Answer:
6, 21, and 23 inches
Step-by-step explanation:
The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.
- This means that we can algebraically solve the equation
Step 1: Combine like terms.
Step 2: Subtract 14 from both sides.
Step 3: Divide both sides by 6.
Step 4: Plug in the value of n as 6 in each side.
Therefore, the side lengths are 6, 21, and 23 inches.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Y = sin(x^2)
Use the chain rule.
We want dy/dx.
dy/dx = cos(x^2)*2x
dy/dx = 2xcos(x^2)
Did you follow?
Answer:
Step-by-step explanation:
Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.
Answer:
Area = 77ft²
Perimeter = 44 9/20 feets
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Base = 19 1/4 feets = 77/4 feets
Height = 8 feets
Area = 1/2 * 77/4 * 8
Area = (77 * 8) / 8
Area = 77 feet²
Perimeter of a triangle :
Sum of the sides
Perimeter = a + b + c
Perimeter = 19 1/4 + 10 + 15 1/5
Perimeter = 44 + (1/4 + 1/5)
Perimeter = 44 9/20
Let's solve ~
Equation of directrix is : y = 1, so we can say that it's a parabola of form : -
- h = x - coordinate of focus = -4
- k = y - coordinate of focus = 5
- a = half the perpendicular distance between directrix and focus = 1/2(5 - 1) = 1/2(4) = 2
and since the focus is above the directrix, it's a parabola with upward opening.
