Answer:
Last Graph (4th one)
Step-by-step explanation:
The equation given is
Since we want increase of 25%, the value of b would be 1.25, so we have:
The graph should be increasing so we can immediately eliminate 2nd and 3rd graphs since they are clearly decreasing. We now have to choose between 1st graph and 4th graph.
<u>1st graph:</u>
Let's take the point (-20,30)
<u>2nd graph:</u>
Let's take the point (-20,4.5)
hence, this makes sense. So the correct graph is 4th one.
Answer: x = 3
Step-by-step explanation:
-10x - 2y = -30
3x + 2y =9
use elimination method...
-2y and 2y = 0
-10x = - 30
3x = 9
add together...
-7x = -21
solve...
x= 3
Answer:
The interior angles of a regular hexagon are congruent
Step-by-step explanation:
we know that
A <u><em>regular polygon</em></u> is a polygon that all interior angles are equal in measure, and all sides have the same length.
The sum of the measure of the interior angles in a regular polygon is equal to
where
n is the number of sides
For n=6 (hexagon)
Divide by the number of sides
In this problem we have
solve for x
Verify the measure of the interior angle in a regular hexagon with the value of x
---> is ok
---> is ok
therefore
The interior angles of a regular hexagon are congruent
3 quarters of 2pi.r should not exceed 38. So r<38/(3/2pi) => r<8.06. That leaves answer A and B.
Ax-a>2
x-1<-1
ok, in the first one, we can undistribute the a
ax-a>2
a(x-1)>2
and we known that x-1<-1, so x-1 is negative
we can assign c for x-1 to do c<-1 then
a(c)>2
ac>2
so if c is negative, then therefor a must also be negve to produce greater than 2
hmm, we see 2 choices that work, B and D
hmm, if c=-1.5
then a has to be 0.75
that is a possible solution so therefor B is false
the answer is D