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Mark brainliest please
Answer:
12 miles
Step-by-step explanation:
sorry if im wrong
Answer:
50% increase
Step-by-step explanation:
please award brainiest thank and rate 5 star
Answer:
a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle
Step-by-step explanation:
Let l = the original length of the original rectangle
Let w = the original width of the original rectangle
From the description of the problem, we can construct the following two equations
l=2*w (Equation #1)
(l+4)*(w+4)=l*w+88 (Equation #2)
Substitute equation #1 into equation #2
(2w+4)*(w+4)=(2w*w)+88
2w^2+4w+8w+16=2w^2+88
collect like terms on the same side of the equation
2w^2+2w^2 +12w+16-88=0
4w^2+12w-72=0
Since 4 is afactor of each term, divide both sides of the equation by 4
w^2+3w-18=0
The quadratic equation can be factored into (w+6)*(w-3)=0
Therefore w=-6 or w=3
w=-6 can be rejected because the length of a rectangle can't be negative so
w=3 and from equation #1 l=2*w=2*3=6
I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.
Answer:
Linear approximation is given by: 
Step-by-step explanation:
We are given the following information in the question:
Number of citations: 5 7.5 10 15 20
Outputs Residuals: 3 6 10 5 6
We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).
Linear approximation is given by:
The equation of line is given by:
where, 
is the point through which the line passes.
The equation of line is:
The above equation is the required linear approximation.
