Answer:
B' has a coordinate pair of (-4, -1)
Step-by-step explanation:
We are given with the vertices of the triangle with B(-8,-2)
Please remember the rule of dilation
If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)
Using this concept, we know scale factor is
, we could get image as ![(\frac{1}{2} (-8), \frac{1}{2} (-2))](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%20%28-8%29%2C%20%5Cfrac%7B1%7D%7B2%7D%20%28-2%29%29)
Let's simplify it
We do get (-4,-1)
Answer:
-3/10
Step-by-step explanation:
-3/4 * 2/5 = (-3 * 2) / (4 * 5) = - 6/20 = -3/10
Answer:
The first integer is
.
The second integer is
.
Step-by-step explanation:
The five-step method is GUESS method.
Given:
6 times the sum of 2 consecutive integers is 13 less than five times the larger integer.
Unknown:
Value of first and second integer.
Let the first integer be
.
Therefore, the second integer is equal to
which is also the larger integer.
Evaluate:
6 times the sum of first and second integers is 13 less than five times the larger integer. So,
![6(x+x+1)=5(x+1)-13\\6(2x+1)=5x-5+13\\12x+6=5x-8\\12x-5x=-8-6\\7x=-14\\x=-\frac{14}{7}=-2](https://tex.z-dn.net/?f=6%28x%2Bx%2B1%29%3D5%28x%2B1%29-13%5C%5C6%282x%2B1%29%3D5x-5%2B13%5C%5C12x%2B6%3D5x-8%5C%5C12x-5x%3D-8-6%5C%5C7x%3D-14%5C%5Cx%3D-%5Cfrac%7B14%7D%7B7%7D%3D-2)
Substitute and Solve:
Now, we have,
.
Substitute -2 for
and solve for first and second integers. This gives,
The first integer value = ![x=-2](https://tex.z-dn.net/?f=x%3D-2)
The second integer value = ![1+x=1+(-2)=1-2=-1](https://tex.z-dn.net/?f=1%2Bx%3D1%2B%28-2%29%3D1-2%3D-1)
Therefore, the first integer is
and the second integer is
.
Answer:
Step-by-step explanation:
This is of the form
![f(x)=a(x-h)^2+k](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-h%29%5E2%2Bk)
where h and k are the coordinates of the vertex, and the values that tell us the translation of the parent graph from its starting point (which is always the origin). The 2 out front, the a value, tells us that the graph of this parabola is a bit slimmer than the parent graph, but does nothing to its translation (or movement). It does, however, tell us which way the parabola opens. Because the parabola opens upwards, the 2 is positive. The h value tells us our side to side movement. The "(x - " part is very important because it doesn't change. If we have (x - 2), then it is understood to be (x - (2)) which is movement 2 units to the right (because positive numbers move right or up, while negative numbers move left or down). If we have (x + 2), then it is understood to be (x - (-2)) which is movement 2 units to the left. Because our parabola is shifted 2 units to the right, it reflects (x - 2) squared. It is shifted up 2 so the k value is a +2. The equation for this parabola could be B only.