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3 years ago

15

A rectangular garden has a perimeter of 174 feet. The length is 9 feet more than twice the width. Find the length and the width.

1 answer:

serg [7]3 years ago

7 0

Rectangle : 4 sides

In pairs are the same size.

174 ÷ 2= 87

87-9= 78

78 ÷ 2= 39

174-78= 96

96 ÷ 2= 48

Answer :

39 and 48

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What is a polynomial function

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Polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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On a number line, which fraction is to the right of 3 5 ? A) 1 8 B) 3 12 C) 6 10 D) 3 4

Nikitich [7]

Answer:

c

Step-by-step explanation:

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4 years ago

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Y=-x^2+2x+10<br> y=x+2<br><br> Substitution <br> Please show your work<br> Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

so

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

<em>Find the values of y</em>

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

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3 years ago

Which expression is equivalent to (sin x + 1)(sin x − 1)? A. cos2x B. -cos2x C. cos2x + 1 D. cos2x − 1 E. -cos2x + 1

Semenov [28]

ANSWER

B.

$- \cos^{2} x$

EXPLANATION

The given expression is

(sin x + 1)(sin x − 1)

Note that:

$(x + 1)(x - 1) = {x}^{2} - 1$

This implies that,

$( \sin \: x + 1)( \sin \: x - 1) = \sin^{2} x - 1$

We can factor -1 on the right hand side to get,

$( \sin \: x + 1)( \sin \: x - 1) = - (1 - \sin^{2} x )$

Note that from the Pythagorean Identity

$1 - \sin^{2} x = \cos^{2} x$

We apply this identity to obtain:

$( \sin \: x + 1)( \sin \: x - 1) = - \cos^{2} x$

The correct choice is B

4 0

4 years ago

Marysya12 [62]

Answer:

why dont youbsearch yourself and get your answer yourself

Step-by-step explanation:

why dobt you seach to us elf and get to ur answer yourself

4 0

4 years ago