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
REY [17]
3 years ago
9

Find the value of x (1/3)^2•(1/3)^x=1/729

Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

\left(\dfrac{1}{3}\right)^2\cdot\left(\dfrac{1}{3}\right)^x=\dfrac{1}{729}\\\\\left(\dfrac{1}{3}\right)^{2+x}=\left(\dfrac{1}{3}\right)^6\iff2+x=6\ \ \ \ |-2\\\\\boxed{x=4}\\\\\text{used:}\\\\a^n\cdot a^m=a^{n+m}

You might be interested in
Louise sold 391 soft pretzels. If she sold them in groups of 17 soft pretzels, how many groups did she sell?
Veseljchak [2.6K]
23 groups of pretzels
7 0
3 years ago
Match each pair of points to the equation of the line that is parallel to the line passing through the pointsB(5,2) and C(7,-5)Y
a_sh-v [17]

we will select each points and find equation of line

option-A:

points are B(5,2) and C(7,-5)

x1=5,y1=2 , x2=7 , y2=-5

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{-5-2}{7-5}

m=-3.5

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-2=-3.5(x-5)

y=\frac{-7}{2}x+\frac{39}{2}...........Answer

option-B:

points are D(11,6) and E(5,9)

x1=11,y1=6 , x2=5 , y2=9

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{9-6}{5-11}

m=-0.5

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-6=-0.5(x-11)

y=\frac{-1}{2}x+\frac{23}{2}...........Answer

option-C:

points are F(-7,12) and G(3,-8)

x1=-7,y1=12 , x2=3 , y2=-8

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{-8-12}{3+7}

m=-2

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-12=-2(x+7)

y=-2x-2...........Answer

option-D:

points are H(4,4) and I(8,9)

x1=4,y1=4 , x2=8 , y2=9

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{9-4}{8-4}

m=1.25

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-4=1.25(x-4)

y=\frac{5}{4}x-1...........Answer

option-E:

points are J(7,2) and K(-9,8)

x1=7,y1=2 , x2=-9 , y2=8

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{8-2}{-9-7}

m=-\frac{3}{8}

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y-2=\frac{3}{8}(x-7)

y=\frac{3}{8}x-\frac{5}{8}...........Answer

option-F:

points are L(5,-7) and M(4,-12)

x1=5,y1=-7 , x2=4 , y2=-12

Firstly, we will find slope

m=\frac{y_2-y_1}{x_2-x_1}

we can plug values

m=\frac{-12+7}{4-5}

m=5

we can use point slope form of line

y-y_1=m(x-x_1)

we can plug values

y+7=5(x-5)

y=5x-32...........Answer



7 0
3 years ago
Read 2 more answers
How to make a mixed number a decimal
ra1l [238]
First make it a fraction, then divide numerator by denominator
3 0
3 years ago
Read 2 more answers
Find the measure of angle 3
xxMikexx [17]

The answer is 60 degrees

If the picture was: http://tinypic.com/view.php?pic=1zq6o75&s=7#.W1FNsNVKiM8

I hope this helps!

Plz mark brainliest!


4 0
3 years ago
PLS HELP NOW ! WILL MARK BRAINLIEST AND 5 STARS
Paraphin [41]

Answer:

x = 45/4

Step-by-step explanation:

2x - 3/4 + x = 2x + 3/2 + 9

- 3/4 + x = 3/2 + 9

- 3/4 + x = 21/2

x = 21/2 + 3/4

x = 45/4

8 0
3 years ago
Other questions:
  • The measures of three parts of triangle ABC are given in the diagram. What is AC, correct to two decimal places? A. 2.55 B. 5.01
    14·2 answers
  • Write the equation in standard form: 3x _ 1 = 2y
    10·2 answers
  • Answer the following questions. If you get stuck, use pattern blocks.
    5·1 answer
  • Im still bored so entertain me pls
    8·1 answer
  • HELP ME!!! NO FLIES OR LINKS<br> find the length of the diagonals of rectangle QRST
    15·1 answer
  • 1/5 of 45 is what number?<br><br><br><br> hurry!
    10·2 answers
  • A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?​
    13·1 answer
  • R - 8 = 2.745<br><br><br><br> What is the value of r?
    15·2 answers
  • Use a calculator to find the angle measure to the nearest degree for sin-1 (0.7071).
    14·2 answers
  • H(x) =-4x+ 3; Find h(x-1)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!