Answer:
The residual of the point in the equation is
Step-by-step explanation:
We have been given point where .
Now the equation is .
Plugging the value of in the equation of ,
we have to find the predicted value of y and .
So y predicted .
To find the residual point we have to subtract the actual value from the predicted value.
As actual value of along with the points .
Residual point = Actual value - Predicted value.
So the residual for the point is .
Answer:
C.) 7√2/2
Step-by-step explanation:
tan¤ = opp/adj
tan 45° = y/7√2/2
1 = y/7√2/2
1 = 2y/7√2
7√2 = 2y
2y = 7√2
y = 7√2/2
<u>NOTE:</u><u> </u>¤ = Theta
<u>Answer:</u>
D of Y = (-3/2, -1)
<u>Step-by-step explanation:</u>
We are given three points on the graph:
X (4, 0)
Y (3, 2)
Z (2, 2)
and the scale factor of dilation which is .
Given that, we are to find the coordinates of Y after dilation. To find that, we will multiply the coordinates of the point Y with the scale factor.
Y = × , (-\frac{1}{2}[/tex] ×
Y =
Capital letters that have rotational symmetry are: Z, S, H, N and O. The letters Z, S, H and N, when rotated 180 degrees clockwise or counterclockwise, will look the same after rotation completion.
Hope it helps you my dear :)
This is a mixture problem.
Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.
mass1 * karat1 + mass2*karat = total mass * total carat
Let mass1 be x g. mass 2 would be = (200 -x)
karat 1 = 9 karat 2 = 18
Total mass = 200g.
Total karat = 14.
9*x + 18*(200 -x) = 14*200
9x + 18*200 - 18*x = 14*200
18*200 + 9x - 18x = 14*200
3600 - 9x = 2800
3600 - 2800 = 9x
800 = 9x
9x = 800
x = 800/9
x ≈ 88.89
Therefore 88.89 grams of 9 karat gold must be mixed.