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3 years ago

Find the product : 2p (4p² + 5p + 7)

Mathematics

1 answer:

Ber [7]3 years ago

6 0

<h3>Answer: 8p^3 + 10p^2 + 14p</h3>

Explanation:

The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside

2p times 4p^2 = 2*4*p*p^2 = 8p^3

2p times 5p = 2*5*p*p = 10p^2

2p times 7 = 2*7p = 14p

The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.

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Write the equation of the line passing through (0,-8),with slope of -1/2, in slope-intercept form _____?

Vadim26 [7]

The equation would be Y= 1/2x -8

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3 years ago

When Natalie finishes drawing the large triangle on the poster board, what will be the approximate measure of side BC? Round to

gtnhenbr [62]

Answer:

31 cm

Step-by-step explanation:

The complete question is attached.

A triangle is a polygon with three sides (three edges and three vertices). There are different types of triangles which are equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.

An equilateral triangle is a triangle in which all its sides are equal and all its angles are equal to 60°.

From the triangle, AB = BC = AC = 9.5 cm

Since the triangle is enlarged 3.25 times, hence:

new length of BC = 9.25 cm × 3.25 = 30.875

New length of BC = 31 cm to nearest cm

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3 years ago

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lukranit [14]

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3 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

7 0

3 years ago

A slice of pizza costs $1.57. How much will 27 slices cost?

elena-s [515]

It will be cost $ 42.39 for 27 slices of pizza

<h3>Further Explanation</h3>

A slice of pizza = $1.57

27 slices of pizza = the number of pizza x price/slice

= 27 x 1.57

We are going to use standard algorithm to solve this multiplication

1.57 ⇒ 2 decimal places

<u> 27</u> x ⇒ 0 decimal place

1099

<u> 314 </u>+

42.39 ⇒ 2 decimal places

In decimal number multiplication, the process is the same with the whole number multiplication. Only always remember when to put the decimal point in the answer.

<h3>Learn more</h3>

Total spend brainly.com/question/12203917

Decimal multiplication brainly.com/question/2308946

Decimal multiplication brainly.com/question/1254534

Keywords: multiplication, decimal multiplication, two digits number additional, additional, area, measurement

3 0

3 years ago

Read 2 more answers