Answer:
the shapes is going to look like an oval
Step-by-step explanation:
WELCOME TO BRAINLY
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:
x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60
x=60
2x-20=2(60)-20=120-20=100
Solution: the length is 100 m, and the width is 60 m.
To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.
Answer:
107.50
Step-by-step explanation:
Given the following :
Midpoint (S)____F
S y 93 95 97 99 101 103 105 107 109 111 f 19 25 38 17 12 10 5 4 4 2
Calculating the mean and standard deviation using a calculator :
The mean(m) of the data above = 98.12
Standard deviation (sd) = 4.02
Proportion = 99% of population
From z table = 2.33
Using :
Zscore =(x - m) / sd
2.33 = (x - 98.12) / 4.02
2.33 * 4.02 = x - 98.12
9.3666 = x - 98.12
9.3666 + 98.12= x
x = 107.4866
X = 107.50
ANSWER: x=12
EXPLANATION:
9+x/6=11
(54+x)/6=11 (finding common denominator)
x/6=11-54/6 (rearranging terms)
x/6=(66-54)/6 (finding common denominator so 6 gets cancelled from both the sides)
x=12
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:

Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:

Now, we can use simple substitution to solve for m, or the slope.

Therefore, the slope of the line is 1.