Answer:
(2, 1)
Step-by-step explanation:
You add 5 to the x coordinate, which is -3 and you get 2. Then add -7 to the y coordinate, which is 8 and get 1
First substitute y=5x+7 so that would turn into 5x+7=6x
Then, isolate/solve for x for 5x + 7 = 6x, in this problem x=7
Substitute x=7 into y=5x+7
y=42
x=7, y=42
(7,42)
Answer:
- x = 30°
- RS = 30°, SR = TU = 120°, UR = 90°
- ∠P = 45°
- ∠UTS = 60°
Step-by-step explanation:
(a) If RS = x, then the sum of arcs around the circle is ...
x + 4x +4x +3x = 360°
12x = 360°
x = 30°
__
(b) Based on the given ratios, the arc measures are computed from x. For example, ST = TU = 4x = 4(30°) = 120°
- RS = 30°
- ST = 120°
- TU = 120°
- UR = 90°
__
(c) Angle P is half the difference of arcs TU and RS:
∠P = (TU -RS)/2 = (120° -30°)/2
∠P = 45°
__
(d) Inscribed angle UTS is half the measure of the arc it intercepts. Arc RU has the measure (30° +90°) = 120°, so the measure of UTS is ...
∠UTS = 120°/2 = 60°
Answer:
Therefore,the level of paint is rising when the bucket starts to overflow at a rate cm per minute.
Step-by-step explanation:
Given that, at a rate 4 cm³ per minute,a cylinder bucket is being filled with paint
It means the change of volume of paint in the cylinder is 4 cm³ per minutes.
i.e cm³ per minutes.
The radius of the cylinder is 20 cm which is constant with respect to time.
But the level of paint is rising with respect to time.
Let the level of paint be h at a time t.
The volume of the paint at a time t is
Differentiating with respect to t
Now putting the value of
To find the rate of the level of paint is rising when the bucket starts to overflow i.e at the instant h= 70 cm.
Therefore, the level of paint is rising when the bucket starts to overflow at a rate cm per minute.
The graph of the function is line A