Answer:
The correct option is A.
Step-by-step explanation:
The first line passing through the points (-6,2) and (-6,0).
The slope of a line is
The slope of first line is
The second line passing through the points (0,-4) and (-1,1). The slope of second line is
The third line passing through the points (0,-6) and (2,-6). The slope of third line is
The fourth line passing through the points (0,6) and (-3,-7). The slope of fourth line is
Since the slope of a vertical line is infinity, Therefore option A is correct.
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
Answer: 
Step-by-step explanation:
Given
The temperature of the liquid is 
placed in an oven with temperature of 
.
Initially difference in temperature of the two
According to the question
![\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}]](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7BdT%28t%29%7D%7Bdt%7D%3D77%5Ccdot%20%5CDelta%20T%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7BdT%28t%29%7D%7Bdt%7D%3D77%5Ctimes%20%28450-T%29%5Cquad%20%5B%5Ctext%7BT%3D75%7D%5E%7B%5Ccirc%7DF%5C%20%5Ctext%7Bat%20t%3D0%7D%5D)
Answer:
x < -1
Step-by-step explanation:
Since the parabola opens upward, it is positive and decreasing where the left branch is above the x-axis: all points to the left of x=-1.
all real values of x where x < -1
Answer:
50.24 or 50.272
Step-by-step explanation:
Square radius and then times by 3.14 or 3.142
4^2*3.14 = 50.24
4^2*3.142 = 50.272
