1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex Ar [27]
3 years ago
6

Help with number 10! Step by step please!

Mathematics
1 answer:
Eddi Din [679]3 years ago
5 0

9514 1404 393

Answer:

  x = -9 (as you know)

Step-by-step explanation:

  \log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}

_____

I find it helpful to remember that a logarithm is an exponent.

  \log_a(a^b)=b

You might be interested in
If two sides of a right triangle are 8 and 7, what is the hypotenuse
____ [38]
To find the hypotenuse, simply use the pythagorean theorem. A^2+B^2=C^2
You know the two legs 7 and 8, so plug it in for A and B
7^2+8^2=C^2
49+64=C^2
113=C^2
C= approximately 10.63
5 0
3 years ago
Here are sketches of four triangles.
Temka [501]

Answer:

x ≈ 2.29 cm

Step-by-step explanation:

From the picture below we are given a right angle triangle and asked to find the value of x. We can use the SOHCAHTOA principle to find the side x.

Base on the angle given the adjacent side of the triangle is x while the hypotenuse is given as  4 cm. Let's find the value of x .

cos 55° = adjacent/hypotenuse

cos 55° = x/4

cross multiply

x = 4 cos 55°

x = 4 × 0.57357643635

x = 2.2943057454

x ≈ 2.29 cm

7 0
4 years ago
What's does tumultuously mean??
yuradex [85]
<span>Making a loud, confused noise; uproarious.</span>
8 0
3 years ago
A river is flowing at the rate of 2.4 miles an hour when a boy rows across it. If the boy rows at a still-water speed of 3.1 mil
Xelga [282]

Answer:

3.9 mi/h

Step-by-step explanation:

If the boy is rowing perpendicular to the current, the two vectors form a right triangle.

AB represents the downstream current, BC is the speed across the river, and AC is the ground speed of the boat

AC^2 = 2.4^2 + 3.1^2 =5.76 + 9.61 = 15.37

AC = sqrt(15.37) = 3.9 mi/h

The boat's speed over the ground is 3.9 mi/h.

7 0
3 years ago
John has 78 total cows, and was excited to have 65 calves this season. What percentage calf crop
Firlakuza [10]

Answer:

83%

Step-by-step explanation:

65/78=.83333333333333

0.833333333 turnes into 83% once rounded and multipyled by 100

3 0
3 years ago
Other questions:
  • Between t = 0 and t = t0, a rocket moves straight upward with an acceleration given by a(t) = A − Bt1/2, where A and B are const
    14·1 answer
  • Rearrange the formula A = <br> bh<br> 2<br> for h.
    5·1 answer
  • I need help Please help! which of the following assessment types has the greatest effect on your overall grade?
    5·2 answers
  • Why is the product of a rational number and an irrational number irrational
    14·2 answers
  • Find the next four terms of the arithmetic sequence 11,15,19...
    12·1 answer
  • Alonzo just brought 7 bags of 14 cookies each. He already had 9 cookies in a jar. How many cookies does Alonzo have now?
    15·2 answers
  • Please help I’ll mark you as brainliest if correct!
    12·2 answers
  • 3 - 6x + 2 + 1 = 4 - 5x + 2 - x<br> How many solutions does this equation have
    11·1 answer
  • The elevations, in feet, of three citites are marked on the number line shown below. The point 0 on the number line represents s
    9·1 answer
  • margaret says there is not enough information to show WXYZ is a parallelogram. Explain why Margaret is incorrect
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!