The value of b in the equation 5/2b+(-25/2) is 1.
Answer:
2.0625
Step-by-step explanation:
2+1/16
= 2.0625
= 206.25%
Answer:
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
Step-by-step explanation:
A line with slope m = -1/5 passes through the points (x, 7) and (11, 8). Find the value of x.
The slope of the line through these two points is found from the slope formula and is:
8 - 7
m = ----------- and the value of m is given as -1/5. Therefore,
11 - x
1
m = ----------- = -1/5
11 - x
Cross-multiplying, we get (1)(5) = -(11 - x), or 5 = -11 + x. Then x = 16
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
Answer:
no
Step-by-step explanation:
The second purchase is exactly half-again larger than the first purchase, so sheds no light on the relative costs of the items. The per-item costs can be found when the ratio of items purchased is different from one buy to another.
___
We can only say that the cost of 1 pear and 3 apples is $7.
The given equation of the ellipse is x^2
+ y^2 = 2 x + 2 y
At tangent line, the point is horizontal with the x-axis
therefore slope = dy / dx = 0
<span>So we have to take the 1st derivative of the equation
then equate dy / dx to zero.</span>
x^2 + y^2 = 2 x + 2 y
x^2 – 2 x = 2 y – y^2
(2x – 2) dx = (2 – 2y) dy
(2x – 2) / (2 – 2y) = 0
2x – 2 = 0
x = 1
To find for y, we go back to the original equation then substitute
the value of x.
x^2 + y^2 = 2 x + 2 y
1^2 + y^2 = 2 * 1 + 2 y
y^2 – 2y + 1 – 2 = 0
y^2 – 2y – 1 = 0
Finding the roots using the quadratic formula:
y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1
y = 1 ± 2.828
y = -1.828 , 3.828
<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828)
and (1, 3.828).</span>
