The solutions are: x = 6; x = -4.
Explanation: The given equation is:
x^2 -2x -24 = 0
x^2 -6x + 4x - 24 = 0
x(x-6) + 4(x-6) = 0
(x-6)(x+4) = 0
=> x = 6
=> x = -4
Hence the solutions are: x = 6; x = -4.
Answer:
x = -4
y = -21
Step-by-step explanation:
To solve this, we will need to set up a system of equations and get rid of a variable.
-3x - 2y = 54
-6x + 2y = -18
From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:
-3x - 2y = 54
-6x + 2y = -18
-------------------- +
-9x = 36
x = -4
Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.
-3(-4) -2y = 54
12 - 2y = 54
-2y = 42
y = -21.
Answer: Dilations can be used<em> in architecture in order to make a sample of their final design.</em> They must dilate the scale and measurements to match to their sample.
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Answer:
0.9
Step-by-step explanation:
To find the mean temperature, we have to add all of the numbers together and divide that by the amount of numbers there are.
6 + 5 + 3 + -4 + 3 + -3 + 2 + -1 + -2 + 0 = 9
There are 10 numbers.
Our mean, or average, would be 9 / 10 = 0.9
