Answer:
The linear relationship is given by, y = 4x + 3
Step-by-step explanation:
The points given are ( as (x,y) pair)
x y
0 3
2 11
4 19
6 27
The given lines are ,
1) y = 3x + 4
2) y = 3x + 8
3) y = 8x + 3
4) y = 4x + 3
Now , by inspection or trial and error method only line (4) does satisfy all the points, so the linear relationship is given by,
y = 4x + 3
To add those fractions, you must find a common denominator for all of them. To find this, find a number that is a multiple of all three denominators. Then, multiply the top of the fraction by the same number you multiplied to get the common denominator. Finally you add all of the numerators together and keep the denomiator the same.
Example: 1/2+1/4+1/8
The demominators all are factors of the multiple 8. Therefore, we will use 8. Then, since we multiplied 2 by 4 to get eight for the first fraction, we will multiply the top number by 4 also. The new fraction will look like this: 4/8. After you have done that to all of the fractions, the equation will look like this: 4/8+2/8+1/8. Finally add all of the top numbers together and keep the denominator the same. The answer would be 7/8
Hope this helped :) Good luck
The ladder can safely reach up to 22.6 ft.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.
Given that, a ladder has a length of 24 ft, and it should be placed at least 8 feet from the base of the side of the house.
We need to find how high can the ladder safely reach,
Using the Pythagoras theorem here,
24²-8² = 576-64 = 512 ft
Hence, the ladder can safely reach up to 22.6 ft.
Learn more about Pythagoras theorem, click;
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