9514 1404 393
Answer:
a = 3, b = -8
Step-by-step explanation:
Solving the first equation for y, we get ...
2y +16 = 6x . . . . . given
y = 8 +3x . . . . . . . divide by 2
y = 3x -8 . . . . . . . subtract 8
In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:
y = ax +b
a = 3, b = -8
Answer:
32
Step-by-step explanation:
Totally there are 50 tosses.
Let the number of tosses which resulted head be x.
Therefore the number of tosses which resulted tail is 50−x.
We get x×1+(50−x)×(−1)=14
x−(50−x)=14
x−50+x=14
x=32
Answer:
1.5 x 10^0
Step-by-step explanation:
For this problem, you would use the Pythagorean Theorem (a^2 + b^2 = c^2)
A and B are the length and width of the triangle. The triangle is created by the diagonal line splitting the computer screen. C is the hypotenuse, which is the diagonal line, and will always be the longest side of the triangle.
When we plug in the numbers into the formula, we would get this:
13^2 + b^2 = 15^2
B is the unknown variable in which we are trying to find.
First, you square 13 and 15:
169 + b^2 = 225
Then, subtract 169 from both sides:
b^2 = 56
Finally, find the square root of both sides:
b = 7.483314774
Simplify to the nearest tenth, and the answer is 7.5<span />
D - tectonic plates
Subduction is a geological process that takes place at convergent boundaries of tectonic plates where one plate moves under another and is forced to sink due to high gravitational potential energy into the mantle. Regions where this process occurs are known as subduction zones
