Answer:
<h3>
5</h3>
Step-by-step explanation:
z - any integer
2z+1 - any odd integer (the smaller one)
2z+1+2 = 2z+3 - odd integer consecutive to 2z+1 (the larger one)
2(2z+1) - twice the smaller number
2(2z+1) - 1 - one less than twice the smaller number
2(2z+1) - 1 = 2z + 3
4z + 2 - 1 = 2z + 3
2z = 2
z = 1
2z+3 = 2•1+3 = 5
check:
2z+1 = 2•1+1 = 3,
2(2z+1)-1 = 2(2•1+1)-1 = 2•3-1 = 5 = 2z+3
Answer:
2/3 yards or 2 feet
Step-by-step explanation:
The formula for the volume of a sphere is 
, meaning that you can set up the following equation:
Divide both sides by 
:
Take the cube root of both sides:
yards. Hope this helps!
X = B.......x - 17 = A
x + x - 17 = 87
2x - 17 = 87
2x = 87 + 17
2x = 104
x = 104/2
x = 52........so state B has 52 electoral votes
x - 17 = A
52 - 17 = A
35 = A.....so state A has 35 electoral votes
Correct question is;
Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)
Answer:
GCF = 5x² + 8x - 9
Step-by-step explanation:
The given polynomial is;
10x³ + 16x² - 18x
First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.
The greatest number is 2.
Secondly let's inspect the variables to see what we can factor out.
They all contain x. Thus, x is a factor.
Thus, we will divide each term by 2x to obtain the GCF of the polynomial.
GCF = (10x³/2x) + (16x²/2x) - (18x/2x)
GCF = 5x² + 8x - 9
I found the image that should have accompanied this problem.
Given:
equilateral triangle with sides that measures 7cm.
hexagonal shape meaning 6 sides or 6 equilateral triangles used.
Area of an equilateral triangle = √3/4 * a²
A = √3 /4 * (7cm)²
A = 1.73/4 * 49cm²
A = 21.20 cm²
21.20 cm² * 6 tiles = 127.20 cm² ARea of the hexagon.
