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Vladimir [108]
3 years ago
8

Enter the equation of the line in slope-intercept form.

Mathematics
1 answer:
QveST [7]3 years ago
4 0

Answer:

y = 7/4x + 14

Step-by-step explanation:

0 = 7/4(-8) + b

0 = -14 + b

14 = b

y = 7/4x + 14

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What is the equation of the line shown in the graph? (-3,1) (2,-4)
ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

4 0
2 years ago
Give all solutions if the nonlinear system of equations, including those with no real complex components.
konstantin123 [22]
\left\{\begin{array}{ccc}y=x^2+6x\\4x-y=-24\end{array}\right\\\\substitute:\\\\4x-(x^2+6x)=-24\\\\4x-x^2-6x+24=0\\\\-x^2-2x+24=0\\\\a=-1;\ b=-2;\ c=24\\\\\Delta=b^2-4ac

\Delta=(-2)^2-4\cdot(-1)\cdot24=4+96=100\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\x_1=\frac{2-10}{2\cdot(-1)}=\frac{-8}{-2}=4;\ x_2=\frac{2+10}{2\cdot(-1)}=\frac{12}{-2}=-6\\\\y_1=4^2+6\cdot4=16+24=40;\ y_2=(-6)^2+6\cdot(-6)=36-36=0\\\\Answer:\\x=4\ and\ y=40\ or\ x=-6\ and\ y=0
4 0
3 years ago
Read 2 more answers
Uhhhhhh ples help me
hoa [83]

Answer:

<u>Approximate values according to picture:</u>

  • a = 1.6, b = 4, c = 5.8

<u>The values of given expressions:</u>

  • a) a + b + c = 1.6 + 4 + 5.8 = 11.4
  • b) c - b + a = 5.8 - 4 + 1.6 = 3.4
  • c) c ÷ a + b = 5.8 ÷ 1.6 + 4 = 3.6 + 4 = 7.6 (3.6 is rounded)
4 0
3 years ago
caley is making some punch for her birthday party.She mixes 1/2 litre of cranberry juice,1/1/2 litres of apple juice,2/3 litre o
vlabodo [156]

Answer:

yes it will contain it  

Step-by-step explanation:

.5 + 1.5 + .66 + .8 = 3.46

7 0
3 years ago
A water well rig has dug to a height of -60 feet after one full day of continuous use. if the rig has been running and is curren
Romashka [77]

Given :

A water well rig has dug to a height , H = 60 feet after one full day of continuous use .

To Find :

If the height is currently 143.6 feet how time it been running .

Solution :

It is given that height after 24 hours of use is 60 feet .

So , height loose in 1 hours is :

h=\dfrac{60}{24}\ feet\\\\h=2.5 \ feet

Now , time taken to cover a height of 143.6 feet is :

t = \dfrac{143.6}{2.5}\ hours\\\\t=57.44\ hours

Therefore , time taken is 57.44 hours .

Hence , this is the required solution .

6 0
3 years ago
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