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Anastaziya [24]
2 years ago
13

Solve by completing square when a=1 and identify if perfect square trinomial

Mathematics
1 answer:
adelina 88 [10]2 years ago
5 0

Answer:

Step-by-step explanation:

( x² - 2 × 5 × x + 25 ) - 25 + 100 = ( x² - 5 )² + 75

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Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m
ch4aika [34]

Answer:

\ln x+\frac{1}{3}\ln (x^2+1)

Step-by-step explanation:

Consider the given expression is

\ln (x\sqrt[3]{x^2+1})

We need to rewrite the expression as a sum,difference,or multiple of logarithms.

\ln (x(x^2+1)^{\frac{1}{3}})        [\because \sqrt[n]{x}=x^{\frac{1}{n}}]

Using the properties of logarithm we get

\ln x+\ln (x^2+1)^{\frac{1}{3}}         [\because \ln (ab)=\ln a+\ln b]

\ln x+\frac{1}{3}\ln (x^2+1)        [\because \ln (a^b)=b\ln a]

Therefore, the simplified form of the given expression is \ln x+\frac{1}{3}\ln (x^2+1).

6 0
3 years ago
A line passes through (8,2) and (11,-13) write the equation of thr line in standerd form
docker41 [41]

Answer:

Step-by-step explanation:

(8,2),(11,-13)

slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5

y = mx + b

slope(m) = -5

(8,2)...x = 8 and y = 2

now we sub and find b, the y int

2 = -5(8) + b

2 = -40 + b

2 + 40 = b

42 = b

so ur equation is : y = -5x + 42...now we need it in standard form

Ax + By = C

y = -5x  42

5x + y = 42 <====

8 0
3 years ago
What is 3/4 of 60 step step
dem82 [27]

Answer:

45

Step-by-step explanation:

3/4 of 60 would be:

= 3/4 * 60

= 3*60 / 4

= 180 / 4

= 45

Hope this help you :3

5 0
3 years ago
Read 2 more answers
What is the value of x + 3y + z if x = 4, y = 5, and z=2?​
Alexus [3.1K]

Answer:

x+3y+z=21

Step-by-step explanation:

x+3y+z

4+3(5)+2

4+15+2

21

8 0
3 years ago
Read 2 more answers
Can u plzzzz help me brainliest​
dmitriy555 [2]
3(4m-2) -2(m+5)
12m -6 -2m -10
10m -16
answer is 10m -16 :)
4 0
2 years ago
Read 2 more answers
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