Answer:
Smaller number = 12
Larger number = 24
Step-by-step explanation:
Let's call X the smallest number, while Y is the largest number.
In this case, Y = 2X
The equation that represents the given case is,
X + Y = 36
But being Y = 2X we substitute in the equation, obtaining ...
X + 2X = 36
Now we add the X ...
3X = 36
We isolate the X to know its value ...
X = 12
Now we calculate the value of Y ...
Y = 2X
Y = 2 (12)
Y = 24
Smaller number = 12
Larger number = 24
Both conditions are met:
(1) The largest number is twice the smallest number: 12 * 2 = 24
(2) The sum of the two numbers is 36: 12 + 24 = 36
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Hope this helps!
The dimensions of the length of the legs are 15 m and 20 m in the given right triangle.
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Let x be the length of one of the legs. Then the length of the other leg is 2x-10m. We can use the Pythagorean theorem to find the lengths of the legs.
We can write this as an equation:
x² + (2x - 10)² = 25²
5x²- 40x + 100 = 625
5x²- 40x + 100 - 625 = 0
5x²- 40x - 525 = 0
Divided by 5 into the above equation,
x²- 8x - 105 = 0
After solving the above quadratic equation, we get
x = 15 and x = -7
Take x = 15 as the length of one of the legs.
So, the length of the other leg is 2(15)-10 = 20 m.
Thus, the dimensions of the length of the legs are 15 m and 20 m.
Learn more about Pythagoras's theorem here:
#SPJ2
Answer:
y=-1/2x+3
Step-by-step explanation:
Answer:
49/144
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 49 and 144 is 1
Divide both the numerator and denominator by the GCD
49 ÷ 1
144 ÷ 1
Reduced fraction:
49
144
Therefore, 49/144 simplified to lowest terms is 49/144.
Answer:
7/12
Step-by-step explanation:
7 goes into 49 7x times
and
12 goes into 144 12x times
So if we simplify this, the answer would be