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3 years ago

What is the value of 3 in 63.856

Mathematics

2 answers:

never [62]3 years ago

7 0

The value of 3 in 63.856 is the ones place.

bonufazy [111]3 years ago

6 0

Ones 1 this is all to it

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Two vertices of a polygon are ( 7, -18) and (7, 18). What is the length of this side of the polygon?

Scilla [17]

Because the two vertices have the same x-coordinate, the side is a vertical line. It starts vertically from -18 to 18

the length = 18 - (-18)
the length = 18 + 18
the length = 36

The length of the side is 36 unit

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3 years ago

Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function.

choli [55]

Answer:

A) x² + 7x - 9

Step-by-step explanation:

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3 years ago

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2 years ago

A church has 10 bells in its bell tower. Before each church service 7 bells are rung in sequence. No bell is rung more than once

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2 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

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3 years ago