4x²-36x/x-9=4x(x-9)/x-9=4x
4x=0
f(0)=0
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Ratio given 1:2
Let's suppose the ratio as x : 2x
Adding the ratio = 3x
![\frac{x}{3x} \times 120 \\ =40](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B3x%7D%20%20%5Ctimes%20120%20%5C%5C%20%3D40)
![\frac{2x}{3x} \times 120 \\= 80](https://tex.z-dn.net/?f=%20%5Cfrac%7B2x%7D%7B3x%7D%20%20%5Ctimes%20120%20%5C%5C%3D%2080)
40 and 80 are in the ratio 1:2 of 120.
Hope it helps!!!
Answer:
Both figures have a perimeter of 112 inches.
Step-by-step explanation:
Question 5:
You are given a 6-sided shape, but only 4 sides. To find the perimeter, you need to account for the lengths of the other two sides. As all the angles are right angles, the length of the top horizontal side is equal to the combined length of the bottom two horizontal sides. Similarly the length of the left vertical side is equal to the combined length of the right two vertical sides. Because of this, you actually don't need to find the lengths of the unknown sides to answer the question.
This means the perimeter is:
![P=(31 \times 2)+(25 \times 2)\\P=62+50\\P=112](https://tex.z-dn.net/?f=P%3D%2831%20%5Ctimes%202%29%2B%2825%20%5Ctimes%202%29%5C%5CP%3D62%2B50%5C%5CP%3D112)
Question 6:
Exactly the same process as above. Just double the longest vertical and horizontal sides (since the sum of the corresponding shorter sides is equal). You'll notice the longest horizontal side is 31, and the longest vertical side is 25...exactly the same as the previous question.
Therefore, the perimeter will again be 112 inches.
These two questions illustrate the difference between area and perimeter. Even though the perimeter of the two shapes is the same, the area of the second shape is larger than the area of the first.
Hello! An equation in slope-intercept form is y = mx + b, where "m" is the slope, "b" is the y-intercept", and the variables "y" and "x" remain unfilled. The slope is 6 and the y-intercept is -10. When you add a negative number, you are actually subtracting. The equation in slope intercept form is y = 6x - 10.
The quadrilateral ABCD is an isosceles trapezoid, and the length of AC for the quadrilateral is 19 feet
<h3>How to determine the
length of AC?</h3>
The quadrilateral ABCD is an isosceles trapezoid
This means that:
- Opposite sides are equal
- The diagonals are also equal
From the above highlights, we have:
AC = 7ft + 12ft
Evaluate the sum
AC = 19 ft
Hence, the length of AC for the quadrilateral is 19 feet
#SPJ1
Read more about quadrilaterals at:
brainly.com/question/5715879