Answer:
L = 2500/W
Step-by-step explanation:
Let the fields m be rectangular in nature
Area = LW
Perimeter = 2(L+W)
L is the length
W is the width
Given
Perimeter = 200ft
Area = 2500ft²
Substitute into the formula
200 = 2L+2W
100 = L+W ...... 1
2500 = LW.... 2
From 1; L = 100-W
Substitute into 2
2500 = (100-W)W
100W - W² = 2500
W²-100W+2500 = 0
W²-50W-50W+2500 = 0
W(W-50)-50(W-50) = 0
W - 50 = 0
W =50
Substitute w = 50 into LW = 2500
L = 2500/50
L = 50
Hence the equation that can be used to find the length of the field is
L = 2500/W
Answer:
see explanation
Step-by-step explanation:
To find the x- intercepts set y = 0, that is
- 2x² - 9x + 5 = 0
To factorise the quadratic consider the factors of the product of the coefficient of the x² term and the constant term that sum to give the coefficient of the x- term.
product = - 2 × 5 = - 10 and sum = - 9
The factors are - 10 and + 1
Use these factors to split the middle term
- 2x² - 10x + x + 5 = 0 ( factor the first/second and third/fourth terms )
- 2x(x + 5) + 1(x + 5) ( factor out (x + 5) )
(x + 5)(- 2x + 1) = 0
equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
- 2x + 1 = 0 ⇒ x =
x-intercepts are x = - 5 and x =
The strategy to graph a line actually doesn't depend on the form the equation is presented: it can be the standard form, the slope intercept form, or any other way to write it.
The key point is that you can draw a line if you know two of its points. In fact, all you have to do is draw and connect them.
To sample two points from the equation, just pick any two values for x, and compute the correspondent value for y.
For example, given the line y=3x-7, we can sample x=0 and x=1 (again, this is a totally arbitrary choice), and compute
So, the line passes through the points (0,-7) and (1,-4). Draw these two points and connect them, and you'll have the line.
Answer: Choose the equation of the vertical line passing through the point (-2, 3). A vertical line goes up and down through point (-2, 3), so every point on the line will have the same x coordinate. For example, (-2, 0) and (-2, 1) and (-2, -1) all fall on that vertical line. Therefore, the equation for the line is x = -2 Choose the equation of the horizontal line that passes through the point (-5, 1). A horizontal line goes left and right through point (-5, 1), so every point on the line will have the same y coordinate. For example, (-1, 1) and (0, 1) and (1, 1) all fall on that horizontal line. Therefore, the equation for the line is y = 1.
Step-by-step explanation:
<h2>Plastic Beads = $0.50</h2><h2>Metal Beads = $0.75</h2><h2 />
p = Plastic Beads
m = Metal Beads
Equations:
7p + 5m = 7.25
9p + 3m = 6.75
Make one pair of coefficients the same:
3 * (7p + 5m = 7.25) = 21p + 15m = 21.75
5 * (9p + 3m = 6.75) = 45p + 15m = 33.75
Remove that coefficient;
(45p + 15m) - (21p + 15m) = 33.75 - 21.75
(45p - 21p ) + ( 15m - 15m) = 33.75 - 21.75
24p = 12
24p / 24 = 12 / 24
<h3><u>p = 0.5</u></h3><h3 />
Substitute the result into one of the original equations.
(7 * 0.5) + 5m = 7.25
Rearrange to find the missing value:
7.25 - (7 * 0.5) = 5m
7.25 - 3.5 = 3.75
5m = 3.75
5m / 5 = 3.75 / 5
<h3><u>m = 0.75</u></h3>