Simplifying
b2 + 12b + 35 = 0
Reorder the terms:
35 + 12b + b2 = 0
Solving
35 + 12b + b2 = 0
Solving for variable 'b'.
Factor a trinomial.
(7 + b)(5 + b) = 0
Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve:
Simplifying
7 + b = 0
Solving
7 + b = 0
Move all terms containing b to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7
Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7
Combine like terms: 0 + -7 = -7
b = -7
About 2 feet and 2 inches
Answer:
1 cm
Step-by-step explanation:
We know that the formula for perimeter is<u> 2(l+w) or l+l+w+w</u>
We know that the height is 5 cm so that means <em><u>w= 5</u></em> also that there is 5 cm on both sides of the rectangle. So 5+5=10 so that means that the length of the rectangle is <em><u>1 cm</u></em> if you add the length together you 2 when you add the width you get 10. <em>10+2=12.</em>
Answer and explanation:
Farmer's number of apples = 96 apples
Given that Farmer needs to bag the apples so that there are at least 4 apples in each bag(not less than 4 apples in each bag) and not more than 10 apples in each bag
And also all apples in each bag are equal
We need to find the numbers between 4 and 10(including 4 and 10) that can divide 96 without a remainder
4 can divide 96= 24
5 cannot divide 96 without remainder
6 can divide 96 =16
7 cannot divide 96 without remainder
8 can divide 96=12
9 cannot divide 96 without remainder
10 cannot divide 96 without remainder
From the above we see that the factors of 96 = 4, 6, 8 between 4 and 10
4 apples = 24 bags
6 apples = 16 bags
8 apples = 12 bags
Therefore, there can be 3 possible ways of having equal number of apples in each bag between 4 and 10 apples
Do Pythagorean Theorem because a rectangle divided in diagonals form right triangles
A^2+b^2=C^2
Plug in the correct numbers and solve
A and B can be switched around but C is always the longest diagonal side which is called the hypotenuse not the Adjacent sides that form a right angle
So with correct solving you should get 5.
