Answer:
(x, y ) → (x - 6, y - 2 )
Step-by-step explanation:
Given
P(- 10, 1 ) → P'(- 16, - 1 )
Note that the x- coordinate of the image is 6 less than the original and
The y- coordinate of the image is 2 less than the original, thus
(x, y ) → (x - 6, y - 2 )
9514 1404 393
Answer:
123.6 m²
Step-by-step explanation:
The area is given by the formula ...
A = (AB)(AD)sin(∠A)
A = (7 m)(20 m)sin(62°) ≈ 123.6 m²
Answer:
2/1 or 2overrun
Step-by-step explanation:
You can see that the rais/run for C to D is 2/1. So that would be the slope.
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Quotient is the result of division
120 divided by 10 = 12
therefore your quotient would be 12
