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2 years ago

F(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7

Mathematics

1 answer:

djyliett [7]2 years ago

3 0

Answer:

${5x}^{2} + 6x = - 8$

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

${ - 12x}^{2} - 15x + 7 - ({ - 7)x}^{2} + 9x - 15$

Now we can solve for the equation.

${ - 5x}^{2} - 6x - 8 = 0 \\ {5x}^{2} + 6x = - 8$

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A neighborhood was given a vacant lot in the shape of a rectangle on which to build a park. The neighborhood is considering how

Montano1993 [528]

Answer:

The triangle and trapezoid area formulas have One-half in them.

In the trapezoid formula, the bases are added.

Step-by-step explanation:

Topic: Plane Shapes

Basically, the requirement of the question is to compare area of shapes. The shapes are

Trapezoid
Triangle
Parallelogram
Rectangle

The Area of a Trapezoid is $(\frac{a + b}{2} )h$ where a and b are the bases of the trapezoid and h is the height

The Area of a Triangle is $\frac{bh}{2}$ where b and h are the base and the height of the triangle respectively

The Area of a Parallelogram is $b * h$ where b and h are the bases and the height of the parallelogram

The Area of a Rectangle is $l * b$ where l and b are the length and the breadth of the triangle respectively

Checking option a through e

A. The triangle and trapezoid area formulas have One-half in them.

True; Area of a Triangle is $\frac{bh}{2}$ while Area of a Trapezoid is $(\frac{a + b}{2} )h$

B. The parallelogram and rectangle formulas are both the same.

False; Area of a Parallelogram is $b * h$ while Area of a Rectangle is $l * b$

C. In the parallelogram formula, the bases are added.

False; The basis are not added

Area of a Parallelogram is $b * h$

D. In the trapezoid formula, the bases are added.

True; Area of a Trapezoid is $(\frac{a + b}{2} )h$

E. In the triangle formula, the sides are added, then multiplied by One-half.

False; Area of a Triangle is $\frac{bh}{2}$

4 0

3 years ago

Read 2 more answers

I need help proving this ASAP

Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

$\tan(x + \frac{3\pi}{2} ) = - \cot \: x$

One way is to use the basic double angle formula:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) \cos( \frac{3\pi}{2} ) + \cos(x) \sin( \frac{3\pi}{2}) }{\cos(x) \cos( \frac{3\pi}{2} ) - \sin(x) \sin( \frac{3\pi}{2}) }$

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) ( 0) + \cos(x) ( - 1) }{\cos(x) (0) - \sin(x) ( - 1) }$

We simplify further to get:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ 0 - \cos(x) }{0 + \sin(x) }$

We simplify again to get;

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{- \cos(x) }{ \sin(x) }$

This finally gives:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = - \cot(x)$

6 0

3 years ago

The middle school students made a new game

nignag [31]

Step-by-step explanation:

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3 years ago

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs. What is t

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The answer is B: choosing five CDs where not all of them are pop

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3 years ago

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How can i get the ratio of the: corresponding sides , sides, volume, perimeter

Arturiano [62]

In mathematics, polygons are similar if their corresponding angles are congruent and the ratio of their corresponding sides are in proportion.

Once we know that triangles (or any polygons) are similar, we also know some additional facts about the figures.

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3 years ago