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3 years ago

Work out the volume of a cuboid of edge 4cm by 4cm by 7cm

1 answer:

3 0

To work out the volume of a cuboid, you must multiply the Length by the Width and the Height
LWH
4cm x 4cm = 16cm²
16cm² x 7cm = 112cm³

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A town is going to use its property tax records to pick

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A rectangle has a perimeter of 144 inches. The width of the rectangle is 12 inches less than the length. What is the width, in i

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The width in inches would be 12, because of the formula:

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3 years ago

Read 2 more answers

Write the equation of a line with a slope of 5/2 and passes through the point (2,3)

tamaranim1 [39]

Answer:

y - 3 = ⁵/₂(x - 2) {the point-slope form of the equation}

y = ⁵/₂x - 2 {the slope-intercept form of the equation}

5x - 2y = 4 {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = ⁵/₂

(2, 3) ⇒ x₀ = 2, y₀ = 3

So, the point-slope form of the equation:

y - 3 = ⁵/₂(x - 2)

Therefore:

y - 3 = ⁵/₂x - 5 {add 3 to both sides}

y = ⁵/₂x - 2 ← the slope-intercept form of the equation

-⁵/₂x + y = - 2 {multiply both sides by (-2)}

5x - 2y = 4 ← the standard form of the equation

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3 years ago

PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest

Ratling [72]

Answer:

he rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Step-by-step explanation:

A quadratic equation is given by:

$ax^2+bx+c =0$

Here, a, b and c are termed as coefficients and x being the variable.

Axis of symmetry can be obtained using the formula

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

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

$f(x) = x^2 + 6x - 1$

⇒ a = 1, b = 6 and c = -1

$g(x) = -x^2 + 2$

⇒ a = -1, b = 0 and c = 2

$h(x) = 2^2 - 4x + 3$

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in $f(x) = x^2 + 6x - 1$ will be:

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

x = -6/2(1) = -3

and axis of symmetry in $g(x) = -x^2 + 2$ will be:

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

x = -(0)/2(-1) = 0

and axis of symmetry in $h(x) = 2^2 - 4x + 3$ will be:

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

x = -(-4)/2(2) = 1

So, the rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Keywords: axis of symmetry, functions

Learn more about axis of symmetry from brainly.com/question/11800108

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4 years ago