Answer: (1.5, 0)
Step-by-step explanation:
Given : The shape of his satellite can be modeled by 
where x and y are modeled in inches.
Now,the given equation is a equation of parabola.
Here, coefficient of x is positive, hence the parabola opens rightwards.
On comparing this equation with standard equation 
, we get
In standard equation, coordinates of focus=(m,0)
Thus for given equation coordinates of focus=(1.5,0)
The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
<h3>What is the area of the circle?</h3>
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,
Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.
Put this value in the above formula to find the area of the circle as,
Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
Learn more about the area of the circle here;
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The function which can represent the height, y according to the horizontal distance, x is; Choice A; y = –3/4x + 36.
Which function can represent the height, y, according to the horizontal distance x, from the top of the stairs?
According to the task content; The railing will begin at a height of 36 inches and follow the slant of the stairs. On this note, it follows that the y-intercept of the function is 36.
Additionally, since the railings decreases 9 inches for every 12 horizontal inches, it follows that the slope, m = -9/12 = -3/4.
On this note, the required function is; A.y = –3/4x + 36
Read more on linear function;
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Answer:
672
Step-by-step explanation:
If there must be at least 4 people in each group, then the number of people in the group for tennis must be 4, 5, or 6.
There are
(10/k)=(10!)/(k!(10−k)!)
ways of choosing k people from a group of 10, and so there are
(10/4)+(10/5)+(10/6)=(10!)/(4!6!)+(10!)/(5!5!)+(10!)/(6!4!)
=2×(10×9×8×7)/(4×3×2×1)+(10×9×8×7×6)/(5×4×3×2×1)
=2×(10×3×1×7)/(1×1×1×1)+(1×3×2×7×6)/(1×1×1×1×1) =420+252=672
