Answer:
Leg side along the wall = x ft = 8 ft
The other leg side = 7+x ft = 7+8=15 ft
The Hypotenuse =9+x ft = 9+8 = 17 ft
Step-by-step explanation:
In the question, the shape of the pool is right triangle.
Let the leg side along the wall to be the x ft
Let the other leg side to be 7+x ft
Let the longest side/hypotenuse to be x+9 ft
Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse
This means;
Expand the terms in brackets
collect like terms
solve for x in the quadratic equation by factorization
Taking the positive value of x;
x=8ft
Finding the lengths
Leg side along the wall = x ft = 8 ft
The other leg side = 7+x ft = 7+8=15 ft
The Hypotenuse =9+x ft = 9+8 = 17 ft
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
Answer:
Expression: 3.5((12x18) + 13²)
Step-by-step explanation:
Since George is going to put carpeting in two different rooms, one rectangular and one square, you need to find the area of each room, add the sum and then multiply the total area needed by the cost per square foot of carpet. The area of a rectangle is: a = lw, where l=length and w = width. The area of a square is: a = s², where s = side of the square. Take the sum of these two areas would be (12 x 18) + 13² or 213 + 169 = 382. Since the cost of the carpet is the same per square foot, you can multiply the entire sum by the cost of $3.50 or: 3.5((12 x 18) + 13²) or 3.5(382) = $1,337.
The height of the image of the ditance from Elena's chin to her head after it has been scaled 80% 3 times is 76.8 mm
<h3>What is the height of the image after it has been scaled?</h3>
When an image is scaled, it means that its dimensions have been reduced by a certain percentage. In this question, the image is reduced by 80%.
The height of the image after it has been scaled = 150 x 0.8^3 = 76.8 mm
To learn more about scale drawings, please check: brainly.com/question/26388230
