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ASHA 777 [7]
2 years ago
6

Select the graph that represents the equation x^2 + (y-4)^2=2.25

Mathematics
1 answer:
Daniel [21]2 years ago
6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a circle into center radius form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

(x)^{2}+(y-4)^{2}=2.25

therefore

the center is the point (0,4)

the radius is \sqrt{2.25}=1.5\ units

using a graphing tool

see the attached figure

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A rectangular piece of metal is 30 in longer than it is wide. Squares with sides 6 in long are cut from the four corners and the
Alexandra [31]

Answer:

length=53 in

width= 23 in

Step-by-step explanation:

First, we know that each corner has now a square of 6 in long, so the heigth of the box will be of this size (as you can see in the picture attached). Then, the length and the width of the box would be the same as the piece, but with 12 in less. Therefore the equations to solve the problem are:

h=6 in\\w=x-12\\l=x+30-12\\l=x+18\\\\V: volume of the box\\V=6*(x-12)*(x+18)\\2706=6x^{2}+36x-1296\\0=6x^{2}+36x-4002\\\\

We factorize the 6 and we get:

0=x^{2}+6x-667\\

Finally we solve for x, and we get the initial dimensions of the piece of metal:

x=23l=30+x=30+23=53 in\\w=x= 23 in

7 0
3 years ago
As with simple linear regression, we desire the residuals to (select all that apply) have large variance. have constant variance
dimulka [17.4K]

As with simple linear regression, we desire the residuals to:

  • Have constant variance.
  • Have a mean close to 0.

<h3>What is a simple linear regression?</h3>

It should be noted that a simple linear regression simply means a model that describes the relationship between a dependent variable and an independent variable.

In this case, as with simple linear regression, we desire the residuals to have constant variance and have a mean close to 0.

Learn more about regression on:

brainly.com/question/25987747

5 0
2 years ago
PLS HELP COME QUICK!!!!!!!
Andrews [41]
Minus 36 from each one you can do it on a calculator:)
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3 years ago
Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope fo
irinina [24]
  • (-6,1)
  • (-2,5)

Slope:-

\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1

Point-Slope form

\\ \sf\longmapsto y-y_1=m(x-x_1)

\\ \sf\longmapsto y-1=1(x+6)

\\ \sf\longmapsto y-1=x+6

\\ \sf\longmapsto x-y+7=0

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2 years ago
What is 4.510 in word form
Crazy boy [7]
<span>
four and fifty-one hundredths</span>
7 0
3 years ago
Read 2 more answers
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