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3 years ago

Perimeter of a mirror is 260. The length is x cm. Find the height of the mirror in terms of x

1 answer:

4 0

$\bf \textit{perimeter of a rectangle}\\\\ P=2(L+h)~~ \begin{cases} L=length\\ h=height\\[-0.5em] \hrulefill\\ P=260\\ L=x \end{cases}\implies 260=2(x+h) \\\\\\ \cfrac{260}{2}=x+h\implies 130=x+h\implies 130-x=h$

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What is the GCF of

natima [27]

$1.\\14b^2-35b^3\\GCF(14;35)=7\\GCF(b^2;b^3)=b^2\\14b^2-35b^3=7b^2(2-5b)\\\\2.\\18x^3y^2+42x^2y^3\\GCF(18;42)=6\\GCF(x^3y^2;x^2y^3)=x^2y^2\\18x^3y^2+42x^2y^3=6x^2y^2(3x+7y)$

$3.\\12x^2+16y^2\\GCF(12;16)=4\\GCF(x^2;y^2)=1\\12x^2+16y^2=4(3x^2+4y^2)\\\\4.\\3x^2-9xy+12y\\GCF(3;9;12)=3\\GCF(x^2;xy;y)=1\\3x^2-9xy+12y=3(x^2-3xy+4y)$

$5.\\45x^3-60xy^2\\GCF(45;60)=15\\GCF(x^3;xy^2)=x\\45x^3-60xy^2=15x(3x^2-4y^2)\\\\6.\\36x^2+18x^3-6x+12x^4\\GCF(36;18;6;12)=6\\GCF(x^2;x^3;x;x^4)=x\\36x^2+18x^3-6x+12x^4=6x(6x+3x^2-1+2x^3)$

$GCF:\\1)\ b^2;\ 2)\ 6x^2y^2;\ 3)\ 4;\ 4);\ 3;\ 5);\ 15x;\ 6)\ 6x$

6 0

2 years ago

Read 2 more answers

A piecewise function g(x) is represented by the graph. On a coordinate plane, a piecewise function has 3 lines. The first line h

fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

Find out the equation of each line of the piece wise

First line

The first line has an open circle at (negative 2, negative 2) and it continues horizontally to an open circle (negative 5, negative 2)

(-2,-2) to (-5,-2)

$g(x)=-2$

$-5 < x < -2$

Second line

The second line has a closed circle at (negative 2, 0) and then continues up to an open circle at (1, 1.5)

[-2,0] to (1,1.5)

Find the slope

$m=(1.5-0)/(1+2)=0.5$

Equation in point slope form

$y-y1=m(x-x1)$

we have

$m=0.5$

$point (-2,0)$

substitute

$y-0=0.5(x+2)$

Convert to slope intercept form

$y=0.5x+1$

$g(x)=0.5x+1$

$-2 \leq x < 1$

Third line

The third line has a closed circle at (1, 4) and continues down to open circle (5, negative 4). Which functions represent a piece of the function?

[1,4] to (5,-4)

The equation of the line is

$g(x)=-2x+6$ ---> Repeat all steps that in second line

$1 \leq x < 5$

therefore

The piece wise function is equal to

$g(x)=-2$ ----> $-5 < x < -2$

$g(x)=0.5x+1$ ----> $-2 \leq x < 1$

$g(x)=-2x+6$ ---> $1 \leq x < 5$

5 0

2 years ago

The area of a rectangle is 84 square meters. The length of the rectangle is 5 meters longer than the width. What is the length,

Fittoniya [83]

Answer:

7mX12m

Step-by-step explanation:

I found the factors of 84 and then figured out which one would equal 5 if subtracted from each other.

6 0

3 years ago

A bag contains 20 identical balls of which 12 are white and 8 are black in colour. 3 balls are drawn randomly without any replac

Kaylis [27]

The probability of picking 2 white balls and 1 black ball is 0.154

<h3>How to determine the probability?</h3>

The given parameters are:

Number of balls, n = 20
White = 12
Black = 8

When each ball is selected, the total number of ball decreases by 1 and the type of ball also decreases.

So, the probability is represented as:

P(2 white and 1 black) = White/n * White - 1/n - 1 * Black//n - 2

Substitute known values

P(2 white and 1 black) = 12/20 * 11/19 * 8//18

Evaluate

P(2 white and 1 black) = 0.154

Hence, the probability of picking 2 white balls and 1 black ball is 0.154

Read more about probability at:

brainly.com/question/251701

#SPJ1

7 0

1 year ago

A Bill in the U.S House of Representatives passed because at least 2/3 of the members present voted in favor of it. If the bill

otez555 [7]

Answer:

Members of the House of Representatives present for the vote were atleast 426 .

Step-by-step explanation:

As given

A Bill in the U.S House of Representatives passed because at least $\frac{2}{3}$ of the members present voted in favor of it.

If the bill received 284 votes .

Let us assume that the total members of the House of Representatives were present for the vote be x .

Than the equations becomes

$\frac{2}{3}\times Total\ number\ of\ Representatives\ present\ for\ vote \geq 284$

$\frac{2}{3}\times x \geq 284$

$2x \geq 284\times 3$

$2x \geq 852$

$x\geq \frac{852}{2}$

$x\geq 426$

Therefore members of the House of Representatives present for the vote were atleast 426 .

3 0

3 years ago