Answer: y= -4x/3 - 4/3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=3x4−32.
The slope of the perpendicular line is negative inverse: m=−43.
So, the equation of the perpendicular line is y=−4x3+a.
To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.
Thus, a=−43.
Therefore, the equation of the line is y=−4x3−43.
Answer:
2879.4 m
Step-by-step explanation:
The sine of an angle in a right triangle is the ratio of the side opposite to the hypotenuse. Here the interior angle at lower right is an "alternate interior angle" where the diagonal "transversal" crosses the parallel horizontal lines. Alternate interior angles are congruent, so the lower right interior angle is 10°. (Basically, the angle of elevation is equal to the angle of depression.)
Using the sine relation, we have ...
sin(10°) = (500 m)/x
Multiplying by x/sin(10°) gives us the solution ...
x = (500 m)/sin(10°)
x ≈ 2879.4 m
The foci of an ellipse are (c,0) & (-c,0)
Where c² = a² - b²
The major axis is 34 feet
So 2a = 34
Dividing by 2 on both sides
a = 17
Also minor axis is 16 feet
So 2b = 16
Dividing by 2 on both sides
b = 8
Now we know
c² = a² - b²
c² = 17² - 8² = 289 - 64 = 225
Taking square root on both sides
c = 15 feet
Now the two foci are (15,0) & (-15,0)
Distance between these points is 15 - (-15) = 15 + 15 = 30
The distance between the two foci is 30 feet.
Answer:
There is a outlier and a negative relationship.
Step-by-step explanation:
negative shows that it goes from top to bottom and left to right (unless some numbers are switched around.) with this we also notice that there is a dot that is away from the group (the outlier)
First, convert that into a y=mx+b form.
Move the x to the other side so y is the only thing on the left. Since you moved it to the other side of the equal sign, be sure to make that number negative (the opposite sign)
Now… you have 4y=-3x+28
Let’s get y by itself. Since you’re multiplying 4 and y, you divide everything by 4 to get your y.
That leaves you with y=-3/4x+7.
We are looking at slope, which is your m in the y=mx+b form.
That is -3/4. The answer is the last square.