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Artyom0805 [142]
3 years ago
5

Solve the system of equations by graphing. y=-2x+1 y=-5x+4

Mathematics
2 answers:
Lemur [1.5K]3 years ago
7 0

Answer:

plot points

y=-2x+1

(0,1)

(1,-1)

plot points

y=-5x+4

(0,4)

(1,-1)

Step-by-step explanation:

borishaifa [10]3 years ago
5 0

Answer:

(1,-1)

Step-by-step explanation:

You would graph y=-2x+1 by starting the graph at (0,1) then placing another point at (-1, 3) and drawing a straight line through those points. You would graph y=-5x+4 by starting the graph at (0,4) then placing another point at (-1, 9) and drawing a straight line through those points. The answer would be where the two graphs intersect which is (1,-1).

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It costs $3.00 to rent a boat on the lake for hour. Select ALL the statements that correctly match this ratio.
MrMuchimi

2 hours costs 6 dollars is the only statements that is true

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4 0
2 years ago
What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.
antiseptic1488 [7]

Check the picture below.  So the parabola looks more or less like so.

let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.

Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as  you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5

6 0
3 years ago
What is 224 7/10 I need some help
Fiesta28 [93]
What do you mean. It is equal to 224.7    and     2247/10.    Add to your question and I will explain more in depth.
6 0
3 years ago
Read 2 more answers
Q14
posledela

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

8 0
3 years ago
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kap26 [50]
9-4 and 9+(-4) I believe
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