An equilateral triangle with side length 2.5 is dilated with a scale factor of 6. What is the length of one side of the new figure?

2.5
2.5

6
6

7.5
7.5

15

The simplest form of  6⁵ x 6² is 6⁷    

The way of representing huge numbers in terms of powers is known as an exponent. The exponent of a number is the number of times a number has been multiplied by itself.  

For example, 3 is multiplied by 4 times itself, i.e. 3 × 3 × 3 × 3. This can be represented as 3⁴. Where 3 is the base and 4 is the exponent.

The following are the some of formulas in exponents

Here we have

The expression 6⁵ x 6²  

We can simplify the given equation by using exponent formulas

As we know, aᵇ × aˣ = aᵇ⁺ˣ

=> 6⁵ x 6² = 6⁵⁺² = 6⁷    

Therefore,

The simplest form of  6⁵ x 6² is 6⁷    

Learn more about Exponents at

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Answer:

0.83r + 0.91

Step-by-step explanation:

-0.17r + 0.91 + r

Combine like terms (so, that would be r)

0.83r + 0.91

line 1

3y = 4x + 5

y = 4/3x + 5/3

line 2

8x + 6y = -4

6y = -8x -4

y = -8/6x -4/6

y = -4/3x - 2/3

line 3

y = 3/4x + 6

since line 1 and 2 have different slopes, they are neither

since line 1 and 3 have different slopes, they are neither

since line 2 and 3 have the opposite slopes, they are perpendicular

Answer:

10a+16...hope this helps!

Step-by-step explanation:

hope it helps you

can you brainlest me

Answer:

0.05

Step-by-step explanation:

Answer:

[tex]y=-2[/tex]

Step-by-step explanation:

[tex]5y+9=5+3y[/tex]

[tex]5y+9-9=5+3y-9[/tex]

[tex]5y=3y-4[/tex]

[tex]5y-3y=3y-4-3y[/tex]

[tex]2y=-4[/tex]

[tex]\cfrac{2y}{2}=\cfrac{-4}{2}[/tex]

[tex]y=-2[/tex]

Answer

y=-2

Step-by-step explanation:

5y+9=5+3y

5y-3y=5-9

2y=-4

y=-2

Answer:

-2

Step-by-step explanation:

(y1-y2)/(x1-x2) = (1-3)/(3-2) = -2/1 = -2

hope this helps!

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Answer:

9x + 31y

Step-by-step explanation:

9x + 31y is the most simplified version of your expression! I believe your question is missing some information but I would love to help in any way I can. Here is how I simplified +9x + 5y + 26y into its simplest form.

Step 1: Add like terms (Add the numbers together with the same terms)

9x + ( 5y + 26y)

Step 2: After adding like terms, you'll be left with 9x + 31y

9x + 31y

Answer:

9x + 31y

Step-by-step explanation:

9x + 31y is the most simplified version of your expression! I believe your question is missing some information but I would love to help in any way I can. Here is how I simplified +9x + 5y + 26y into its simplest form.

Step 1: Add like terms (Add the numbers together with the same terms)

9x + ( 5y + 26y)

Step 2: After adding like terms, you'll be left with 9x + 31y

9x + 31y

Answer:

A is the correct option.

Step-by-step explanation:

1/8 * 4 = 1/2

Answer:

Star and square

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The origin is the center of the 2 bold lines. As you can see, the square is 1 unit  right and then 2 units up. The star is 2 units left and 1 unit up. And the triangle is 2 units down and 2 units left.

square: 1 then 2

star: 2 then 1

triangle: 2 then 2.

From this you can see that the square and the star are the same distance from the origin.

So the answer is B.

Explanation:

The angles marked with a single arc pair up and are congruent (angles ACB and DFE). This forms one "A" of "ASA". The other "A" refers to the angles BAC and EDF as shown by the double arcs.

The "S" refers to the pair of congruent sides between the angles mentioned. Specifically, the diagram shows that AC = FD based on the tickmarks on those segments.

Answer:

Segment OP = 1

Step-by-step explanation:

Segment OQ = Segment OP + Segment PQ

        3x - 10 = (x - 3) + 1

        3x - 10 = x - 2            Solve for x

           2x - 10 = -2              

            2x = 8

            x = 4

Segment OP = x - 3  so 4 - 3 = 1

Check:   3x -10 = (x - 3) + 1 ;  3 · 4 -10 = (4 - 3) + 1 ; 2 = 2  

Answer:

y = 2x -4

Step-by-step explanation:

Answer:

Angles 2, 3, 4, and 5

Step-by-step explanation:

-  angle 5 is a vertical angle to the given angle

-  angle 4 is an alternate interior angle to the given angle

-  angle 3 is a corresponding angle to the given angle

-  angle 2 is a consecutive interior angle to the given angle

hope this helps!

Answer:

1. vertical or opposite angles and equal

2. adjacent and supplemental and equal 180 when added

3. same as 1

4. adjacent and complementary and equal 90 when added

5. same as 4

6. adjacent angles side by side share one arm

7. corresponding or F pattern and equal

8. alternate interior or Z pattern and equal

9. alternate exterior and equal

10. same as 7

Step-by-step explanation:

Answer:

It is 54 degrees

Step-by-step explanation:

Since x is corresponding to the angle below 126, that means that 126 and x are supplementery. So 180-126=54

Hope this helps!

Answer:

w = 242

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 253 from both sides.

Step 3: Divide both sides by -1.

Step 4: Check if solution is correct.

Therefore, w = 242.

Have a lovely rest of your day/night.

Answer:

[tex](5 x 10⁶)× (5 x 10⁷) [/tex]

[tex]5000000×50,000,000[/tex]

[tex]25000000000000[/tex]

Step-by-step explanation:

Thanks!!!!!!

Answer:

2.5 * 10^14

Step-by-step explanation:

(5 x 10⁶) *  (5 x 10⁷)

= (5 * 1000000) * (5*10000000)   Step 1

tip : When multiplying tens with exponents, consider adding zeros according to the exponent the 10 is raised to. For example, 10⁶ would be 1000000 (six zeros)

= (5000000) * (50000000)  Step 2

= 250000000000000. Step 3

= 2.5 * 10^14    Step 4  move your decimal point to the left (14 times) until you you condense your value into a smaller decimal (2.5)

[tex]\Huge \boxed{\mathfrak {ANSWER }}[/tex]

[tex]\large \boldsymbol {} \displaystyle \frac{1}{5-\sqrt{2} } \cdot \frac{5+\sqrt{2} }{5+\sqrt{2} } =\frac{5+\sqrt{2} }{(5)^2-(\sqrt{2)}^2 } =\boxed{\frac{5+\sqrt{2} }{23} }[/tex]

[tex]\sf{n=\dfrac{7}{2}}[/tex]

Explanation:-

[tex](\sqrt{3})^{7}=3^{n}\\\\(3^{\footnotesize{\dfrac{1}{2}}})^{7}=3^n\\\\3^{\small{\dfrac{7}{2}}}=3^{n}\\\\n=\dfrac{7}{2} [/tex][tex]\sf{ }[/tex]

Answer:

the answer is b) volume because the other options are for 2d objects

is the 8 oranges 4.32 a piece?

Answer: [b + 4 = -10]

Step-by-step explanation: We are given the equation b = -14 and told to, given this information, evaluate b + 4 = ? and find ?. Given b = -14 we can plug in -14 for b in b + 4 = ?. This gives us -14 + 4 = ?. Adding this up gives us the answer of -10. Hope that this makes sense and helps, and good afternoon to you!

-Show work-

[tex]b=-14\\(b)+4=?[/tex]

[tex](-14)+4=?[/tex]

[tex]10 = ?\\?=10[/tex]

Answer:

Yes

Step-by-step explanation:

Yes, because the value of x is not constant

Answer:

y=-4/3x+3

Step-by-step explanation:

Given :-

To Find :-

Answer :-

As C is the midpoint , we can say that the line is BCD . So that ,

Substitute the values ,

Hence the value of BD is 9x + 7 .