The <em><u>correct answer</u></em> is:
Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis
Explanation:
A translation using the rule (x, y) →(x + 2, y + 8) adds 2 to the x-coordinate and 8 to the y-coordinate. This takes our points and maps them the following way:
A(-5, -2)→(-3, 6)
B(-7, -3)→(-5, 5)
C(-6, -6)→(-4, 2)
D(-3, -5)→(-1, 3)
E(-3, -3)→(-1, 5)
The difference between each of these points and the image points is that the x-coordinates are negated. To do this, we would reflect the points through the y-axis.
Answer:4
Step-by-step explanation:
Ex (increase, such as taxes or price hike):
I want to increase $5 by 20%.
That means I would have to find the product of $5 and 120%.
$5*1.20=6
If you increase $5 by 20%, you will get $6.
Ex (decrease, such as a discount or a special deal):
I want to decrease $5 by 20%.
That means I would have to find the product of $5 and 80%.
$5*.80=4
If you decrease $5 by 20%, you will get 4.
Conic sections are defined using a directrix (<span>a fixed line used in describing a curve or surface) and a focus, and those are: parabola, ellipse, and hyperbola. </span>
If Car A's speed is x, then Car B's speed is x-22. Using the formula, we get that the distance is the same in both, so 4*(x-22)=D and 2.4*x=D due to that we plug 2.4 and 4 in for T and x-22 and x for R. Since they both equal D, we can write it as 2.4*x=4*(x-22). Using the distributive property, we get 4*(x-22)=4x-88=2.4*x. Subtracting 2.4*x from both sides as well as adding 88, we get 1.6*x=88. Dividing both sides by 1.6, we get 88/1.6=55= x=Car A's speed
Answer:
Step-by-step explanation:
The easiest way to solve this equation is to first find and highlight a common factor between two terms. In this case, x^2 can be factored to rewrite the equation as follows:
The (x+7) term can be crossed out on both sides and then for this equation to be true, there are two possibilities:
Either
or
Therefore, the solutions to this equation are -1, 1 or -7.
