22 cm
Question 1)
Given
Interest I = $18
Principle P = $200
t = 1.5 years
To determine
Interest rate r = ?
Using the formula


susbtituting I = 18, t = 1.5 and P = 200


or
r = 6% ∵ 0.06 × 100 = 6%
Therefore, we conclude that the interest rate required to accumulate simple interest of $18.00 from a principal of $200 over 1.5 years is 6% per year.
Question 2)
Given
Interest I = $60
Principle P = $750
Interest rate = 4% = 0.04
To determine
Time period t = ?
Using the formula to calculate the time period



years
Therefore, the time required to accumulate simple interest of $ 60.00
from a principal of $ 750 at an interest rate of 4% per year is 2 years.
Answer:

Step-by-step explanation:
we would like to figure out the differential coefficient of 
remember that,
the differential coefficient of a function y is what is now called its derivative y', therefore let,

to do so distribute:

take derivative in both sides which yields:

by sum derivation rule we acquire:

Part-A: differentiating $e^{2x}$

the rule of composite function derivation is given by:

so let g(x) [2x] be u and transform it:

differentiate:

substitute back:

Part-B: differentiating ln(x)•e^2x
Product rule of differentiating is given by:

let
substitute

differentiate:

Final part:
substitute what we got:

and we're done!
X+79=98 (subtract 79 to isolate x)
X=19 so it is false
Answer:
Options A and C
Step-by-step explanation:
<u>To have a unit rate of change of 4.5 means to have the slope at 4.5</u>
A. y = 62 + 4.5x GOOD
B. c = 4.5 + 3h - 1 WRONG
C. c = 12 + 4.5h - 4.5 GOOD
D. y = 3.5x + 1 WRONG
E. y = 4.5 + 20x WRONG
Answer: Options A and C