Answer:
Step-by-step explanation:
Define ...
z = 3x+2
Substitute for that expression in the given quadratic:
z^2 +7z -8 = 0 . . . . . . your equivalent quadratic
_____
This equation is easily solved by factoring:
(z +8)(z -1) = 0
z = -8 or +1
Then x can be found from z:
(z -2)/3 = x
(-8 -2)/3 = x = -10/3
(+1 -2)/3 = x = -1/3
<span>A linear pair is a pair of adjacent angles formed when two lines intersect.
Linear pair angles add up to 180 degrees because they lie on a straight line.
Let x = smaller angle
Let 5x - 18 = bigger angle
x + 5x -18 = 180
6x = 198
x = 198/6
x = 33
The smaller angle is 33 degrees and the bigger is 147 degrees</span>
Ms Smith has 28 sixth graders and 35 seventh graders
she wants to break them down into groups with each group having the same number of students from each grade
for this we have to find the highest common factor of 28 and 35 to see by which both 28 and 35 are divisible by
factors of 28 and 35 are as follows
28 - 1,2,4,7,14,28
35 - 1,5,7,35
the highest common factor both numbers is 7
therefore Ms Smith can break them down into 7 groups
each group will have
28 / 7 = 4 sixth graders
35 / 7 = 5 seventh graders
so each group will have 4 sixth graders and 5 seventh graders
so in each group there will be 4 + 5 = 9 students
she will break them down into 7 groups
each group has 9 students
Answer:
first one is 3 only second one is 2 only
Step-by-step explanation: