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fomenos
3 years ago
10

What is the value of x in 2(x−8)=x+5x​

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Answer:

x=-4

Step-by-step explanation:

Lets start by distributing '2' from the parenthesis,

2x-16=x+5x

Now, lest group terms from variable 'x', for that, subtract -2x to both sides of equation,

-16=x+5x-2x

We have.

-16=4x

Isolating x, we have x=-4

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-25-6= -25 + -6 = -31
VashaNatasha [74]

30 + 40 1- 40 = 69

Step-by-step explanation:

4 0
3 years ago
The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:
Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

6 0
3 years ago
For what value of x is the rational expression below undefined? 3x-5/x-6
Fantom [35]
The answer is 6 as if you plug in 6 in the denominator (6)-6 is 0 which makes the fraction undefined

8 0
3 years ago
Read 2 more answers
How do I solve these problems? ln(x) = 5.6 + ln(7.5) and log(x) = 5.6 - log(7.5)
SOVA2 [1]

Use the rules of logarithms and the rules of exponents.

... ln(ab) = ln(a) + ln(b)

... e^ln(a) = a

... (a^b)·(a^c) = a^(b+c)

_____

1) Use the second rule and take the antilog.

... e^ln(x) = x = e^(5.6 + ln(7.5))

... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents

... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms

... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)

2) Similar to the previous problem, except base-10 logs are involved.

... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.

... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5

... x ≈ 53,080.96

8 0
3 years ago
Which pairs of angles in the figure below are vertical angles??
Wewaii [24]

Answer:

Option A and D

Step-by-step explanation:

straight lines AI, PR, CT intersect each other at a point k.

Opposite or vertical angles are,

1. ∠ AKC and ∠ TKI

2. ∠ IKR and ∠ AKP

Therefore, options (A) and (D) are the correct options.

8 0
3 years ago
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