A spotlight can be adjusted to effectively light a circular area of up to 7
meters in diameter. What is the maximum number of square meters
that can be effectively lit by the spotlight?
(Draw a circle with a diameter of 7 meters, then solve.)

Answer:

2x + 3y = -6

Step-by-step explanation:

The equation of the new line will be identical to that of the given line except that the constant term will differ.

Start with the given 2x + 3y = 3 and replace x with 3 and y with -4.  We get:

2(3) + 3(-4) = C, and C = 6 - 12 = -6

The equation of the new line is therefore 2x + 3y = -6

9514 1404 393

Answer:

  reasonable range: 0 ≤ y ≤ 5.5

Step-by-step explanation:

Unless the balloons are being launched from a building or the edge of a cliff, we generally expect f(x) ≥ 0. This limits the "reasonable range" to ...

  0 ≤ y ≤ 5.5

Answer:

25.6 minutes

Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again

Answer: vertex:(3,5)

y intercept: (0,-4)

Step-by-step explanation:

Answer:

there is no work?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I think it's A I'm not sure

Answer:

The equation of the line in slope-intercept form is:

y = 3/5x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Taking two points

Taking two points (-5, 2) and (5, 8) to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]

[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{3}{5}[/tex]

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation

y = mx+b

y = 3/5x + 5

Therefore, the equation of the line in slope-intercept form is:

y = 3/5x + 5

Answer:

Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!

Step-by-step explanation:

~To find a function look at the x values, if the x values don't repeat then it is a function~

Answer:

A,C nd E

Step-by-step explanation:

The three statements are true about the correlation shown by this scatter plot are;

A. The correlation coefficient is approximately 0.96

C. The correlation coefficient is approximately 0.33.

E. The line of best fit cannot be used to make accurate predictions from the data

Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.

The correlation coefficient is the degree of association between two quantities in terms of linear relation.

The range of correlation coefficient is -1 to 1

The correlation is -1, then that means  as the one quantity increases, the other quantity decreases (linearly)

We can conclude that the correlation coefficient is approximately 0.96

The correlation coefficient is approximately 0.33.

The line of best fit can't be used to make accurate predictions from the data

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Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

Answer:

(0,-5)

Step-by-step explanation:

This is the y intercept I graphed it

Answer:

(0,-5)

Step-by-step explanation:

3y-5x=-15

Add 5x on both sides

3y=5x-15

Divide each side by 3

y=5/3x-5

y=mx+b

b is the y-intercept

b=-5

Therefore (0,-5) is the answer

Answer:

A=24m^2

Step-by-step explanation:

to find the area of this figure you can approach it multiple ways, the simplest way is to split it into two rectangles

respectively one 6m by 3m and another 3m by 2m

find the areas of each rectangle and add them both to get the total area of the figure

(6m*3m)+(3m*2m)=(18+6)m^2=24m^2

Step-by-step explanation:

Number of bushels after 5 days

= 120 - 5(16.75)

= 36.25 = 36 1/4 bushels.

Answer:

1/16m^2 -2*1/4m*2n+4n^2

If you want to write it in more simple picture :

1/16m^2 -mn +4n^2

Answer:

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Step-by-step explanation:

Given the polynomial

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

Expanding and simplifying

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

as 1/4 = 4/m, so

[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]

Apply perfect square formula:  [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]

simplifying

[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]

[tex]=\frac{m^2}{16}-mn+4n^2[/tex]

Therefore,

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

Answer:

10

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

answer: 32

Step-by-step explanation:

2+5*6

=32

Answer:

5

Step-by-step explanation:

Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]

[tex]3^{2} + 4^{2} = c^{2}[/tex]

9+16=25

[tex]\sqrt{25}[/tex]=5

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1.  We can make an equation out of this...

    3x+3=48

    x is the age of Geoff which is what we are trying to find out

    We have to add 3 to both sides of the equation

    3x+3=48

         -3   -3

     ________

    we end up with 3x=45

     we then have to divide 3 by both sides because its the opposite of                

     multipling

    3x=45

    _____

         3

    we get x=15

2.   We can write a problem statement  

      (2 x 9)-6=?

       multiply 2 and 9 FIRST

       18-6=?

       your answer is 12

      Your Welcome! Have a great rest of your day! :)

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

Answer:

y=-5x+3

Step-by-step explanation:

5x+y=3

sub 5x from each side

y=-5x+3

Typing this as an actual answer this time smh:

My house is still decorated for christmas

Answer:

im not black, im the opposite

Answer:

I am what's your question?

Step-by-step explanation:

Answer:

t=18.7

Step-by-step explanation:

After 19.2 year the account reach $45,600.

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%[tex])^x[/tex] = 45,600

(1 + 5.6%[tex])^x[/tex] = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

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