Answer:
y = -4x +2
Step-by-step explanation:
As x-values increase by 1, y-values decrease by 4. The slope of the line is ...
... m = (change in y)/(change in x) = -4/1 = -4
We can use the first (x, y) pair as a point to use in the point-slope form of the equation of a line. That form can be written, for slope m and point (h, k) ...
... y = m(x -h) +k
using m = -4 and (h, k) = (1, -2), we can fill in the numbers to get ...
... y = -4(x -1) -2
... y = -4x +4 -2 . . . . eliminate parentheses
... y = -4x +2 . . . . . . slope-intercept form
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<em>Alternate approach</em>
After you recognize that a change in x of 1 gives a change in y of -4, you can work backward one step to find the table value for y corresponding to x=0. That will be -2+4 = +2. Now, you know both the slope (-4) and the y-intercept (+2), so you can write the equation directly from this knowledge:
... y = -4x +2
Answer:
C.)
Step-by-step explanation:
4/20=8/x
Answer:
1. 15 degrees.
2. 90 degrees.
3. 66 degrees.
Step-by-step explanation:
M and 2 appear to be 90 degrees. This is because there are parallel sides on the left and right of the kite. So, 2 is 90 degrees.
E and 75 are corresponding (I don't remember the postulate or whatnot) so 90 degrees plus 75 degrees is 165 degrees. There are 180 degrees in a triangle, so 180 minus 165 is 15. 1 Has to be 15 degrees.
3 is 66 degrees since it is corresponding with the angle on the other side of T (I, once again, do not remember the postulate).
Given:
Dimensions of Kendra's yard are 24.6 feet by 14.8 feet.
To find:
The area of her yard.
Solution:
Let as consider,
Length of yard = 24.6 ft
Width of yard = 14.8 ft
We know that,
Area of a rectangle = Length × Width
Using the above formula, we get the area of her yard.
Area of her yard is 364.08 ft² and without including the units ft², we get 364.08.
Therefore, the area of her yard is 364.08.
Answer:
If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.
