The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
<h3>How to determine the legs of the triangle?</h3>
The complete question is in the attached image
The given parameters are:
Area = 24
Legs = x and x + 2
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
This gives
0.5 * x * (x + 2) = 24
So, we have:
0.5(x)(x + 2) = 24
Divide through by 0.5
(x)(x + 2) = 48
Expand
x^2 + 2x = 48
Subtract 48 from both side
x^2 + 2x - 48 = 0
Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
Read more about area at:
brainly.com/question/24487155
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Answer:
b= 10 miles/hr and c= 5 miles/hr
Step-by-step explanation:
Let it's downstream and upstream speed be d and u respectively
also speed of the boat be b and speed of stream be c.
as per question d = 150/10= 15 miles/hr
and, u= 150/30= 5 miles/hr
also we know d= b+c = 15.....i and u = b-c= 5....ii
solving i and ii we get b= 10 miles/hr and c= 5 miles/hr
Slope of 2y = x + 5:-
This is y = 0.5 x + 2.5 in slope intercept form so its slope = 0.5
Slope of the line perpendicular to it = -1 / 0.5 = -2
it passes through (2 , 1) so we have
y- 1 = -2(x - 2)
y = -2x + 4 + 1
The answer is y = -2x + 5
Take 3÷2.6=1.153846repeating. So around $1.15. To check you can take the decimal point times by 2.6 and it will give you three.
