Parallel lines have the same slope
y - y1 = m(x - x1)
slope(m) = 2/4
(2,5)...x1 = 2 and y1 = 5
now we sub
y - 5 = 2/4(x - 2)
now if there is a typo and ur slope is 3/4....it would be :
y - 5 = 3/4(x - 2)
Answer:
The answer is given below
Step-by-step explanation:
The equation of a quadratic function is given by:
Ax² + Bx + C where A, B and C are the coefficients of the quadratic equation. If the coefficient of x² (i.e A) is a negative value then the graph opens down, the value of C determines the y intercept.
The equation of a parabola with y-intercept greater than 3 and opens down can be given as -2x² -6x + 4. Since the coefficient of x² is negative it opens down and C = 4, it has a y intercept of 4 > 3
Let us assume a vertical stretch of 2, the new equation becomes:
2(-2x² -6x + 4)
-4x² - 12x + 8
To solve:
-4x² - 12x + 8 = 0
A = -4, B = -12 and C = 8
Using the quadratic formula:
![x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-12) \pm \sqrt{(-12)^2-4(-4)(8)} }{2(-4)}=\frac{12 \pm 16.49}{-8} \\x= -3.6 \ or \ x=0.6](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%20x%3D%5Cfrac%7B-%28-12%29%20%5Cpm%20%5Csqrt%7B%28-12%29%5E2-4%28-4%29%288%29%7D%20%7D%7B2%28-4%29%7D%3D%5Cfrac%7B12%20%5Cpm%2016.49%7D%7B-8%7D%20%5C%5Cx%3D%20-3.6%20%5C%20or%20%5C%20x%3D0.6)
Answer:
The answer to your question is Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)
Step-by-step explanation:
Data
Width = (x² + 2x - 15)/x
Length = (3x² + 4x)/ (5 + x)
Process
1.- Write the formula for the perimeter of a rectangle
Perimeter = 2W + 2L
2.- Substitution
Perimeter = 2(x² + 2x - 15)/x + 2(3x² + 4x)/(5 + x)
3.- Simplification
Perimeter = (2x² + 4x - 30)/x + (6x² + 8x)/(5 + x)
4.- Sum the fractions
Least common factor = x(5 + x)
Perimeter = [(2x² + 4x - 30)(5 + x) + (x(6x² + 8x)] / x(5 + x)
-Simplification
Perimeter = [10x² + 20x - 150 - 2x³ - 4x² + 30x + 6x³ + 8x²] / x(5 + x)
Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)
Answer:
all u need to do is look for the relation b/w the values given to u
Step-by-step explanation:
here it would be the formula of finding the volume of a cone
=> (1/3) (pi) (r)^2 (h) = 1526.01
=> r^2 = (1526.01 x 3) / ( 3.14 x 18)
=> r = √80.99
=> r = 8.99
therefore, diameter = 2 x radius
= 2 x 8.99 = 17.9