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raketka [301]
3 years ago
11

What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

Mathematics
2 answers:
Katarina [22]3 years ago
8 0

Answer:

why didn't you give him brainliest?

Step-by-step explanation:


natka813 [3]3 years ago
6 0
First, we must find the equation of the given line. The slope is "rise over run," or the change in y over the change in x from one point to another. 
The two points shown are (0,-1) and (3,1). In these points, y increases by 2. This means the change in y is 2. In these points, x increase by 3. This means the change in x is 3. Thus, the change in y over change in x is 2/3. This means that the slop of the given line is 2/3. 

In the form y=mx+b, where m is the slope, b is the y intercept. This is because the y intercept occurs when x is 0. If x is zero, mx is zero, so y=b. In other words, when x equals 0, y=b. This creates the point (0,b), which is the y-intercept. Since the y-intercept of the given line is -3, the equation for this line is: y=2/3x-3.

A line parallel to this will need to have the same slope. This allows us to eliminate choices C and D, which do not have the same slope. 

In order for the line to have an x-intercept of (-3,0), y must equal 0 when x is -3, since ordered pairs are (x,y). We can solve the equation using the information we know:
0=((2/3)(-3))+b
This is because we know the slope is 2/3, and that when x is -3, y is 0. 

Then, we can solve from there:
0=(-2)+b (just multiply 2/3 and -3)
2=b (add 2 to both sides)

Thus, the correct equation is: 
B) y=2/3x+2


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Use any method to solve the equation. If necessary, round to the nearest hundredth.7x2 − 16x = 8
Semmy [17]
7x^2 - 16x - 8 = 0

using the quadratic formula x = [ -(-16)+/- sqrt((-16^2 - 4*7-8]  / 2*7

 =   (16 +/1 sqrt 480)  / 14

=  2.71, -0.42     to nearest hundredth
4 0
2 years ago
Anyone know the area?
Elina [12.6K]
Answer:  The area of the triangle is:  " 8.5 cm² " ; 

                                         or, write as:  " 8\frac{1}{2} cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = (\frac{1}{2}) * b * h ;
   
in which:  A = area; 
                 b = base;
                 h = [perpendicular] height;
___________________________________
{also, can be written as:  " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
                             base, "b" = 13 cm ;
[perpendicular] height, "h" =  5 cm ;
______________________________________
A = (b * h) / 2 ;

   = (13 cm * 5 cm) / 2 ; 

   = [ (13 * 5) cm²] / 2 ; 

    = 65 cm² / 2 ;

A  = " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
Answer:  " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
The area of the triangle is:  " 8.5 cm² " ; 

                         or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
5 0
3 years ago
Solve for m: 18d − 2m + 9k < 5k + 10
snow_tiger [21]

18d-2m+9k < 5k+10

18d-2m < -4k +10

-2m < -4k +10 -18d

m  > \frac{-4k+10-18d}{-2} (flipped the sign because we're dividing by a negative)

m  > 2k+5+9d

4 0
2 years ago
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Hope This helps you..!!

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Whats the radius and center of (x+4)^2+(y-2)^2=9
Fiesta28 [93]
I believe the center would be (-4,2) while the radius should be 3.
8 0
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