Answer: B
Step-by-step explanation:
The correct answer is B
Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0
_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3
Answer:
11 mm
Step-by-step explanation:
An octagon has 8 sides. This mean that we do 88 divided by 8 to get the length of each side which is 11 mm.
Answer:
Option C.
Step-by-step explanation:
We need to find the correct definition of like terms.
Like terms :Two or more terms are called like terms if they have the same variables and same powers.
For example : 4xy and 9xy are like terms.
Option A is incorrect because 3x and 3 are not like terms.
Option B is incorrect because 6x and 9 are not like terms.
Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For example, 3x and 5x are like terms.
Option D is incorrect because 3x and 5 are not like terms.
Therefore, the correct option is C.
Answer:
32 miles
Step-by-step explanation:
Given data
Let the total distance be x miles
Marks speed= 16miles per hour
Trisha's speed= 12 miles per hour
Trisha has covered 8 miles and has (x-8) miles to finish line
We know that
Speed= distance/time
time= distance/speed
Hence the time taken for Mark to finish is
time= x/16---------------1
The time taken for Trisha to finish is
time= (x-8)/12-----------2
equate 1 and 2 above
x/16= (x-8)/12
cross multiply
16(x-8)= 12*x
16x-128= 12x
collect like terms
16x-12x= 128
4x=128
x= 128/4
x= 32 miles
Hence they will meet at exactly 32 miles along the way
