Answer:
2. All reals
Step-by-step explanation:
It covers everything as absolute value (distance from 0)
If you graph it you will see
(-1,-10)(0,-6)
slope = (-6 - (-10) / (0 - (-1) = 4/1 = 4
y = mx + b
slope(m) = 4
(0,-6)...x = 0 and y = -6
sub and find b, the y int
-6 = 4(0) + b
-6 = b
ur equation is : y = 4x - 6
Answer:
58.6 cm;
20.1 m
Step-by-step explanation:
✔️Length of arc = θ/360 × 2πr
Where,
θ = 240°
r = 14 cm
π = 3.14
Plug in the values:
Length of arc = 240/360 × 2 × 3.14 × 14
= 58.6133334 = 58.6 cm (nearest tenth)
✔️Length of arc = θ/360 × 2πr
Where,
θ = 105°
r = 11 m
π = 3.14
Plug in the values:
Length of arc = 105/360 × 2 × 3.14 × 11
= 20.1483334 = 20.1 m (nearest tenth)
Answer:
x-int of -1; y-int of -1; parabola that is reflected along the x-axis.
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream
Equation1 ---- x + y = 50 (the sum of all the ice creams they sell)
Equation 2 ---- 3x + 5y = 180 Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides. (I could have done subtracted x - it did not matter). Now we have x= ₋ y +50 (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50
3 (-y +50) + 5y = 180
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1 is x+y=50 we can replace y with 15
x + 15 = 50 Now subtract 15 from both sides x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5 = + <u>75
</u> $180
