Answer:
<h2>9</h2>
Step-by-step explanation:
<em>4x - 7</em>
<em>Put </em><em>x = 4</em><em> to the expression:</em>
<em>4(4) - 7 = 16 - 7 = 9</em>
Answer:
b)(b²-a²)
Step-by-step explanation:
a cotθ + b cosecθ =p
b cotθ + a cosecθ =q
Now,
p²- q²
=(a cotθ + b cosecθ)² - (b cotθ + a cosecθ)² [a²-b²=(a+b)(a-b)]
=(acotθ+bcosecθ + bcotθ+ acosecθ) (a cotθ + bcosecθ -bcotθ-acosecθ)
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ)+b (cosecθ-cotθ)}
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} [a (cotθ-cosecθ) + {- b (cotθ-cosecθ)} ]
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ) - b (cotθ-cosecθ)}
={(cotθ+cosecθ)(a+b)} {(cotθ-cosecθ) (a-b)}
=(cotθ+cosecθ) (a+b) (cotθ-cosecθ) (a-b)
=(cotθ+cosecθ) (cotθ-cosecθ) (a+b) (a-b)
= (cot²θ-cosec²θ) (a²-b²) [(a+b) (a-b)= (a²-b²)]
= -1 . (a²-b²) [ 1+cot²θ=cosec²θ ; ∴cot²θ-cosec²θ=-1]
=(b²-a²)
First turn the whole numbers into mixed fractions:
1 1/2
multiply the whole number by the denominator then add it to the numerator which will make 3/2
doing the same thing on 1 2/3, you get 5/3
finding the LCM of 5/3, 3/2 and 3/4, you get 12
multiplying 4/4 to 5/3, you get 20/12
multiplying 6/6 to 3/2, you get 18/12
multiplying 3/3 to 3/4, you get 9/12
now you can add them easily and you get 47/20
turning that into a whole fraction, you get 2 7/20
Answer:
k = -111.34
Step-by-step explanation:
In this question, you will solve for k.
Solve:
k/3.8 + 57.6 = 28.3
Subtract 57.6 from both sides.
k/3.8 = -29.3
To get "k" by itself, multiply both sides by 3.8 to eliminate the fraction.
k = -111.34
-111.34 is the value of "k".
Answer:
4) x^10
Step-by-step explanation:
1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.
2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.
3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.
4) (x^2*x^4)^4÷x^8
First do what's in the parentheses,
(x^2*x^4) = x^6
Next do the exponents,
(x^6)^3 = x^18
Lastly the division,
x^18÷x^8 = x^10
x^10 is our answer.
