Answer:
Step-by-step explanation:
This is called a 'System of equations'.
Say that you have these two expressions, and the unknown is "b".
5b = y
4b+2 = y
Now we can solve two ways; graph it or solve it.
Solving it, we can see that they both equal y, so:
5b=4b+2
move 4b to the left side by subtraction:
(5b-4b) =2
b = 2
let's see what y equals when b = 2
5 * 2 = y
10 = y
Graphing it we see they intersect, or solve at
(2,10) or b=2, y=10
Hope this helps!
<em>CML is a supplementary angle</em>, it can't be a complementary angle because complentary angles are formed by two angles that equal 90 degrees, a
right angle. CMW is a right angle which is 90 degrees so that plus WML
has to equal more than 90, it must be a supplementary angle which is
formed by two angles that equal 180 degrees.
Answer:
Step-by-step explanation:
This is good! The length of the metal is 20 inches longer than the width. But we fold up 4-inch flaps on each side, so the height of the box is 4 inches, and the length and width will each decrease by 8 inches (4 inches on each side). Since the length and width decrease by the same amount, the length will still be 20 inches longer than the width. So the equations would be:
l = w + 20
vol = l x w x h = 1716 in3
1716 = (w + 20)(w)(4)
1716 = 4w2 + 80w
4w2 + 80w - 1716 = 0
4(w2 + 20w - 429) = 0
4(w + 33)(w - 13) = 0
w + 33 = 0, so w = -33
w - 13 = 0, so w = 13
Since the width can't be negative, the width of the box is 13 and the length is 33 (13 + 20).
But remember, the length and width of the piece of metal are each 8 inches longer than the box, so it was 41 inches by 21 inches.
Answer: π / 4
Step-by-step explanation:
Area of a circle = π x r^2
= π x 0.5^2
= π / 4
Answer:
1. 2 2/3 or -2 2/3
2 . 2 1/6
3. 9 3/4
Step-by-step explanation:
You just have to subtact the fractions and you will get your answer!