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2 years ago

What are the x- and y-intercepts of the graph of y = x2 − 10x + 21?

2 answers:

5 0

To solve for the X intercepts make y equal to 0. Then factor the quadratic. It would become (X-7)(X-3)=0. Solve for x in each case and the X intercepts are (3,0) and (7,0). The y intercept can be determined by making the X variables in the above quadratic equal to 0. The y intercept is 21, or (0,21).

Natalka [10]2 years ago

3 0

Answer:

y intercepts: y = 21

x intercepts: x = 3 and x = 7

Step-by-step explanation:

The given graph is y = x² - 10x + 21

We have to find the x and y intercepts of the given graph.

Since we know for x- intercepts we equate y = 0 and for y-intercepts we put x = 0

Now for x-intercepts

x² - 10x + 21 = 0

x² - 7x - 3x + 21 = 0

x(x - 7) - 3(x - 7) = 0

(x - 3)(x - 7) = 0

x - 7 = 0

x = 7

Or x - 3 = 0

x = 3

Therefore, there are two x intercepts x = 3 and x = 7

Now for y-intercepts

y = 0 - 0 + 21

y = 21

Therefore, x intercepts are; x = 3 and x = 7 and y intercept is y = 21

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dusya [7]

Answer:

Radius = 5

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Step-by-step explanation:

Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10$

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$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)$

(19,-1)

Equation of the circle

$(x-h)^2(y-k)^2= r^2$

h,k is the center and r is the radius

h=19 and k=-1 , r=5

$(x-19)^2(y+1)^2= 25$

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2 years ago

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Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

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