Answer: y=3/2x
Step-by-step explanation:
First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.
An equation in slope intercept form is as follows:
y=mx+b
To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.
We can use the slope formula, 
, to find the slope, m.
= 
Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.
Answer:
Step-by-step explanation:
Figure 1
- 3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1
Figure 2
- 8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1
Figure 3
- 15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1
<u>The function is:</u>
1
Move everything to the left by subtracting 25 from both sides:
Both terms are squares: 
is the square of 
, while 25 is the square of 5. So, we can apply the factoring
To factor the expression as
A multiplication is zero if and only if one of the factors is zero, so we have
2
The discriminant of the quadratic expression 
is defined as
So, you have
3
Similarly, we have
7.5 i believe. not very good at math tho lol
Answer:
x = 2√2
Step-by-step explanation:
Since the triangle is isosceles, it means 2 of the angles are equal and 2 of the sides are also equal.
Now, since we see that it is also a right angled triangle, it means one angle is 90°.
Let the equal angles be a.
Thus;
a + a + 90 = 180 (since sum of angles in a triangle is 180)
2a + 90 = 180
2a = 180 - 90
2a = 90
a = 90/2
a = 45°
Now, using sine rule, we can find x. Thus;
x/sin 45 = 4/sin 90
sin 90 = 1
sin 45 = 1/√2
Thus;
x = (4 × 1/√2)/1
x = 4/√2
Let's rationalize the denominator to get;
x = (4/√2) × √2/√2
x = (4√2)/2
x = 2√2
