In triangle ABC,of angle A=angle B=45°,name the longest side.

What is the completely factored form of this polynomial? 4x^4+12x^2+9

gizmo_the_mogwai [7]

Answer:

(2x^2+3)^2

Step-by-step explanation:

See image below:)

3 0

3 years ago

Ali runs next to one wall in a gym. The gym is

DiKsa [7]

<h2><em>Answer:</em></h2><h2><em>=</em><em>12</em></h2><h2><em>12step</em><em> </em><em>by step explanation:</em></h2><h2><em>=</em><em>solution:</em></h2><h2><em>solution: area of gym= 144</em></h2><h2><em>solution: area of gym= 144we know that,</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L²</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L²</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L² or, (12)² = L²(12² means 12×12=144)</em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L² or, (12)² = L²(12² means 12×12=144) or, 12= L </em></h2><h2><em>solution: area of gym= 144we know that, area of square= L² or,144= L² or, (12)² = L²(12² means 12×12=144) or, 12= L therefore, L = 12 </em></h2>

7 0

3 years ago

The population of Weston is 4320. The town’s records show that 45 percent of the population are males, and 2 3 23 of these males

lbvjy [14]

Answer:

In Weston 1,296 males are married

Step-by-step explanation:

step 1

Find out the number of males

Multiply the total population by 45%

$45\%=45/100=0.45$

$4,320(0.45)=1,944\ males$

step 2

Find out the number of males that are married

Multiply the number of males by 2/3

$\frac{2}{3}(1,944)=1,296\ males\ married$

therefore

In Weston 1,296 males are married

7 0

3 years ago

Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

HURRYYY

IgorC [24]

Answer:

I believe the answer is 10 units.

3 0

3 years ago

In triangle ABC,of angle A=angle B=45°,name the longest side.​

In triangle ABC,of angle A=angle B=45°,name the longest side.