The sum of all angles in a triangle is equal to 180.
75 + 70 + 5 + 3x = 180
150 + 3x = 180
3x = 180 - 150
3x = 30
x = 10
Third angle:
5 + 3(10)
35
y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).
Answer:
Step-by-step explanation:
So you need 2 scoops for half a gallon
this means you need 4 scoops for one gallon
for a gallon and a half you will need 6 scoops
there for for 2 gallons you will need 8 scoops
She is correct
.5 | 2
1 | 4
1.5 | 6
2 | 8
Answer: He bought about 6 sodas.
Step-by-step explanation:
Given: Tota cost of tickets = $ 78
Cost of each soda = $4.25
Total cost of sodas and tickets = 102.50
Let x = Number of sodas purchased
Then
Hence, he bought about 6 sodas.
The answer for 6 is -6,1/6
