Answer:
4x + y = 13
Step-by-step explanation:
1. Change 4x + y -2=0 into slope intercept form to find the slope:
y = -4x +2 The slope is -4
2. Plug in x, y and m into y = mx + b
-3 = -4 (4) + b
-3 = -16 + b
13 + b
3. Plug m and b into equation y = mx + b
y = -4x + 13
4. Change equation into standard form:
4x - y = 13
Answer:
(x-5)
Step-by-step explanation:
Factors to be (x-5)^2 so each side is (x-5)
Answer:
(a) 5/7 chance
(b) 2/7 chance
(c) 5/7 chance
Step-by-step explanation:
Event X: There are 3 letters that come before "D". A, B, and C. There is a 3 out of 7 chance of picking one of those letters. (3/7)
Event Y: There are 4 letters in "C A G E". Those 4 letters are in the 7 first letters of the alphabet meaning that they are in our pile of tiles. There is a 4 out of 7 chance of picking one of those letters. (4/7)
(a) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>5/7 chance</u> of either Event X or Event Y happening since tiles "A" and "C" are included in both events.
(b) Since there is a 3/7 chance of Event X happening and a 4/7 chance of Event Y happening, there is a <u>2/7 chance</u> of both X and Y happening since there are only 2 tiles that are the same in both events, "A" and "C". (We are only allowed to pick one tile)
(c) The complement of Event Y is 1-4/7=<u>5/7 chance</u>.
Answer:
<h3>x = 22.54</h3>
Step-by-step explanation:
Tangent θ = Opposite / Adjacent
tan(29) = 20/x
Cross multiply.
x = 20 / (tan(29))
x = 22.544284
The figure is a rhombus J' K' L' M' in a coordinate plane, showing all its vertices.
The vertex J' is the point (0, -2).
And the statement indicates that the quadrilateral JKLM was transformed into the figure J'K'L'M' by the dilation (x,y) -> (x/2, y/2).
Then you have to find the preimag of J' which is J.
You know that x was multiplied by 1/2 to transform into 0, then x/2 = 0 => x =0
And y was mutilplied by 1/2 to transform into -2, then y/2 = -2 => y = -4.
And the pre-image is (0, -4)
Answer: (0, -4)