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2 years ago

Step by step solution to the polynomial equation (×² - x + 5)(x - 3)

Mathematics

1 answer:

denis23 [38]2 years ago

7 0

Answer:

There is no equals sign in that expression so it is not actually an equation and has no solution.

If you are looking to expand the two polynomials, then you get:

(x² - x + 5)(x - 3)

= x(x² - x + 5) - 3(x² - x + 5)

= x³ - x² + 5x - 3x² + 3x - 15

= x³ - 4x² + 8x - 15

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ZA Round your answer to the nearest hundredth.

Ahat [919]

Answer:

A = 48.81°

Step-by-step explanation:

Angles in a Right Triangle

When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.

The tangent ratio is defined as:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

$\displaystyle \tan A=\frac{8}{7}$

Using the inverse tangent funcion:

$\displaystyle A=\arctan\frac{8}{7}$

Calculating:

A = 48.81°

5 0

2 years ago

Use quadrilateral ABCD to find the value of x. The figure is not drawn to scale. Use the following dimensions: m⦨ABC = 4x◦, m⦨BC

OLEGan [10]

Answer/Step-by-step explanation:

Question 1:

Interior angles of quadrilateral ABCD are given as: m<ABC = 4x, m<BCD = 3x, m<CDA = 2x, m<DAB = 3x.

Since sum of the interior angles = (n - 2)180, therefore:

$4x + 3x + 2x + 3x = (n - 2)180$

n = 4, i.e. number of sides/interior angles.

Equation for finding x would be:

$4x + 3x + 2x + 3x = (4 - 2)180$

$12x = (2)180$

$12x = 360$

$x = \frac{360}{12}$ (dividing each side by 12)

$x = 30$

Find the measures of the 4 interior angles by substituting the value of x = 30:

m<ABC = 4x

m<ABC = 4*30 = 120°

m<BCD = 3x

m<BCD = 3*30 = 90°

m<CDA = 2x

m<CDA = 2*30 = 60°

m<DAB = 3x

m<DAB = 3*30 = 90°

Question 2:

<CDA and <ADE are supplementary (angles on a straight line).

The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.

m<ADE = 180° - m<CDA

m<ADE = 180° - 60° = 120°

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3 years ago

Use the provided ruler suppose you re-create the drawing so I had a scale of 1 cm to 4 cm in length and width of the new scale d

Nezavi [6.7K]

Answer:

4 times the size

Step-by-step explanation:

your question may be incomplete

6 0

2 years ago

What is the equation of the axis of symmetry of a parabola if its x-intercepts are -3 and 7?

Ostrovityanka [42]

This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.

so what's the x-value halfway between -3 and 7? yeap, you guessed it, 2.

so the axis of symmetry for this vertical parabola will be at x = 2.

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2 years ago

if a commuter train averages 62 miles per hour between stops that are 18 miles apart , about how many minutes does it take the t

mestny [16]

It takes about 3 minutes because when you round 3.4 repeating it's closer to three minutes instead of four minutes

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3 years ago

Step by step solution to the polynomial equation (×² - x + 5)(x - 3)​

Step by step solution to the polynomial equation (×² - x + 5)(x - 3)