-30 = 6z
Plug in 6(-5) and you get -30
Answer is A
Answer:
The distance between two points; the solution is √200 units
Step-by-step explanation:
To determine the distance between two points, get the difference between the y-co-ordinates which is (6)-(-4)=10 units in this case. Consequently obtain the difference between the x-co-ordinates values which in this case is -3-7=-10 units. Thereafter we square these two values, sum them then obtain their square root. That is, square root of (100+100). √200 = 14.14
Answer:
Answer A: g(x) = (x + 4)² - 3(x + 4) - 2
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units left
f(x - n) - shift the graph n units right
f(x) = x² - 3x - 2.
shift 4 units left, f(x + 4) = (x + 4)² - 3(x + 4) - 2
Answer A: g(x) = (x + 4)² - 3(x + 4) - 2
Answer:x = 2
Step-by-step explanation:
Simplifying
3(x + -4) = 2(-2x + 1)
Reorder the terms:
3(-4 + x) = 2(-2x + 1)
(-4 * 3 + x * 3) = 2(-2x + 1)
(-12 + 3x) = 2(-2x + 1)
Reorder the terms:
-12 + 3x = 2(1 + -2x)
-12 + 3x = (1 * 2 + -2x * 2)
-12 + 3x = (2 + -4x)
Solving
-12 + 3x = 2 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-12 + 3x + 4x = 2 + -4x + 4x
Combine like terms: 3x + 4x = 7x
-12 + 7x = 2 + -4x + 4x
Combine like terms: -4x + 4x = 0
-12 + 7x = 2 + 0
-12 + 7x = 2
Add '12' to each side of the equation.
-12 + 12 + 7x = 2 + 12
Combine like terms: -12 + 12 = 0
0 + 7x = 2 + 12
7x = 2 + 12
Combine like terms: 2 + 12 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
Answer:
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Step-by-step explanation:
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