The correct answer is D. D'(1, 5), E'(-1, 3), F'(-1, -4), G'(1, -2).
It's because of this: You need to calculate the distances, and they are in this case symmetric, so you look how far is from one side, and it will be the same on the other side. When you put it on graph, the coordinates are clear and the correct answer is D.
Answer:
6.4
Step-by-step explanation:
formula: √(X2-X1)²+(Y2-Y1)²
hope it helps!
Answer:
One approach to this problem is to obtain the graph for the given equation.
We need to find every intersection those functions have with the axis 'x' and 'y'
starting with g(x)
g(x=0)=0-3, first point (0,-3) it iis the crossing point with 'x' axis
g(x)=0=x-3, second point (3,0) it iis the crossing point with 'y' axis
Lets do the same for f(x)
g(x=0)=0, this leads to the first point (0,0) it iis the crossing point with 'x' axis and also, with the 'y' axis
We dont need to find any other, since always y=x
By plotting we have the attached picture
Now you can see that g(x) differs from its parent function in that is shifted 3 units to the right, and also 3 units down.
Step-by-step explanation:
Answer:
56.3 kilometers per hour
Step-by-step explanation:
We know D = RT
where
D is distance
R is rate (speed)
T is time
Let's Bill's rate be "x". Thus using equation we can write:
D = xt
We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:
D = (21.1 + x)t
D = 21.1t + xt
Now, putting t = 1 in both since after 1 hour given, we have:
D = x(1)
D = x
and
D = 21.1(1) + x(1)
D = 21.1 + x
We know the sum of both the distance is 133.7, so we can write:
x + 21.1 + x = 133.7
Solving for x:
2x = 133.7 - 21.1
2x = 112.6
x = 112.6 / 2
x = 56.3 km/hr
This is Bill's rate: 56.3 kilometers per hour
Answer:
1. 180
2. x = 31
Step-by-step explanation:
1. the sum of the interior angles of every triangle is always 180
2. using what we know from problem 1, we can create an equation:
x + 10 + 2x - 5 + 2x + 20 = 180
add like terms: 5x + 25 = 180
subtract 25 from both sides: 5x = 155
divide both sides by 5: x = 31
