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butalik [34]
3 years ago
12

Can someone solve this problem for me? Show me your steps to solve this problem as well.

Mathematics
1 answer:
AveGali [126]3 years ago
5 0
\bf 3^x=81\qquad 
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^x=3^4\implies x=4

if their base is the same, the exponents must also be the same for the equation to be true.
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PLZ HELP
lana [24]

Answer:

Part A:

To find the total length of the two sides you want to add them together:

(3x^2-2x-1)+(9x+2x^2-2)= you want to combine all like terms

3x^2+2x^2=5x^2, you add your coefficients and keep the exponents the same

-2x+9x=7x, you would combine like terms

-1-2=-3, you would subtract according to Keep, Change, Change

You now have:

5x^2+7x-3= Sides A+B

5x^2+7x-3

Part B:

To find the length of the third side you want to take the perimeter of the triangle and subtract it from our answer in part A

(5x^3+4x^2-x-3)-(5x^2+7x-3)

When subtraction polynomials we want to change the subtraction sign to addition and change the signs of the other number to the opposite sign to prevent making mistakes from subtraction, so you're new equation will look like this:

(5x^3+4x^2-x-3)+(-5x^2-7x+3)

Now we add all like terms again

5x^3, doesn't combine with any others so we leave it the same

4x^2-5x^2=-x^2, subtract them but remember to keep the exponents the same

-x-7x=-8x, again subtract terms but keep variable

-3+3=0, they cancel out so we don't have to worry about putting anything for this one

So now we are left with

5x^3-x^2-8x as our length for the third side

Third side equals 5x^3-x^2-8x

Part C:

For part A we added to get the total of sides B and A

For part B we subtracted the total perimeter from the total lengths of B and A, to figure out what C equals

Hope this helps ;)

4 0
3 years ago
A small piece of metal weighs 0.77 gram. What is the value of the digit in the tenths place?
Lady_Fox [76]
<span>The value of the digit in the tenths place is 7. The value of the digit in the hundredths place is 7. The first number to the right of the decimal is in the tenths place and the second number to the right is in the hundredths place. The 0 is in the ones place and is the first number to the left of the decimal.</span>
4 0
3 years ago
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by (2x + 3)°. What is t
larisa [96]

An isosceles triangle is one in which 2 angles have similar measure while the other one is different. In this case, the 2 vertex angles have a measure of 42 degrees, therefore the third angle which is equal to (2x + 3) is:

(2x + 3) + 42 + 42 = 180

2x + 3 = 96

<span>x = 46.5°</span>

5 1
3 years ago
Read 2 more answers
. . What needs to be corrected in the following construction for copying ∠ABC with point D as the vertex?.
SIZIF [17.4K]
From my research, the image below belongs to the question. From what is seen in the image, there are 2 arcs already drawn with respect to the new vertex. The third arc corresponds to the point where the line DM is made. This line is similar to line BC. So at the point where the second and third arcs would meet, it would be a point similar to a point on line AB.

4 0
3 years ago
Read 2 more answers
when 1 is added to a number and the answer is trebled , it gives the same result as doubling the number and then adding 4, find
Phoenix [80]
X - the number
3(x+1)=2x+4
3x+3=2x+4
3x-2x=4-3
x=1
7 0
2 years ago
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