Pythagorean Theory, a^2 + b^2 = c^2
24^2 + 7^2 = x^2
527 = x^2
x = 22.96
Answer:
<h2>x = -2, y = 1</h2>
Step-by-step explanation:
given the system of equations y=1/2x+2 and y=-2x+-3, since the 2 equations are functions of y, we will equate both equations together and calculate the value of x as shown
1/2x+2 = -2x-3
x/2+2x = -3-2
5x/2 = -5
5x = -10
x = -10/5
x = -2
Substituting x = -2 into any of the equation to get the value of y we have;
y = -2(-2)-3
y = 4-3
y = 1
The solution to the system of equation (x, y) = (-2, 1)
x=3, you can find this by using finding common bases for equation b because 243=3^5. Because of that you can get rid of three on both sides to get the equation 2x-1=5 and then just solve for x to get x=3. For the first equation 5^3=625 so that also proves x=3.
Sorry if my explanation is a little disorganized if you need more help feel free to ask
Answer:
• 72 ft²
Step-by-step explanation:
The bottom side length of the triangle is the difference between the top base length and the bottom base length:
13 ft - 5 ft = 8 ft
The vertical side length of the triangle is the same, because the triangle is an isosceles right triangle.
Since we know the base lengths and height of the trapezoid, we can use the usual formula for the area:
A = (1/2)(b1 +b2)h
= (1/2)(5 ft + 13 ft)(8 ft) = 72 ft²
