Answer:
D. x-intercept is -5 and the y-intercept is -2
Hey there! :)
Answer:
170 cm².
Step-by-step explanation:
This is an example of a composite figure, so find the areas of each shape separately:
Begin by finding the area of the smaller square. A = s²
A = 7² = 49 cm².
Find the area of the larger square:
A = 11² = 121 cm².
Add up the two areas:
49 + 121 = 170 cm².
Answer:
The length of side x is 
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle, with sides a and b, and hypothenuse h, we have that:
In this question:
The vertical line on the sides means that both are equal, that is, measuring x, so 
.
Hypothenuse is the square root of 12. So 
The length of side x is
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
