To figure this out you would need to create a rectangle with dimensions that give you an area of 7 ft.². The easiest example would be a rectangle that is one by seven. If the scale is 1:16, that means for every foot it is actually representing 16 feet. The actual length and width would be found by multiplying 1×16 and 7×16. The true dimensions then would be 16 x 112. Multiply this together to get a total area of 1792 ft.².
Answer:
(- 1, 5 )
Step-by-step explanation:
Using the method of substitution.
Given the 2 equations
3x + 2y = 7 → (1)
x - 4y = - 21 → (2)
Rearrange (2) expressing x in terms of y by adding 4y to both sides.
x = 4y - 21 → (3)
Substitute x = 4y - 21 into (1)
3(4y - 21) + 2y = 7 ← distribute and simplify left side
12y - 63 + 2y = 7
14y - 63 = 7 ( add 63 to both sides )
14y = 70 ( divide both sides by 14 )
y = 5
Substitute y = 5 into (3)
x = (4 × 5) - 21 = 20 - 21 = - 1
Solution is (- 1, 5 )
1. linear equation
2. rearrange the equation so 4y = 12 - 3× and then divide both sides by 4 to get:
y = 3 - 3/4×
3. equation of a straight line / linear equation
4. gradient is + 3
5. not sure sorry
6. 3x = 12 - 4y. Divide each side by 3 to get:
x = 4 - 4/3y
7. use y = 3 - 3/4x by doing and x and y table. So when x = 1, y = 3 - 3/4 (1) (replace the x which the x value you've chosen). Then plot.
8. Make up any problem such as weather, food, etc.
Hope that helps !
Answer:
the intrinsic growth rate of the population = 0.67 - 0.06 = 0.61 or 61%
Step-by-step explanation:
since populations increase exponentially, the same will happen here
in 5 years the population should be:
P₅ = P₀e°⁶¹ˣ⁵ = 140e°⁶¹ˣ⁵ = 2,956.15 ≈ 2,956
in 10 years the population will be:
P₁₀ = P₀e°⁶¹ˣ¹⁰ = 140e°⁶¹ˣ¹⁰ = 62,420.09 ≈ 62,420
when you are using exponential growth rates, we have to assume that r will always remain constant
The equation of a line that is perpendicular to y=7/5x+6 and passes through the point (2 -6) is:
Step-by-step explanation:
Given equation of line:
y=7/5x+6
The equation is in slope-intercept form. In this case, the co-efficient of x is the slope of the given line
So the slope will be: 7/5
As we know that the product of slopes of perpendicular lines is -1
The general form is:
Putting the value of slope
To find the value of b, putting the point (2,-6) in the equation
Putting the values of b and m
The equation of a line that is perpendicular to y=7/5x+6 and passes through the point (2 -6) is:
Keywords: Equation of line, Slope
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