A*5+b*2=145
a +b =50 | * -2
5a +2b=145
-2a -2b = -100
----------------------
5a-2a = 145-100
3a= 45
a=45:3
a=15 questions are worth 5 p
b=50-15=35 questions worth 2 p
Answer:
Step-by-step explanation:
y = f(n)
Because n is a function of y.
Hope this helps!
Answer:
(-∞, -1]∪{5}
Step-by-step explanation:
We know that:
f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.
So we can just look at the graph, we can see that in the interval:
(-∞, -1] (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)
the graph is below or intersecting the x-axis
and this also happens at x = 5 or just denoted as {5}
Then the correct notation is:
(-∞, -1]∪{5}
1st attachment
Part A,
I would assume the triangles are similar so
6y=4y+18
minus 4y both sides
2y=18
divide 2
y=9
Part B
sub for y
6(9)=54
the angle is 54
2nd attachment
4. I actually forgot proofs, let me think
dunno this one
I would say cory is wrong
3rd attachment
5. since 8≠9, it is not a bisector of any sort nor is it equidistant from T and R
answer is point A is not on a bisector
4th attachment
it is not perpendicular in any way
if we assume that TXA=RXA, then the first and last options are right
5th attachment
7.
those 2 triangles are equal because of Side-angle-side
they have to be equal 2x=3x-5
minus 2x both sides
0=x-5
add 5
5=x
x=5
8.
it would be isocelseese
because the 2 sides are equal
Answer:
B) 11√3 - 7√6
Step-by-step explanation:
√48 can be simplified to <em>4√3</em>, and √54 can be simplified to <em>3√6</em>.
The equation is now <em>7√3 - 4√6 + 4√3 - 3√6</em>.
This can be grouped into <em>(7√3 + 4√3) + (-4√6 -3√6)</em>.
We get 11√3 - 7√6.