Step-by-step explanation:
k = √(49 - 12√5)
= √(45 + 4 - 2 √180)
= √45 - √4
= 3 √5 - 2.
<em>So, k + 2 = 3 √5 - 2 + 2 = 3 √5.</em>
Angle 6&5 are supplementary so they make a line. (Add to 180.)
(3x-34)+124=180 combine like terms
3x + 90=180 subtract 90 from both sides
3x = 90. Divide by 3
X = 30
I take the points that you gave. Let named A(0,-3) and B(2,1)
The slope coefficient is S= (yb-ya)/(xb-xa)
S= (1-(-3))/(2-0) => S= (1+3)/2 = 4/2= +2 => S= +2
The correct answer is positive slope
Good luck!!!
Answer:
12
Step-by-step explanation:
2x (3) = 72 so 6x = 72 and so x = 12
Answer:
The approximate length of the garden is at least 22 feet and at most 51 feet.
Step-by-step explanation:
A rectangular garden must have a perimeter of 145 feet.
Let x feet be the lengths of the garden. Then the width of the garden can be found using the perimeter:

The area of the garden is

The area must be at least 1,100 square feet, then

Solve this quadratic inequality:
![D=(-72.5)^2-4\cdot 1,100=856.25\\ \\\sqrt{D}=25\sqrt{1.37}\\ \\x_1=\dfrac{72.5-25\sqrt{1.37}}{2}\approx 22\\ \\x_2=\dfrac{72.5+25\sqrt{1.37}}{2}\approx 51\\ \\(x-22)(x-51)\le 0\\ \\x\in [22,51]](https://tex.z-dn.net/?f=D%3D%28-72.5%29%5E2-4%5Ccdot%201%2C100%3D856.25%5C%5C%20%5C%5C%5Csqrt%7BD%7D%3D25%5Csqrt%7B1.37%7D%5C%5C%20%5C%5Cx_1%3D%5Cdfrac%7B72.5-25%5Csqrt%7B1.37%7D%7D%7B2%7D%5Capprox%2022%5C%5C%20%5C%5Cx_2%3D%5Cdfrac%7B72.5%2B25%5Csqrt%7B1.37%7D%7D%7B2%7D%5Capprox%2051%5C%5C%20%5C%5C%28x-22%29%28x-51%29%5Cle%200%5C%5C%20%5C%5Cx%5Cin%20%5B22%2C51%5D)