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Lubov Fominskaja [6]
3 years ago
6

Write an equation for the line that passes through (8,6) and (-8,2)​

Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

y=1/4x+4

Step-by-step explanation:

1. y1-y2/x1-x2 = slope

6-2/8--8

6-2/8+8

4/16

1/4 = slope

2. y=mx+b (m=slope and b= y-intercept)

y=1/4x+b

(plug in one set of coordinates for x and y)

6=1/4(8)+b

6=2+b

6-2=b

4=b

(plug in 4 as y-intercept)

y=1/4x+4

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The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:
weqwewe [10]

SOLUTION

The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

S_{\infty}=\frac{a}{1-r}

Where

\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\  \\ a\text{ is the first term = 1} \\  \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}

So, this becomes

\begin{gathered} S_{\infty}=\frac{a}{1-r} \\  \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\  \\ S_{\infty}=3 \end{gathered}

Therefore, option b is the correct answer

5 0
1 year ago
X^2 + 5x = quadratic equation <br>=​
timama [110]

Hi there!

The question gives us the quadratic equation , and it tells us to solve it using the quadratic formula, which goes as . However, we must first find the values of a, b, and c. The official quadratic equation goes as , which matches the format of the given quadratic equation. Hence, the value of a would be 1, the value of b would be 5, and the value of c would be 3. Now, just plug it back into the quadratic equation and simplify to get the zeros of the equation. 

x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}  

x = \frac{-(5) \pm \sqrt{(5)^2 - 4(1)(3)} }{2(1)}  

x = \frac{-5 \pm \sqrt{25 - 12} }{2}  

x = \frac{-5 \pm \sqrt{13} }{2}  

x = \frac{-5 \pm 3.61 }{2}  

x = \frac{-5 + 3.61 }{2}, x = \frac{-5 - 3.61 }{2}

x=-0.695 \ \textgreater \ \ \textgreater \  -0.7, x= -4.305 \ \textgreater \ \ \textgreater \ x=-4.31

Therefore, the solutions to the quadratic equation  are x = -0.7 and x = -4.31. Hope this helped and have a phenomenal day!

Your answer is 4.31

4 0
3 years ago
What is 5u+10u for math 8?
blsea [12.9K]

Answer:

(5+10)u

= 15u

is the solution

6 0
1 year ago
Solve for A <br> ASAP ANSWER
vlada-n [284]

Step-by-step explanation:

A = B

7x + 40° = 3x + 112°

7x - 3x = 112° - 40°

4x = 72°

x = 18°

A = 7x + 40°

= 7(18°) + 40°

= 126° + 40°

= 166°

hope it help

can you help to answer my question? my math is better ,but my english is bad ,can you help me,please

5 0
3 years ago
Jonas wants to paint the walls of his bedroom and the ceiling. The dimensions of his room are 7 feet by 12 feet by 8 feet.
sleet_krkn [62]

Answer:

The surface area that will be painted is 376 ft2.

7 0
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