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zlopas [31]
3 years ago
11

The line passes through (2,1) and (6,7)

Mathematics
1 answer:
Ilya [14]3 years ago
3 0
............y=3/2x-2
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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?
Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

S=180^o(n-2)

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

S=180^o(8-2)=1,080^o

so

The linear equation that represent this problem is

\frac{x}{2}+7x=1,080

solve for x

\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o

so

\frac{x}{2}=72^o

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0
3 years ago
X^3+x²-36 Find all real zeros.
Harman [31]

Answer: x=3

Step-by-step explanation:

To find the zeros, you want to first factor the expression.

x³+x²-36

(x-3)(x²+4x+12)

Now that we have found the factors, we set each to 0.

x-3=0

x=3

Since x²+4x+12 cannot be factored, we can forget about this part.

Therefore, the zeros are x=3. You can check this by plugging the expression into a graphing calculator to see the zeros.

4 0
4 years ago
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
LiRa [457]

Answer:50%

Step-by-step explanation:

4 0
3 years ago
Help me solve this equation and show work <br><br> 11d + 17b = 95 <br> d + b = 7
sweet-ann [11.9K]

Answer:

{d,b}={4,3}

Step-by-step explanation:

[1]    11d + 17b = 95

  [2]    d + b = 7

Graphic Representation of the Equations :

   17b + 11d = 95        b + d = 7  

 

Solve by Substitution :

// Solve equation [2] for the variable  b

 [2]    b = -d + 7

// Plug this in for variable  b  in equation [1]

  [1]    11d + 17•(-d +7) = 95

  [1]    -6d = -24

// Solve equation [1] for the variable  d

  [1]    6d = 24

  [1]    d = 4

// By now we know this much :

   d = 4

   b = -d+7

// Use the  d  value to solve for  b

   b = -(4)+7 = 3

Solution :

{d,b} = {4,3}

4 0
3 years ago
Read 2 more answers
Scotty earns $48 for babysitting for 6 hours.
Komok [63]

Answer:

I think 1 hour and 6 mins.

Step-by-step explanation:

8 0
3 years ago
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