Answer:
Slope form of line y = 4x +41
Step-by-step explanation:
m= 4
The y-intercept of the line that passes through the given point (-9,5) is
5 = 4(-9) + b
b= 5 +36
b=41
The equation of the line that passes through the given point (-9,5) is
y =mx +b
y = 4x +41
Answer:
4 1/3
Step-by-step explanation:
2 + 1=3. 1/2+2/3 = 1 1/3. 3 + 1 1/3 = 4 1/3
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Answer: 0.000
Step-by-step explanation:
Answer:
Rate of change in height of the water level is 2.91 cm per second.
Step-by-step explanation:
Height of the inverted pyramid = 10 cm
Length of the square base = 7 cm
If water is filled up to the level of h cm then the volume of water up to height h will be
V =
V =
It is given that rate of water is filling with 70 cubic centimeters per second.
From two similar triangles in the figure attached,
By replacing the value of h,
V =
V =
V =
Now we integrate the equation with respect to time 't'
70 =
For h = 7 cm
Therefore, rate of change in height of the water level is 2.91 cm per second.
1.) Parallel lines has equal slopes. Line y = -4 has a slope of 0.
Required equation is y - y1 = 0
y - 5 = 0
y = 5
2.) Required equation is y - y1 = m(x - x1); where m is the slope and (x1, y1) = (-3, 4)
y - 4 = -2/3(x - (-3))
y - 4 = -2/3(x + 3)
y - 4 = -2/3 x - 2
y = -2/3 x - 2 + 4
y = -2/3 x + 2