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3 years ago

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Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:

x +3

Step-by-step explanation:

You can solve this by factoring.

The numbers have to add to 10 and multiply to 21.

The first numbers that should come to mind are 7 and 3

(x+3)(x+7)

x+3 is the shorter side and there you go :)

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What is the product? startfraction 2 y over y minus 3 endfraction divided by startfraction 4 y minus 12 over 2 y 6 endfraction t

Genrish500 [490]

The product of the expression $\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\$ is $\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\$ .

<h3>What is the product?</h3>

In mathematics, the term 'product' refers to the answer to a multiplication problem.

The product of the given expression is determined in the following steps given below.

$\rm =\dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\=\dfrac{2y}{y-3}\times \dfrac{2y+6}{4y-12}\\\\= \dfrac{2y \times 2y + 2y \times 6}{y(4y-12)-3(4y-12)}\\\\=\dfrac{4y^2+12y}{4y^2-12y-12y+36}\\\\=\dfrac{4y^2+12y}{4y^2-24y+36}\\\\=\dfrac{4(y^2+3y)}{4(y^2-6y+9)}\\\\ =\dfrac{(y^2+3y)}{(y^2-6y+9)}\\$

Hence, the product of the expression $\rm \dfrac{\dfrac{2y}{y-3} }{\dfrac{4y-12}{2y+6}}\\\\\\$ is $\rm \dfrac{(y^2+3y)}{(y^2-6y+9)}\\$ .

To know more about the product click the link given below.

brainly.com/question/15029466

5 0

2 years ago

Help me please im in a rush

pshichka [43]

Answer: 390 m².

Step-by-step explanation:

$Surface \ area = 11*13+11*12+11*5+2*\frac{12*5}{2}=11*(13+12)+11*5+12*5=\\ =11*25+5*(11+12)=275+5*23=275+115=390\ (m^2).$

7 0

2 years ago

Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the pa

jek_recluse [69]

Answer:2x-y=5

Step-by-step explanation:

Given

$x=6+\ln t$

$y=t^{2}+6$

$\left ( a\right )$ without eliminating parameter

$\frac{\mathrm{d} x}{\mathrm{d} t}$ = $\frac{1}{t}$

$\frac{\mathrm{d} y}{\mathrm{d} t}$ =2t

$\frac{\mathrm{d} y}{\mathrm{d} x}=2t^2$

at $\left ( 6,7\right )$

6=6+ $\ln\left ( t\right )$

t=1

Equation of line is given by

2= $\frac{y-7}{x-6}$

2x-12=y-7

2x-y=5

$\left ( b\right )$ by eliminating parameter

$x-6=\ln \left ( t\right )$

$t=e^{x-6}$

$y=t^2 +6$

$y=e^{\left ( 2x-12\right )}+6$

differentiating we get

$\frac{\mathrm{d}y}{\mathrm{d} x}=2e^\left ( 2x-12\right )$

$at \left ( 6,7\right )$

$\frac{\mathrm{d}y}{\mathrm{d} x}=2$

$2\left ( x-6\right )=\left ( y-7\right )$

2x-y=5

4 0

3 years ago

Shawna says, “I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFract

Ivahew [28]

Answer:

all are correct

Shawna, Dexter, and Tilana

are all right

Step-by-step explanation:

can i have brainiest $pretty$ $please$

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be ne

zheka24 [161]

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

5 0

3 years ago