Answer:
y = √(x - 2) / 2
Step-by-step explanation:
y = 2x^2 + 2.....switch ur x and y and solve for y
x = 2y^2 + 2
x - 2 = 2y^2 ...divide both sides by 2
(x - 2) / 2 = y^2...now take the sqrt of both sides, eliminating the ^2
(√ (x - 2) / 2) = y
Answer:
40 ft²
Step-by-step explanation:
The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle
✔️Area of triangle 1:
Area = ½*bh
b = 6 - 3 = 3 ft
h = 11 - 7 = 4 ft
Area of triangle 1 = ½*3*4 = 6 ft²
✔️Area of triangle 2:
Area = ½*by
b = 2 ft
h = 3 ft
Area of triangle 2 = ½*2*3 = 3 ft
✔️Area of rectangle = L × W
L = 11 ft
W = 3 ft
Area of rectangle = 11 × 3 = 33 ft
✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²
Using the mean of the data-set, it is found that the missing height in the stem-and-leaf plot is given by:
D. 65 in.
<h3>What is the mean?</h3>
The mean of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.
In this problem, following the key of the stem-and-left plot, there are 8 observations, given as follows:
54, 55, 56, 61, 63, 64, 70 and the missing value x.
The mean is of 61, hence:

423 + x = 61 x 8
x = 65.
Hence option D is correct.
More can be learned about the mean of a data-set at brainly.com/question/24628525
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Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x = 
Therefore, Perimeter = 2(a + x) = 2(a +
) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.
1 meter is 3.3 ft.....so 70 meters is (70 * 3.3) = 231 ft.....so ft per second is 231 ft per second
at 2 seconds.....231 * 2 = 462 ft