Answer:
For x^2 + 5x - 14 = 0
x1= -7, x2 = 2
For x^2 + 5x + 6 = 0
x1 = -3, x2 = -2
Step-by-step explanation:
Pls see attached....
Answer:
Diameter of sphere = 18 cm
Step-by-step explanation:
<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>
Diameter = 18 cm
r = 18÷ 2 = 9 cm
h = 12 cm
= π * 9 * 9 * 12 cm³
<h3>Sphere:</h3>
Solid cylinder is melted and turned into a solid sphere.
Volume of sphere = volume of cylinder
![\sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\ r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \ sphere = 18 \ cm}](https://tex.z-dn.net/?f=%5Csf%20r%5E%7B3%7D%3D%20%5Cdfrac%7B%5Cpi%20%2A9%2A9%2A12%2A3%7D%7B4%2A%5Cpi%20%7D%5C%5C%5C%5C%20%20r%5E%7B3%7D%3D9%20%2A%209%20%2A3%20%2A3%5C%5C%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B9%2A9%2A9%7D%5C%5C%5C%5C%20r%20%3D%209%20%5C%20cm%5C%5C%5C%5Cdiameter%20%3D%209%2A2%5C%5C%5C%5C%5Cboxed%7Bdiameter%20%5C%20of%20%5C%20%20sphere%20%3D%2018%20%5C%20cm%7D)
<span>a translation 2 units left and 2 units up</span>
Answer:
forst find the area of the whole rectangle and then the area of the unshaded triangles then add the area of the two triangle and subtract it with the area of the rectange
Step-by-step explanation: area of rectangle is length × breadth and area of triangle is 1/2 × base × height
Answer:
9
Step-by-step explanation:
Hey There!
If you didnt know the given angles in the triangle added together equal the missing triangles supplement aka z+50
So all we have to do is set up an equation
z+50=30+6x-45
step 1 combine like terms
30-45=-15
now we have
z+30=6x-15
step 2 add 15 to each side
-15+15 cancels out
30=15=45
now we have
z+45=6z
step 3 subtract z from each side
z-z cancels out
6z-z=5z
now we have
45=5z
step 4 divide each side by 5
5/5 cancels out
45/5=9
z=5
so we can conclude that z=9
hope this helps :)
