Answer:
<h2>The option B and D are the equations.</h2>
Step-by-step explanation:
Let, the total number of students are x.
The number of students having the ticket is 
.
It is given that the number is 20.
Hence, 
.
Option B is the equation.
Option D is also the same.
The difference is just, the variable is wriiten in the other side.
The last one shows the right transformation.
Answer:
In fact, the AB could be calculated in a quickest way, using Pythagorean theorem. In here, we try to use the property of trigonometry to work out AB.
Before applying trigonometry, in this right triangle we can calculate the remaining angle C:
C = 180 - 90 - A = 180 - 90 - 53.13 = 36.87 deg
We can use cosine formula, but here we use the sine formula for the sake of convenience. We have:
sine(angle measure) = ratio of opposite side over hypotenuse
In detail, sineC = AB/BC
Then, we have: AB = BC x sineC = 15 x sin(36.87 deg) = 9.000002 = ~9 ft
Hope this helps!
:)
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
Slope: -1 y- intercept: (0,8)
