Answer: Ok, i cant drag the endpoints of the segment, but i can tell you how to do it.
First, we know that h(x) joins the points (1, -5) and (9, 1), then h(x) is a line:
h(x) = s*x + b
First, for a line that goes through the points (x1, y1) and (x2, y2), the slope will be:
s = (y2 -y1)/(x2 - x1)
Then in this case, the slope is:
s = (1 - (-5))/(9 - 1) = 0.75
Then we have
h(x) = 0.75*x + b
now, the value of b can be found as:
h(1) = -5 = 0.75*1 - b
b = - 5 - 0.75 = -5.75.
Then our equation is:
h(x) = 0.75*x - 5.75
Now, i gues you want to find the graph of:
y = h(-x)
Then our new function is:
g(x) = h(-x) = -0.75*x - 5.75.
Now to find the points, we evaluate this function in the same values of x as before.
g(1) = -0.75*1 - 5,75 = -6,5
the point is (1, -6.5)
the second point is when x = 9.
g(9) = -0.75*9 - 5.75 = -12.5
The second point is (9, -12.5)
The formula for reflecting preimages about the y-axis is (-x,y). This means that you would have to switch the x-coordinate's sign on each of the coordinates. So the coordinates would be W(-2,2), X(-4,3), Y(-5,2), and Z(-4,1). Now you have to translate the image. Translating it 3 units to the right would make you add 3 to each of the coordinates. The coordinates are now W(1,2), X(-1,3), Y(-2,2), and Z(-1,1). Now, I don't know if you meant that the y-coordinate is translated up or down 4 units, so I'll do both. For up, you would add 4 to each of the y-coordinates, and the new points would be W(1,6), X(-1,7), Y(-2,6), and Z(-1,5). For down, you would have to subtract 4 from each of the y-coordinates. The coordinates would be W(1,-2), X(-1,-1), Y(-2,-2), and Z(-4,-3). Those are your possible answers. I hope this helps.
We are given
ax = 6.91
ay = 1.45
bx = 2.45
by = 7.02
So,
tan a→ = 1.45/6.91 = 0.2098 = ma
tan b→ = 7.02/2.45 = 2.8653 = mb
To get the angle between the two
tan θ = (mb - ma)/(1 + ma mb)
tan θ = (2.8653 - 0.2098) / (1 + (2.8653) (0.2098) )
θ = 58.91°
The x component is
x = 8.28 cos 58.91 = 4.28 m
The y component is
y = 8.28 sin 58.91 = 7.09 m
Https://www.youtube.com/watch?v=WNr31DGrOqw she's explain how to do it without you getting lost because if I told you you'd be lost
Answer:
=110.8 percent
Step-by-step explanation:
We can use this formula to find the percent increase
percent increase = (new - original)/ original * 100
new = 363,844,490
original =172,602,624
Substitute these values in
percent increase = (363,844,490 - 172,602,624)/ 172,602,624 * 100
percent increase = 191241866/172602624 *100
= 1.107989332
=110.8 percent
