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3 years ago

What is the equation,in point slope form,for a line that goes through (8,1) and has a slope of -5/6

Mathematics

2 answers:

Lilit [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Point-slope form:

y - y1 - m(x - x1)

y - 1 = -5/6(x - 8)

Masja [62]3 years ago

3 0

Report this because i got it wrong lol

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
\end{cases}\implies 3^4=3^n\implies 4=n$

3 0

3 years ago

This probability distribution shows the typical grade distribution for a Geometry course with 35 students . A B С DF Grade Frequ

Nataly [62]

Answer:

$p=0.29$

Step-by-step explanation:

$Total ~ of ~students=35$

$Probability =10/35=0.29$

hope it helps....

have a great day!!

4 0

3 years ago

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A class votes for their class President Kennedy receives 21 votes which is 6% of the vote what is the total number of students w

Katarina [22]

Answer:

Step-by-step explanation:

literally says it in the text ight

6 0

3 years ago

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Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Svetllana [295]

Area of a triangle= 1/2 (ab) (sin C)
= 1/2 (9 x 11.5) (sin 63.4)
= 46.27

3 0

3 years ago

How do i do this idk how to do

marysya [2.9K]

Let's find the perimeter first by adding all the side lengths together. There are two missing side lengths, which we can find by taking the side opposite them and subtract the side behind the missing side from them.

I've attached a diagram showing how to find the side lengths.

Now let's add all the side lengths together: 4 cm + 8 cm + 8 cm + 2 cm + 4 cm + 6 cm = 32 cm

The perimeter of this figure is 32 cm.

---

To find the area we can divide this figure into 2 rectangles. On the second attached diagram, I've split the figure into two and labeled the length and width of each rectangle.

Area of a rectangle = length * width

Area of red labeled rectangle = 4 cm * 2 cm = 8 cm²

Area of yellow labeled rectangle = 8 cm * 4 cm = 32 cm²

Add the two areas together: 8 + 32 = 40

The area of the figure is 40 cm².

6 0

3 years ago

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