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RUDIKE [14]
3 years ago
12

Find the distance between the points: The last one is 3

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0
It’s either B or D.. now you have 2 hopefully this helps
You might be interested in
Inverse of y=14x2 show derivations
Rudik [331]
<h2>Answer:</h2>

f^{-1}  (x)=\sqrt{\frac{x}{14}}.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

y=14x^2

<h3>2. Substitute y for x, and x for y.</h3>

x=14y^{2}

<h3>3. Solve for y.</h3>

14y^{2}=x\\ \\y^{2} =\frac{x}{14} \\ \\y=\sqrt{\frac{x}{14}}

<h3>4. Express your result.</h3>

f^{-1}  (x)=\sqrt{\frac{x}{14}}.

4 0
1 year ago
A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle? (1 point) (x - 1)2 + (y + 2)2 =
Nina [5.8K]

Answer:

(x + 1)^2 + (y - 2)^2 = 3^2 = 9

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

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

Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is

(x + 1)^2 + (y - 2)^2 = 3^2 = 9.

8 0
3 years ago
Suppose f and g are continuous functions such that g(6) = 6 and lim x → 6 [3f(x) + f(x)g(x)] = 45. Find f(6).
aleksandr82 [10.1K]
Since g(6)=6, and both functions are continuous, we have:

\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5


if a function is continuous at a point c, then lim_{x \to c} f(x)=f(c), 

that is, in a    c ∈  a continuous interval, f(c) and the limit of f as x approaches c are the same.


Thus, since lim_{x \to 6} f(x)=5, f(6) = 5


Answer: 5


7 0
3 years ago
(-1,5) (0,2) in slope intercept form
xeze [42]

Answer:

Step-by-step explanation:

(-1,5) (0,2)

y2= 2, y1 = 5, x2 = 0, x1 = -1

Slope m = [y2 - y1]/[x2 - x1]

m = {2 - 5}/{0+1}

m = -3/1

m = -3

And

y - y1 = m(x - x1)

y - 5 = -3(x + 1)

y - 5 = -3x - 3

y = -3x - 3 + 5

y = -3x + 2

7 0
3 years ago
Gary has a field on his property that he wants to sod. His field is 20 yards long and 40 yards wide.
Brilliant_brown [7]

Answer:

a) 800 square yards

b) 7200 square feet

Step-by-step explanation:

a) 40*20= 800 square yards

b) Each yard is 3 feet.

(40*3)*(20*3)=120*60=7200 square feet

5 0
2 years ago
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