Given:
The expression is:
To find:
The value of the given expression by using Commutative and Associative properties of numbers.
Solution:
We have,
Applying parenthesis and brackets, we get
[Commutative properties of numbers]
[Associative properties of numbers]
Using Associative properties of numbers, we get
[Associative properties of numbers]
Therefore, the value of the given expression 55.
Answer:
3x^2+24x=-48 -> one solution, x=-4
4x^2-16x=0 -> has two solutions, x=0 and x=4
5x^2+2=4x -> has no solutions,
3(x+5)^2=-2 -> has no solutions.
Step-by-step explanation:
Ok, so it seems
erm
ok, even and odd
it is an odd one because the power is odd (3rd degree)
so then the ends go in different directions
and since leading coefient (5 in the 5x^3) is positive, it goes from bottom left to top right
so
A is false
B is false
C and D are true
answer is C and D
Answer: b = 40
sin B =
cos B =
tg B =
sec B =
csc B =
cot B =
Step-by-step explanation: If the right angle is at C, then the hypothenuse is side c = 41.
Using Pythagorean Theorem:
hypotenuse² = side² + side²
41² = 9² + b²
b =
b = 40
The side b length is <u>40</u>,
The trigonometric functions of a right triangle are:
1) Sine =
sin (B) =
Sin(B) =
2) Cosine =
cos (B) =
cos (B) =
3) Tangent =
tg (B) =
tg (B) =
4) Sec =
sec(B) =
sec(B) =
5) Cosecant =
csc(B) =
csc(B) =
6) Cotangent =
cot(B) =
cot(B) =
Answer:
Four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .
Step-by-step explanation:
Consecutive numbers are numbers having each number is one more than the previous number. like consecutive number of 2 is 3 .
We have to four consecutive integers whose sum is 114.
Let integers be in the form x , (x+1) , (x+2) , (x+3)
Given : Sum of integers be 114.
thus, x + (x+1) + (x+2) + (x+3) = 114
⇒ 4x +6 = 114
⇒ 4x = 114 -6
⇒ 4x = 108
⇒
⇒ x = 27
Thus, integers are,
x = 27
(x+1) = 27 + 1 = 28
(x+2) = 27 +2 = 29
(x+3) = 27 +3 = 30
Thus, four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .