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3 years ago

11

What is the constant of variation of y=3x

1 answer:

bearhunter [10]3 years ago

4 0

Y=kx so 3 would be the constant

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XZ is a common external tangent to circles W and Y. What is the distance between the two centers of the circles? Round to the ne

Svetlanka [38]

You can Draw a segment WY connecting the centers<span> of the </span>two circles<span>, and then draw a segment, WS, so that YS + SZ = YZ and WS ⊥ YZ).</span>

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3 years ago

Read 2 more answers

Solve A = p(1+rt) for t

Svetlanka [38]

A = p(1 + rt)
A/p = 1 + rt
rt = A/p - 1
t = (A/p - 1)/r

7 0

3 years ago

Please see the photo.

Andreas93 [3]

Answer:

CE and GD

Step-by-step explanation:

A secant of a circle is a line which passes through only 2 points of the circle. So it bisects the circle at exactly 2 points. BF is not a secant because even though the points are labelled there is no line passing through. The reason why GD is a secant is because there are the points G and F and a straight line runs through them so that's why it's a secant

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3 years ago

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em> $x =4$ </em>

Step-by-step explanation:

<u>First factorize the function</u>

$f (x) = -2x ^ 2 + 16x-30$

<em>Take -2 as a common factor.</em>

$-2(x ^ 2 -8x +15)$

<em>Now factor the expression $x ^ 2 -8x +15$ </em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

<u>Then the vertice is:</u>

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

$x = 4$

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0

3 years ago

What is the inverse of the function? f(x) = 2x - 10?

gulaghasi [49]

Answer:

Step-by-step explanation:

Let $f(x)=y$

y=2x-10

Switch x and y,

x=2y-10

x+10=2y

(x/2)+5=y

So $f^{-1}(x)=\frac{x}{2}+5$

3 0

2 years ago