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tigry1 [53]
3 years ago
8

Only questions 8 and 9 help please!!!

Mathematics
2 answers:
Mama L [17]3 years ago
8 0

Answer:

Step-by-step explanation:

8) y = -2x + 1 and the line passes through (2, - 1)

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y= -2x + 1

Comparing with the slope intercept form, slope = - 2

If two line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of that of the given line. Therefore, the slope of the line passing through (2,-1) is 1/2

To determine the intercept, we would substitute m = 1/2, x = 2 and y = -1 into y = mx + c. It becomes

- 1 = 1/2 × 2 + c = 1 + c

c = - 1 - 1 = - 2

The equation becomes

y = x/2 - 2

9) 3x + y = 5 and the line passes through (-9, 3)

The equation of the given line is

3x + y = 5

y = -3x + 5

Comparing with the slope intercept form, slope = - 3

If two line passing through the given point is perpendicular to the given line, it means its slope is the negative reciprocal of that of the given line. Therefore, the slope of the line passing through (- 9, 3) is 1/3

To determine the intercept, we would substitute m = 1/3, x = -9 and y = 3 into y = mx + c. It becomes

3 = 1/3 × -9 + c = - 3 + c

c = 3 + 3 = 6

The equation becomes

y = x/3 + 6

mina [271]3 years ago
5 0

Answer:

Step-by-step explanation:

Perpendicular slopes are the opposite reciprocals of the slopes given.  Our slope in 8 is -2.  That means that the perpendicular slope is 1/2.  If the line goes through (2, -1), then

y-(-1)=\frac{1}{2}(x-2) and

y+1=\frac{1}{2}x-1 and

y=\frac{1}{2}x-2

9 is a tiny bit trickier because we don't have the slope, the x term, on the opposite side of the equals sign from the y.  Let's do that and then we can determine the slope of that given line.  Moving over the 3x and isolating the y:

y = -3x + 5

So the slope is -3.  That means that the perpendicular slope is 1/3.  If the line goes through (-9, 3), then

y-3=\frac{1}{3}(x-(-9)) and

y-3=\frac{1}{3}(x+9) and

y-3=\frac{1}{3}x+3 so

y=\frac{1}{3}x+6

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sergiy2304 [10]
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252 x 2 = 504

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Answer: 168 yards
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3 years ago
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Find the area of each parallelogram plz help
xxTIMURxx [149]
Answer:  The area of the parallelogram is:
_______________________________________________________
\frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
_______________________________________________________
Explanation:
_______________________________________________________
Area of a parallelogram:
_______________________________________________________
 A = base * height = b * h ;

From the figure (from the actual "question"):
_______________________________________
         b = 50.5 in.

         h = 23.25 in.
____________________________________________________________
Method 1)  A = b * h =
                 
                     =  (50.5 in) * (23.25 in) = 1174.125 in² ; or, write as:  1174 <span>⅛ .
</span>____________________________________________________________
Method 2)  A = b * h =
             
                      =  (50 ½ in) * (23 <span>¼ in) =
   
                      =    (</span>\frac{101}{2} in) * (\frac{93}{4}<span> in) ;
</span>___________________________________________________________
Note:  "50 ½ " = [(50*2) + 1 ] / 2  = \frac{101}{2} ;

Note:  "23 ¼ " = [(23*4) + 1 ] / 4  = \frac{93}{4} ;
____________________________________________________________
→  A =  (\frac{101}{2} in) * (\frac{93}{4} in) ;
 
→  A = \frac{(101*93)}{(2*4)}  in² = \frac{9393}{8}  in² ; 
          
→  A = (9393/8) in² =  
         
→  A  = \frac{9393}{8}  in² = 1174 ⅛  in² = 1174.125 in² .
________________________________________________________
5 0
3 years ago
Learn with an example
Daniel [21]

Answer: 10,000

11 * 2 = 22

5,000 * 2 = 10,000

4 0
3 years ago
Plz help
Semenov [28]
This is a classic example of Scientific Notation. 
5.3 x 10^5 actually equals 530,000
3.8 x 10^4 actually equals 38,000
Since it is asking for the sum of the numbers you are adding.
Your new equation look like this:
530,000 + 38,000 
= 568,000
now all you have to do is count the decimal points. You start from the end zero and count the spaces in between until you get to the tenths place. (Right behind the first number) There are 5
So your answer will be:
 B. 5.68 x 10^5.
5 0
3 years ago
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