Answer:
1) Look at the equation. When looking at the problem equation, identify the base (b), exponent (y), and exponential expression (x).
Example: 5 = log4(1024)
b = 4
y = 5
x = 1024
2) Move the exponential expression to one side of the equation. Set the value of your exponential expression, x, to one side of the equal sign.
Example: 1024 = ?
3) Apply the exponent to the base. The value of your base, b, needs to be multiplied by itself by the amount of times indicated by your exponent, y.
Example: 4 * 4 * 4 * 4 * 4 = ?
This could also be written as: 45
4) Rewrite your final answer. You should be able to rewrite the logarithm as an exponential expression now. Verify that your answer is correct by making sure that both sides of the equation are equal.
Example: 45 = 1024
Answer:
In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one point or does not exist if the lines are parallel.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
y = (x - 2)² = x² - 4x + 4 → (1)
x + y - 2 = 0 → (2)
substitute y = x² - 4x + 4 into (2)
x + x² - 4x + 4 - 2 = 0
x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
substitute these values into (2) and solve for y
x = 1 : 1 + y - 2 = 0 ⇒ y - 1 = 0 ⇒ y = 1 ⇒ (1, 1 )
x = 2 : 2 + y - 2 = 0 ⇒ y + 0 = 0 ⇒ y = 0 ⇒ (2, 0 )
the line intersects curve C at 2 points (1, 1 ) and (2, 0 )
Answer:
Step-by-step explanation:
<u>Equation of a line</u>
To define the equation of a line, we only need two points through which it passes. The graph shows two clear points to choose: (0,2) and (1,-1)
Set up the equation of the line by using the formula
Operating
Rearranging
Answer:
R8.70
Step-by-step explanation:
2 oranges = R1.45
1 orange = 1.45 ÷ 2 = 0.725
12 oranges = 0.725 x 12 = 8.70
