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rusak2 [61]
4 years ago
15

1. Slope is -2 and the y-intercept is -6.

Mathematics
1 answer:
Doss [256]4 years ago
6 0

Answer:

Y=-2x -6

Step-by-step explanation:

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*J has coordinates of (10,-2) and n has coordinates of (-4,6) find the midpoint of jn
Slav-nsk [51]
The midpoint of the line JN is calculated by getting the sum of the coordinates and dividing by 2. 
                     x - coordinate = (10 + -4) / 2 = 3
                      y - coordinate = (-2 + 6) / 2 = 2

Therefore, the midpoint of line JN is equal to (3, 2). 
6 0
3 years ago
Read 2 more answers
In the diagram above of ADB where angle B is a right angle. Determine the length of DC to the nearest whole number.
timama [110]

Use tan(angle) = opposite leg/ adjacent leg

BC = tan(45) = x/100

X = tan(45) x 100

X = 100

BD = tan(60) = x/100

X = tan(60) x 100

X = 173

DC = BD - BC = 173-100 = 73

DC = 73

6 0
3 years ago
Identify the y-intercept of the graph of 3x + y = 6
Gelneren [198K]

Answer:

The x-intercept is the place where the line crosses the x-axis. In other words, y=0. The y-intercept is (0,6).

Step-by-step explanation:

3x+y=6

3(0)+y=6

0+y=6

y=6

8 0
3 years ago
Can you help me please
kicyunya [14]

9514 1404 393

Answer:

  • domain: x ∉ {-4, 3}
  • range: y ∉ {1}
  • horizontal asymptote: y=1
  • vertical asymptote: x=3

Step-by-step explanation:

The expression reduces to ...

  \dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)

The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.

  • the domain is all real numbers except -4 and +3

The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.

  • the range is all real numbers except 1

As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*

  (x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1

There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.

  • vertical asymptote at x=3; horizontal asymptote at y=1

_____

* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)

3 0
3 years ago
The radius of the circle is 7 cm. What is the area of the circle in cm2? Leave answer in terms of pi
mash [69]

Answer:

49Pi cm^2

Step-by-step explanation:

Area of a circle = Pi r^2

Radius r = 7

Area = Pi x 7^2

= Pi x 7 x 7

= 49Pi cm^2

7 0
3 years ago
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