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Andreyy89
3 years ago
14

What is the slope of the line that passes through the points (8,8) and

Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0

Answer:

\frac{5}{6}

Step-by-step explanation:

Alchen [17]3 years ago
6 0

Answer:

-5/6

Step-by-step explanation:

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30 POINTS AVAILABLE
kherson [118]

Answer:

\large\boxed{(x-2)^2+(y-1)^2=34}

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

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

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

3 0
3 years ago
The graph of y = f(x) is shown. Choose all the true statements.
dexar [7]

Answer:

−2 is a member of the domain of f.

f(0) > 0

Step-by-step explanation:

Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.

Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.

Statement 3 is TRUE.

f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.

Therefore, f(0) > 0.

Statement 4 is INCORRECT.

f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.

8 0
3 years ago
How do you do this?? Show all work please
olchik [2.2K]

The answer is every long.

Step-by-step explanation:

as the figure shows

5 0
2 years ago
M^6=3/y and M^5=y^2/6 then which of the following expresses m in terms if y
Galina-37 [17]
If y what? I think you're missing part of the question...
6 0
3 years ago
Plz help me solve it step by step (find the the area)
dexar [7]

Answer:

Step-by-step explanation:

A=LxW

4 0
3 years ago
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