Thę grades on a math midterm at Springer are roughly symmetric with u = 72 and 0 = 4.5.

Find the arc length of the semi circle!! Please help me!! Click on the picture

Greeley [361]

This is easy bro,

So first, all you have to do is finding the half circumstance,

the formula for circumstance is:

C=π*d

since the diameter is 8, therefore,

C=π*8

C=8π,

using 3.14 for π,

8*3.14=

25.12

Hope this helps!!!!

6 0

3 years ago

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Write the equation of a line that is parallel to y=6x and that passes through the point (-7,1)

Anna35 [415]

Answer:

so y=6x+43

Step-by-step explanation:

Slope is 6, so using y=mx+b

1=6(-7)+b, b = 43

so y=6x+43

6 0

3 years ago

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:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

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

Take -2 as a common factor.

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

Now factor the expression $x ^ 2 -8x +15$

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:

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

The quadratic function cuts the x-axis at x = 3 and at x = 5.

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

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

Then the vertice is:

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

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.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

One yard is approximately 0.91 meter. Write a direct variation equation that relates x yards to y meters.

IgorC [24]

Y = kx is the direct variation equation with k being the "constant of variation"
The constant here being the conversion decimal .91
y = 0.91x

4 0

3 years ago

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The area of a rectangle is represented by the polynomial x^2+3x-6x-18. What are the length, width, and area of the rectangle if

Nitella [24]

Answer:

Length = 15

Width = 6

Area = 90

Step-by-step explanation:

Area of the rectangle = ${x}^{2} + 3x - 6x - 18$

Lets factorise the polynomial

$= > x(x + 3) - 6(x + 3)$

$= > (x + 3)(x - 6)$

We know that Area = Length × Width

Let the length be (x + 3) & width be (x - 6)

Its given in the question that x = 12. So putting the value of x gives ,

Length = $x + 3 = 12 + 3 = 15$

Width = $x - 6 = 12 - 6 = 6$

Area = Length × Width = 15 × 6 = 90

5 0

3 years ago