It is very simple, <span>|2x + 4| > 14, we have 2x+4>14 or -(2x+4) >14 (absolute value definition) so 2x> 14-4, x>10/2=5 or -2x>14+4, -x>18/2=9, implies x< - 9
the solution is x>5, or x< -9, so the answer is </span>number line with open circles on _9 and 5, shading going in the opposite directions.
Width= W
length=2w+11
diagonal=2w+13
use the Pythagorean Theorem
(2w+13)^2=w^2+(2w+11)^2
4w^2+52w+169=w^2+4w^2+44w+121
simplify
52w+169=w^2+44w+121
w^2+44w-52w-169+121=0
w^2-8w-48=0
factor
(w-12)(w+4)=0
w-12=0
w=12 inches (width)
l=2*12+11=35 inches (length)
Y = mx + c
Where
y is the y of (2, -8)
x is the x of (2, -8)
m is the gradient or slope
c is the y intercept (you don’t know what it is)
Put into equation and find c
Once find c rewrite the equation with only the m and c in numbers
Eg
y = 5x + 3 (this is an example not the answer)
Hope this is helpful if you don’t understand please comment
Answer:
It should be a=-4 and b=-29
i hope this is right, if not then I’m sorry
Step-by-step explanation:
Given:
The coordinates of point A are (7,4).
It is dilated from the origin by a scale factor r = 3.
To find:
The coordinates of A'.
Solution:
If a figure is dilated from the origin by a scale factor k, then
Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:
Using this rule, we get
Therefore, the coordinates of point A' are (21,12).
