3y+4y+6=20
(3y+4y)+(6)=20
(Combine Like Terms)
7y+6=20
7y+6=20
Subtract 6 from both sides.
7y + 6 − 6 = 20 − 6
7y = 14
Divide both sides by 7.
7y/7 = 14/7
y = 2
<span>Simplifying
4x + 5y = 11
Solving
4x + 5y = 11
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5y' to each side of the equation.
4x + 5y + -5y = 11 + -5y
Combine like terms: 5y + -5y = 0
4x + 0 = 11 + -5y
4x = 11 + -5y
Divide each side by '4'.
x = 2.75 + -1.25y
Simplifying
x = 2.75 + -1.25y</span>
The answer is: True.
The numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.
To substract f<span>ractions, they must have a common denominator. There is two cases:
1. When the fractions have the same denominator, you just have to rewrite the denominator and substract the numerators. For example:
8/3-1/3=(8-1)/3=7/3
2. When the fractions have different denominators, you must calculate the Least commom multiple (LCM):
5/2-3/4
L.C.M.=2</span>²=4
(10-3)/4=7/4
Answer:
Length AB = 1
Length CD = 3
Length EF = 2
Step-by-step explanation:
To get the length of each line segments we will use the formula for finding the distance between two points as shown:
D = √(x2-x1)²+(y2-y1)²
For line segment A = (3,5) and B = (3,6)
x1 = 3, y1 = 5, x2 = 3, y2 = 6
AB = √(3-3)²+(6-5)²
AB = √0+1²
AB = √1
AB = 1
For line segment C = (-2,-3) and D = (-2,-6)
CD =√(-2-(-2))²+(-6-(-3))²
CD = √0²+(-3)²
CD = √9
CD = 3
For line segment E = (-3,1) and F = (-3,-1)
EF = √(-3-(-3))²+(-1-1)²
EF = √0²+(-2)²
EF = √4
EF = 2
Answer:
C 20 cubic centimeters
Step-by-step explanation:
Volume= l×b×h = 5×2×2=20cm³
