Answer:
s = 10w
Step-by-step explanation:
We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:
"b" - for the y-intercept (where the graph hits the y-axis)
"m" - for the slope (how steep the line is)
"x" and "y" - coordinates that satisfy the equation (points on the line)
From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.
To find the slope, "m", use the equation . To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.
Point 1 (0, 0) x₁ = 0 y₁ = 0
Point 2 (1, 10) x₂ = 1 y₂ = 10
Substitute values
Subtract to simplify
Simplify the fraction
m = 10 Slope of the line
Since we know "m" and "b", we can write the equation:
y = mx + b
y = 10x + 0
y = 10x
We are not using "x" and "y" in this case. Change them according to the question.
x => w
y => s
y = 10x => s = 10w
Answer:
x=4.8
This here you use Pythagorean Theorem.
Step-by-step explanation:
a^2+b^2=c^2
The longest side is c. And the two legs are a and b.
So it'd be 11^2+x^2=12^2
121+x^2=144
Subtract 121 from both sides.
x^2=23
Then take the √ of x^2 and 23
So √x^2=√23
x=4.8
Hope this helps
P=2w+(2w-3)
60=4w-3
63=4w
15.75=w
l=2w-3
l=(2×15.75)-3
l=31.5-3
l=28.5
This answer doesn't add up so if you meant the COMBINED width then:
P=w+(2w-3)
60=3w-3
63=3w
21=w
l=2(21)-3
l=42-3
l=39
(This answer checks out so this is probably what you meant hope I helped)
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation
-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 =
<span>
<span>
<span>
3.1622776602
</span>
</span>
</span>
x1 =
<span>
<span>
<span>
13.1622776602
</span>
and don't forget that square root of 10 also equals </span></span><span><span><span> -3.1622776602
</span>
</span>
</span>
x2 = 10
-<span>
<span>
<span>
3.1622776602
x2 = </span></span></span>
<span>
<span>
<span>
6.8377223398
</span>
</span>
</span>
Step-by-step explanation:
circumference= 3.142*diameter
Diameter of main Street park is 30
Diameter of uptown park is 16
3.142*30=94.26
3.142*16=30.272
94.26-30.272=43.988
round off to tenth =44.0km