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azamat
3 years ago
15

Determine the intercepts of the line

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Answer:

y-intercept:  (0,5); x-intercept:  (5/2, 0)

Step-by-step explanation:

The equation of the line is given:  -4x + 7 = 2y - 3.

To find the x-intercept, set y = 0 and solve for x:

-4x + 7 = 0 - 3.  This becomes -4x = -10, or x = 5/2.  The x-intercept is (5/2, 0).

To find the y-inercept, set x = 0 and solve for y:

0 + 7 = 2y - 3, or 2y = 10, or y = 5.  Then the y-intercept is (0, 5).

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22/5 times 2 times 1/3
LUCKY_DIMON [66]

Answer:

44/15 or maybe 2 14/15

Step-by-step explanation:

4 0
3 years ago
A rectangular field is to be enclosed by a fence and divided
Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0
3 years ago
Can you help me please?​
melisa1 [442]

Answer:

it is a it the first one. 7/13

5 0
3 years ago
Read 2 more answers
4. A rectangular field has a perimeter of 300m. What is the area of the field if the length of
USPshnik [31]

Answer:

Step-by-step explanation:

5 0
3 years ago
What is the rate of change between (29,9) and (33,10)?
Tema [17]

Answer:

\frac{1}{4}

Step-by-step explanation:

The rate of change is a measure of the slope

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)

m = \frac{10-9}{33-29} = \frac{1}{4} ← rate of change

6 0
3 years ago
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