Let x,y be the two numbers.
Given that one number is 5 greater than another.
Let x be the smaller number ans y be the greater number.
That is y=x+5. Let this be the first equation.
And also given that product of the two numbers is 84.
That is x*y = 84, let us plugin y=x+5 here.
x*(x+5) = 84
x^2 + 5x -84 = 0.
x^2+12x-7x-84 = 0
x(x+12)-7(x+12) =0
(x-7)(x+12)=0
That is x= 7 or -12.
If x=7, y= 7+5=12.
If x=-12, y= -12+5 = -7.
Hence two positive numbers corresponding to given conditions are 7,12.
And two negative numbers corresponding to given conditions are -12,-7.
Answer:
yes because it is in the positive side
The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The side length of the triangle is shown in the option:
As we know,
Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
Using Pythagoras' theorem:
From option(D):
3, 4 and 5
(3)² + (4)² = 5²
9 + 16 = 25 (True)
Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.
Learn more about the right-angle triangle here:
brainly.com/question/3770177
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Answer:
Solve for x+y=10
6x+35y=118
Step-by-step explanation:
I would solve it for you but my calculator isn't working rn. You could also use a picture calculator and it will give you a more in depth explanation. Hope this helps!
Your answer is -2 1/12. :)
