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marissa [1.9K]
3 years ago
8

Fill in the blank distributive property

Mathematics
1 answer:
Sav [38]3 years ago
3 0
4(20+1)=4(20)+4(1)=80+4=84

It's still just easier to add first though.
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Find the sum of a finite geometric sequence from n=1 to n=8, using the expression -2(3)^n-1
MissTica
\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}
\end{cases}
\\\\\\
\sum\limits_{n=1}^{8}~-2(3)^{n-1}~~
\begin{cases}
n=8\\
a_1=-2\\
r=3
\end{cases}\implies S_8=-2\left( \cfrac{1-3^8}{1-3} \right)
\\\\\\
S_8=\underline{-2}\left( \cfrac{1-6561}{\underline{-2}} \right)\implies s_8=1-6561\implies S_8=-6560
8 0
3 years ago
Ill give brainliest<br> Triangle Sum Theorem CLASSWORK
Viefleur [7K]

Answer:

8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32  \\  \boxed{x = 4}

<h3>4 is the right answer.</h3>

(7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\  \boxed{x = 8}

<h3>8 is the right answer.</h3>
3 0
3 years ago
Read 2 more answers
What is the area of the parllelogtam shown below
Umnica [9.8K]
<h3>Answer: 16 square units</h3>

Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5

a^2 + b^2 = c^2

3^2 + x^2 = 5^2

9 + x^2 = 25

x^2 = 25-9

x^2 = 16

x = sqrt(16)

x = 4

This is a 3-4-5 right triangle.

The height of the parallelogram is 4 units.

We have enough info to find the area of the parallelogram

Area of parallelogram = base*height

Area of parallelogram = 4*4

Area of parallelogram = 16 square units

Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.

6 0
3 years ago
What is the length of xy
Paladinen [302]
Yeah is there a picture for it or what it cant just be off the top
4 0
3 years ago
John has $7.50 in his CashApp account. He spends $1.50 a day on a Chik Fil A chicken biscuit sandwich. After how many days will
DochEvi [55]

Answer:

5 days

Step-by-step explanation:

7.50 ÷ 1.50 = 5

  1. 7.50 - 1.50 = 6.00
  2. 6.00 - 1.50 = 4.50
  3. 4.50 - 1.50 = 3.00
  4. 3.00 - 1.50 = 1.50
  5. 1.50 - 1.50 = 0
8 0
3 years ago
Read 2 more answers
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