Answer:
(4x + 3) + (-2x + 4) = 2x + 7
Step-by-step explanation:
(4x + 3) + (-2x + 4) = you then collect like terms
(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis
= 2x + (3 + 4). step-by-step
= 2x + 7. then that is how you get =2x+7
The first one is the last answer because you subtract 18 and when you divide you change the inequality symbol
the second one is the last answer for the same reason
the 3rd one is x<-1.25
the 4th one is x<8/15
For this case we have the following expression:
5x3 + 40y6
Common factor 5:
5 (x3 + 8y6)
Factoring the expression within the parenthesis we have:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer:
The factored expression is given by:
5 ((x + 2y2) (x2 - 2xy2 + 4y4))
Answer:
115.48
Step-by-step explanation:
This shape can be split into two distinct shapes
Two halves of a semi circle, and a rectangle in between
Circle:
Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).
The area of a circle is A = π 
The radius, r, is half of the diameter, so 7 / 2 = 3.5m
A = π 
A = π * 
A = 38.38
Rectangle:
The area of a rectangle is A = h b
The height, h, is known at 7m
The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m
Removing the radius from the total length given
18 - 3.5 - 3.5 = 11m
The base is 11m
A = h b
A = 7 * 11 = 77
Total Area = Circle area + Rectangle area
Total Area = 38.38 + 77 = 115.48