Answer: The scale factor of the dilation is 1/3.
In a dilation, we are multiplying all the points by a constant to get a set of new points. The shapes will be similar.
In this case, we are moving from Point P at (-6, 6) to Point P' at (-2, 3).
So how does the point change. Let's write and solve the following equations.
-6k = -2 or 6k = 2
k = 1/3 k = 1/3
In both cases, the point was multiplied by 1/3. This is true of all the points.
Answer:
-8
Step-by-step explanation:
Hope this helps!
The value of p if the pair of equations may have one root common is 1.
<h3>What are the
roots of the equation?</h3>
Let the equation be ax² + bx + c = 0.
Then the roots of the equation will be
The equations are given below.
2x² + px - 1 = 0 and 3x² - 2x - 5 = 0
The roots of the equation 3x² - 2x - 5 = 0 will be
3x² - 5x + 3x - 5 = 0
(3x - 5)(x + 1) = 0
x = -1, 5/3
At x = -1, the value of p will be
2(-1)² + p(-1) - 1 = 0
2 - p - 1 = 0
p = 1
The value of p if the pair of equations may have one root common is 1.
More about the roots of the equation link is given below.
brainly.com/question/12029673
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Answer:
Answer D (2206.5 ft^2) is closest to the calculated answer 2206.85 ft^2.
Step-by-step explanation:
We can break up this figure into a 30 ft by 50 ft rectangle and a circle of diameter 30 ft.
The area of the rectangular part is A1 = (30 ft)(50 ft) = 1500 ft^2.
The area of the circular part is A2 = π(15 ft)^2 = 706.9 ft^2
Thus, the total area is approx A1 + A2, or 2206.86 ft^2 (Answer D)
To do 4x> 12, you divide 4x by 4 to isolate variable then divide 12 by 4, because if you do something on one side you have to do on the other so... x= 3 ..hope that helped . Also 75% of 96 Its 72.. its just 75/100 = x/96 then use cross products to find out that
