The answer: a° = 180° - 62° = 118° , b° = 62° , c° = (180° - 62°) ÷ 2 = 59°
Ok done. Thank to me :>
Answer: the integers are closed under addition, multiplication, and subtraction, but NOT division.
Step-by-step explanation:
Answer:
y= 0.74x
0.74 (1500) = 1,110 euros
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Since: 1 US dollar = 0.74 Euros
To convert x US dollars to Euros we have to multiply it by 0.74:
y= 0.74x
Where:
y = value in EUROS
x = value in US dollars
For 1500:
y = 0.74 (1500) = 1,110 euros
Feel free to ask for more if needed or if you did not understand something.
Answer:
f(0) = 12
Step-by-step explanation:
You want to substitute 0 for x
f(0) = 5(0) + 12
f(0) = 12
Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
![m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 12 - 8}{4 - 9} \\ m = \frac{ - 20}{ - 5} \\ m = 4](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B%20-%2012%20-%208%7D%7B4%20-%209%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B%20-%205%7D%20%20%5C%5C%20m%20%3D%204)
b) For the point-slope equation, I'll use (9,8)
Using the formula:
![y - y1 = m(x - x1) \\ y - 8 = 4(x - 9)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20m%28x%20-%20x1%29%20%5C%5C%20y%20-%208%20%3D%204%28x%20-%209%29)
c) For the slope-intercept form, we solve for y in the point-slope formula: