(2x + 3) • (x + 3)
2x • x = 2x^2
2x • 3 = 6x
3 • x = 3x
3 • 3 = 9
6x and 3x combine to get 9x, which when all written out is equal to your original trinomial.
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
Add 2 to both sides
Divide both sides by 2
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
<h3>
Answer: 35°</h3>
Reason: The angle bisector cuts the original angle (70°) in half to get 70/2 = 35.
Answer:
50 tickets with a meal and 20 tickets without a meal
Step-by-step explanation:
Create two equations. Group the information based on labels. All the amounts that have $ in it go with one equation and the number of tickets will be in the second equation.
I will let x represent with a meal and y will represent without a meal
35x + 25y = 2250
x + y = 70
I will solve using substitution, so I will solve for y in the second equation. To do this, I will subtract x from both sides.
x - x + y = 70 - x
y = 70 - x
Now I will substitute in for y in the first equation and solve for x.
35x + 25(70 - x) = 2250
35x + 1750 - 25x = 2250
10x + 1750 = 2250
10x + 1750 - 1750 = 2250 - 1750
10x = 500
10x/10 = 500/10
x = 50
Now I will solve for y. I will use the original second equation and substitute 50 in for x.
x + y = 70
50 + y = 70
50 - 50 + y = 70 -50
y = 20
50 tickets with a meal and 20 tickets without a meal
