Answer:
The length of the rectangle is 29 cm.
Step-by-step explanation:
38 - 9 = 29
Let us say that:
x = mass from Earl Grey Tea
y = mass from Orange Pekoe Tea
So that:
x + y = 600
and that:
6 x + 4 y = 4.5 * 600
6 (600 – y) + 4 y = 2700
3600 – 6y + 4y = 2700
-2y = -900
y = 450 pounds
x = 600 – 450 = 150 pounds
Answer:
<span> Earl Grey Tea = 150
pounds</span>
<span>Orange Pekoe Tea = 450 pounds</span>
Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
The slope will be the difference between the y-coordinates divided by the difference between the x-coordinates:
then the slope of the line is: