Answer:
[6 12 2]
[0 0 0]
[0 6 2]
Step-by-step explanation:
Remember you can do anything to an equation as long as you do it to both sides
8-(3+b)=b-9
remember the distributive property
a(b+c)=ab+ac
distribute that invisible -1
-(3+b)=-1(3+b)=-1(3)-1(b)=-3-b
8-3-b=b-9
add like terms
5-b=b-9
add b to both sides
5=2b-9
add 9 to both sides
14=2b
divide both sides by 2
7=b
b=7
Answer:
9 7/8
Step-by-step explanation:
solution by separating parts:
1) rewrite equation with parts separated
= 6 +1/4 + 3 + 5/8
2) solve whole number parts
6 + 3 = 9
3) solve fraction parts
1/4 + 5/8 = ?
- find the LCD of 1/4 and 5/8 and rewrite to solve
LCD = 8
2/8 + 5/8 = 7/8
combining the whole and fraction parts:
9 + 7/8 = 9 7/8
It displays a relationship between variable X and Y.
It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion<span> indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. </span>
Answer:
179.3 square units
Step-by-step explanation:
The area of the figure is the sum of the areas of the parts. That is, the area is the sum of the area of the rectangle, and the area of the semicircle.
__
<h3>Semicircle</h3>
The area of a circle with radius 5 is ...
A = πr²
A = π(5²) = 25π
The area of the semicircle is half that:
semicircle area = (25π)/2 = 12.5π ≈ 39.3 . . . . square units
<h3>Rectangle</h3>
The area of a rectangle with length L and width W is ...
A = LW
The width of this rectangle is the diameter of the circle, twice the radius, or 10 units.
A = (14)(10) = 140 . . . . square units
<h3>Total area</h3>
The sum of the areas of the parts is ...
total area = semicircle area + rectangle area
total area = 39.3 + 140 = 179.3 . . . . square units
