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juin [17]
3 years ago
11

5. Write the number 81 as a power with a base of 3 and a base of 9.

Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

3^4 and 9^2

Step-by-step explanation:

You might be interested in
David has a part-time job. He earns $9.40 per hour. How much will he earn when he works 9 hours?
Oksana_A [137]

Answer:

$84.60

Step-by-step explanation:

$84.60 is what david will earn in 9 hours becuz 9.40 times 9 is 84 dollars and 60 cents

7 0
2 years ago
HELP! A semi circle of radius 6 is centered at the origin as shown. A rectangle has two of its vertices at (5,0) and (-5,0) and
Ugo [173]

The Area of rectangle is "30 \ unit^2" and the equation of the semi circle is "y = \sqrt{36-x^2}".

According to the question,

The vertices of rectangle,

(5, 0) and (-5, 0)

Length,

l = 10 unit

Breadth,

b = 3 unit

Radius of semi circle,

r = 6

Centre of origin,

(0, 0)

As we know,

→ The Area of rectangle is:

= Length\times Breadth

= 10\times 3

= 30 \ unit^2

and,

→ The Equation of semi circle is,

y = \sqrt{r^2-x^2}

by substituting the values, we get

  =\sqrt{(6)^2-x^2}

  = \sqrt{36-x^2}

Thus the above is the correct answers.

Learn more about Area of rectangle here:

brainly.com/question/14383947

4 0
2 years ago
Use slope or the distance formula to determine the most precise name for the figure:
Orlov [11]

Answer:

parallelogram

Step-by-step explanation:

opposite sides are parallel and equal

4 0
2 years ago
Line AB and Line CD are parallel lines. Which translation of the plane can we use to prove angles x and y are congruent, and why
anastassius [24]

Answer:

Option C.

Step-by-step explanation:

In the given figure we have two parallel lines AB and CD.

A transversal line FB intersect the parallel lines at point B and C.

We know that the if a transversal line intersect two parallel lines, then corresponding angles are congruent.

\angle ABC=\anle ECF

x=y

To prove this by translation, we need a translation along the directed line segment CB maps ine CD onto line AB and angle y onto angle x.

Therefore, the correct option is C.

5 0
3 years ago
What is the solution to this system of linear equations?
sp2606 [1]
The solution to the system of linear equations is (-1,3). Here's how I got my answer step by step using the substitution method.

Step 1: Solve for either x or y in one of the two equations.
  
    y  -  4x  =  7
        + 4x   + 4x
-----------------------
    y = 4x + 7

Step 2: Plug in the value that you got for x or y into the equation that you haven't worked with yet.

2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
     
 12x  +  14  =  2
          - 14   - 14
-----------------------
 12x = -12
-------  -------
  12      12

    x = -1

Step 3: Plug in the number you got for y or x into either of the two equations.

  y - 4(-1) = 7 
  y  +  4  =  7  
        - 4    - 4
-------------------
  y = 3

The final answer is (-1,3). If you want to check to make sure that this coordinate is a solution to the system of equations, all you have to do is plug in -1 for x and 3 for y into both equations. 

Equation 1: y - 4x = 7
Equation 2: 2y + 4x = 2

3 - 4(-1) = 7                      2(3) + 4(-1) = 2
3 + 4 = 7                           6 - 4 = 2
7 = 7                                  2 = 2

I hope all of this makes sense to you :)






3 0
2 years ago
Read 2 more answers
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