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svp [43]
3 years ago
8

Solve the systemof equations y=3x X=-2y+70

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

35?

Step-by-step explanation:

3x+2y=70

Geometric figure: Straight Line

Slope = -3.000/2.000 = -1.500

x-intercept = 70/3 = 23.33333

y-intercept = 70/2 = 35

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 35/1 so this line "cuts" the y axis at y=35.00000

y-intercept = 70/2 = 35

Calculate the X-Intercept :

When y = 0 the value of x is 70/3 Our line therefore "cuts" the x axis at x=23.33333

x-intercept = 70/3 = 23.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 35.000 and for x=2.000, the value of y is 32.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 32.000 - 35.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -3.000/2.000 = -1.500

Geometric figure: Straight Line

Slope = -3.000/2.000 = -1.500

x-intercept = 70/3 = 23.33333

y-intercept = 70/2 = 35

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A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.I
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Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.

We also need the width of the big rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x
Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
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0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]

x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10

We can only use the positive value of x since the context is length

Hence, x = 60


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3 years ago
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Answer:

p  is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

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thus,

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p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

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P ( x = 3.71, y = 6.71)

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