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Answer:

[tex]y=\frac{-1}{2} x+1[/tex]

Step-by-step explanation:

In this case , we'll have to carry out several steps to find the solution.

Step 01:

Data

x   y

-2  2

4   -1

Equation of the line =?

Step 02:

Equation of the line

Slope formula:

[tex]m=\frac{y2-y1}{x2-x1} =\frac{-1-(2)}{4-(-2)}=\frac{-3}{4+2} =\frac{-3}{6} =\frac{-1}{2}[/tex]

Point-slope form of the line

[tex](y-y1)=m(x-x1)[/tex]

[tex](y-2) =\frac{-1}{2}(x-(-2))\\y=\frac{-1}{2} x-\frac{2}{2}+2\\y=\frac{-1}{2}x-1 +2\\\\y=\frac{-1}{2} x+1[/tex]

The answer is:

The equation of the line is [tex]y=\frac{-1}{2} x+1[/tex]

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Answer:

no

Step-by-step explanation:

linear functions have straight lines

so this is not a linear function

Answer: She makes 63 ornaments in 14 hours

Step-by-step explanation:

4 = 18

14 = x

Cross multiplication

4x = 18 x 14

4x = 252

x = 63

Answer:

She can make 63 ornaments in 4 hours

Step-by-step explanation:

she makes 4.5 in a hour so just times that by 14

Step-by-step explanation:

[tex] \frac{1}{1} = 1:1[/tex]

[tex] \frac{2}{2} = 1:1[/tex]

[tex] \frac{3}{3} = 1:1[/tex]

[tex] \frac{4}{4} = 1:1[/tex]

[tex] \frac{5}{5} = 1:1[/tex]

[tex] \frac{6}{6} = 1:1[/tex]

[tex] \frac{7}{7} = 1:1[/tex]

[tex] \frac{8}{8} = 1:1[/tex]

[tex] \frac{9}{9} = 1:1[/tex]

[tex] \frac{10}{10} = 1:1[/tex]

[tex] \frac{11}{11 } = 1:1[/tex]

[tex] \frac{12}{12} = 1:1[/tex]

Answer:

fast

Step-by-step explanation:

Step-by-step explanation:

Interior angle + Exterior angle = 180°.

Size of Interior angle = 180° - 360°/n.

Question 32:

Exterior angle = 72°

Interior angle = 180° - 72° = 108°.

Therefore 180° - 360°/n = 108°, n = 5 => 5 sides.

Question 33:

Exterior angle = 36°

Interior angle = 180° - 36° = 144°.

Therefore 180° - 360°/n = 144°, n = 10 => 10 sides.

Answer: 32.) 108°. 5 sides

33.) 144°. 10 sides

Step-by-step explanation:

To find an interior angle subtract the given exterior angle from 180.

180 - 72 = 108

180 - 36 = 144

To find the number of sides of a regular polygon, divide 360 by the exterior angle.

360/72 = 5

360/36 = 10

Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

Answer:

V= 50.27

Step-by-step explanation:

V=(3.14)4^2(3/3)

50.27

The volume of the cone created by mike with diameter of 3 feet is 50.24 feet³

What information do we have?

Diameter of cone = 8 feet

Height of cone = 3 feet

Radius of cone = 8 / 2

Radius of cone = 4 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(4²)(3)

Volume of cone = (1/3)(3.14)(16)(3)

Volume of cone = 50.24 feet³

Find out more information about 'Cone'.

https://brainly.com/question/16394302?referrer=searchResults

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation [tex]y=3x+2[/tex]

We need to draw the graph of the equation.

Put x=0 in the above equation.

[tex]y=3(0)+2[/tex]

[tex]y=2[/tex]

The coordinate is (0,2).

Put y=0 in the given equation.

[tex]0=3x+2[/tex]

[tex]-2=3x[/tex]

[tex]x=\frac{-2}{3}[/tex]

The coordinate is ([tex]\frac{-2}{3}[/tex],0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

Answer:

I would need to know the number of radios she made each day.

Step-by-step explanation:

lets say she assembled 2 radios a day, which means we would do 0.54 x 2 (that would be 1.08) and then times it by 6 ***not incuding sunday***

you would get $6.48

then for sunday we would do 0.62 x 2 (that would be 1.24) .

now we add 6.48 and 1.24 to get $7.72 a week.

Answer:

Here are multiple :)

4/6

6/9

8/12

10/15

12/18

14/21

16/24

Hope this helped!

Answer:

2/3 | 4/6 | 8/12 | 16/24 | 6/9 | 10/15 | 14/21 | 16/24 | 18/27 | 20/30

Answer:

0.0008

Step-by-step explanation:

[tex]8 \times {10}^{ - 4} = 0.0008[/tex]

Answer:

117x.

This is because since the 9 is outside the parenthesis, it applies to everything inside. 9x * 4 =36x and 9x * 9 =81x

36x+81x=117x.

Answer:

117x

Step-by-step explanation:

Answer: There are 75 Adults in the supermarket ask me why if you want a full on explanation. The full on reason of why it is 75 is because if you have a ratio of 1:5 and you now the one is for the kids and it is 15. Then you add 15 from 1 until you get to the 5th ratio. Hence, it brings you all the way to 75 adults. I hope this helped you, and anyone else

Step-by-step explanation:

9514 1404 393

Answer:

  455

Step-by-step explanation:

The decrease was 30% of 650, or ...

  0.30 · 650 = 195

So, the population this year is ...

  650 -195 = 455

Answer:

455 Penguins

Step-by-step explanation:

1.) 650 x 0.30 = 195

2.) 650 - 195 = 455

Final answer: 455 Penguins

Hope this helped!

Answer:

6 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

you are adding 3 1/4 to 3 1/4 which is 6 2/4 or 6 1/2

or you can multiply 13/4 by 2 to get 26/4 or 13/2 which, again, is 6 1/2

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

Answer:

no at least i don't think u can because i usually use it in lets say 4x5=n

and the question would say solve for n.

Step-by-step explanation:

Answer:

$6,600

Step-by-step explanation:

231/0.035= 6,600

Answer:

x^2+8x+15 this is it simplified

[tex]\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}[/tex]

Given function to us is :-

[tex]\bf \implies g(x) = x^2 - 9 [/tex]

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

[tex]\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup [/tex]

I have also attached the graph of x²-9.

Answer:

12

Step-by-step explanation:

·[tex]\sqrt{8}[/tex]×[tex]\sqrt{18}[/tex]=[tex]\sqrt{144}[/tex]

[tex]\sqrt{144}[/tex]=12

Answer:

12

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

Given

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

Simplifying each radical

[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]

[tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]

Thus

[tex]\sqrt{8}[/tex] × [tex]\sqrt{18}[/tex]

= 2[tex]\sqrt{2}[/tex] × 3[tex]\sqrt{2}[/tex]

= 2 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]

= 6 × 2

= 12

Answer:

1) I know that the sum will be negative because a negative number added to another negative number will still be a negative number.

2) First, I simplified -35 + (-61) to -35 - 61, which just equals -96.

-54 + 17 equals 54-17 = 37.  

-96 < 37, so -35 + (-61) is less.

Step-by-step explanation:

The explanation is in the answer section, since your homework asked for me to explain.

Answer:

3,4,5

Step-by-step explanation:

Here, we want to select the set that could work and the sides of a right angled triangle

the correct answer is 3,4,5

These set are called a Pythagorean triple

This is because adding the square of the two smaller number will give the square of the largest number

What we are saying here is that by adding the square of 3 and 4, we get the square of 5 which illustrates that Pythagoras theorem works for the set

Answer:

C would be the correct answer. :D

Answer:

3/7 is the correct answer

Step-by-step explanation:

Answer:

my answer is that is 3/7 because look at the question and you will see what i mean.

Step-by-step explanation: