Determine whether each relation is a function. Explain. {(2,0), (2, 2), (2, 4), (2, 6)}​

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad C(\stackrel{x_2}{-4}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[-4 - (-6)]^2 + [4 - 7]^2}\implies BC=\sqrt{(-4+6)^2+(-3)^2} \\\\\\ BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points}[/tex]

[tex]F(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ FG=\sqrt{[1 - (-2)]^2 + [-2 - (-4)]^2}\implies FG=\sqrt{(1+2)^2+(-2+4)^2} \\\\\\ FG=\sqrt{9+4}\implies \boxed{FG=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ J(\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad K(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}[/tex]

[tex]JK=\sqrt{[5 - 4]^2 + [-2 - 2]^2}\implies JK=\sqrt{1^2+(-4)^2}\implies \boxed{JK=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \overline{BC}\cong \overline{FG}~\hfill[/tex]

The solutions to the system of the equations graphed below are where the graphs intersect:

In this case, the two graphs intersect at (0,6) and (-3, -3)

So the solutions are (0,6) and (-3,-3)

Hope that helps!

The solution to the system of the equations below is: (0,6) and (-3,-3)

The solutions are where the two graphs of the equations intersect

Step-by-step explanation:

3 blue

4 red

2 yellow

in total 9 marbles.

when looking at the 3 blue marbles that leaves 9-3 = 6 others (red and yellow).

so, the ratio is

3:6 = 1:2

remember, a ratio is a fraction and follows the same rules of calculation, simplification, ...

Hey there!

P = I - E

P = I - E {Add values}

P = 72 - 125

= -53

Negative profit means loss, which means there was no gain

Hopes this helps

Answer: There wasn't chemistry in them?

XD I dunno ._.       >w<

Answer:

Car 1: 72 mph

Car 2: 92 mph

Step-by-step explanation:

Car 1: 72 mph

288/4 = 72

72mph

Car 2: 92 mph

276/3

92 mph

Have an amazing day!!

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Answer:

Step-by-step explanation:

The question contains typos as I believe the boxes should be 5x4.2x3.2 in dimensions instead.

Assuming that and all 6 faces of each storage boxes will be painted, the surface area of each box is:

= (5*4.2*2) + (4.2*3.2*2) + (3.2*5*2)

= 100.88 square feet

4 boxes will have a total surface area of

100.88*4

= 403.52 square feet

Each pint of paint covers 50 square feet so a total of

403.52/50 = 8.07 or

9 pints is needed.

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

3x+y=8 and 6x+2y=10

x=8-y/3

Solve.

Rewrite the problem down.

6*8-y/3+2y=10

Then, solve.

16=10

Therefore, the final answer is no solution.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

943 exponent 14

Step-by-step explanation:

The question deals with indices(exponents). Therefore,all laws of indices related to the question must be applied to clearly solve and understand the question.

so,(943 exponent 78 · 943 exponent 1)/943 exponent 65

· means multiplication so simply,(943 exponent 78 × 943 exponent 1)/943 exponent 65

The laws of indices clearly state that, when two indices of the same base are multiplying, you add their exponents and when dividing,you subtract their exponents.

As all the indices have the same base which is "943", we can quickly add & subtract the exponents.

(Leaving base out of calculation now to make it easier to directly deal with exponents)

(78+1)-65(From the rules)

79-65=14,which means 943 exponent 14

∴The answer is 943 exponent 14

Answer:

10d or less

Step-by-step explanation:

Joanne would want $50 left, and she has $250. 20 - 50 is 200. 20 goes into 100 5 times.

20 goes into 200 10 times. You just add five. (20, 40, 60, 80, 100)

If she wants at least $50 left, she would have to limit how many Dvd's she buys to 10 or less.

The total amount accrued, principal plus interest, from simple interest on a principal of $25,000.00 at a rate of 15% per year for 6 years is $47,500.00.

Answer:

I =  $22,500.00

A = $47,500.00

Given Data

Principal = $25000

Rate = 15%

Time = 6 years

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 25000(1 + (0.15 × 6)) = 47500

A = $47,500.00

I = A - P = $22,500.00

Learn more about simple interest here:

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Answer:

8th Person = 172 cm tall

Step-by-step explanation:

( a + b + c + d + e + f + g )/7 = 156

a + b + c + d + e + f + g = 1092 total size

----------------------------------------------------------

now they measured 8 people (a + b... g) + h, but we know the total size of the other 7 = 1092

a + b + c + d + e + f + g + h

( 1092 + h )/8 = 158

1092 + h = 158*8

h =  1264 - 1092

h = 172

-----------------------------------

the 8th person is 172 cm tall

Answer:

Quadrant III.

Step-by-step explanation:

u said the answer :3

The quadrant that θ lies given that sinθ < 0 and cosθ > 0 will be Quadrant IV

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

we need to first know the signs of the trigonometric functions in each of the 4 quadrants going in an anti-clockwise direction.

In the first quadrant, the cot, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sine is positive.

In the third quadrant going anti-clockwise, only tangent is positive.

In the fourth quadrant going anti-clockwise, only cosine is positive.

We are told that the

sinθ < 0 and cos θ > 0.

This means that sine is negative and cosine is positive.

Looking at the rule, it is clear that the angle is in the fourth quadrant.

Read more about quadrant signs of trigonometric functions at;

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Answer:

i can't see the multiple choice

Step-by-step explanation:

angle c and b are equal

angle a and d are equal

and you have a common angle o

and ab = cd

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

It is given that AB || CD. The side AB is congruent to the side CD.

The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.

And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

If you want to multiply then,

3/5 × 1/2 = 3/10 or 0.3

If you want to Add then,

3/5 + 1/2 = 6 + 5/5 × 2 = 11/10 or 1.1

If you want to subtract then,

3/5 – 1/2 = 6 – 5/5 × 2 = 1/10 or 0.1

If you want to Divide then,

3/5 ÷ 1/2 = 3/5 × 2/1 = 6/5

Answer:

Or you could also find the area of 2 triangles and one rectangle.

Area of a triangle = bh/2

1st triangle = 6 x 2 = 12

12 ÷2 = 6

2nd triangle = 6x2= 12 ÷ 2 = 6

Area of a rectangle

A=bh

b = 4

h= 6

6x4=24

Now add all the areas to find out the area of the shape, so

6+6+24 =

[tex]36 {ft}^{2} [/tex]

Answer:

[tex]f(x) = 2000 * 1.05^x[/tex]

Step-by-step explanation:

The key to this question is interpreting the graph and then modelling it into an exponential function.

You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)

Now refer to the standard form of an exponential function.

[tex]y = a * b^x[/tex]

Since you know that when x = 0, y = 2000, a must be 2000. Because [tex]b^0 = 1[/tex], 2000 * 1 = 2000

So you got your a value. Sub it into the equation and now you got.

[tex]y = 2000 * b^x[/tex]

You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.

[tex]2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b[/tex]

Now you have your a and b values. Now you can express using a function:

[tex]f(x) = 2000 * 1.05^x[/tex]

Answer:X = 13

Step-by-step explanation:

An exterior angle is equal to the sum of the two opposite interior angle

⇒95=4x+3 + 3x+ 1

95=4x + 3x + 3 + 1

95=7x + 4

95-4=7x

91=7x

91/7=x

13=x

This implies that X= 13

Answer:

5

Step-by-step explanation:

19-14=5

for the Tape diagram just make 19 boxes and fill in 5.

Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

Answer:

£122

Step-by-step explanation:

Total no. of pens :- 60× 14= 840

Cost of all pens :- £270

Total no. of pens sold :- 560

Cost of those pens :- £392

Charles made a profit of  £122, By selling (2/3)rd of his pens.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Charles buys 60 packs of pens and there are 14 pens in each pack.

If each pack costs £4.50.

So, The Total cost is,

=  £(60×4.50).

=  £270.

The total number of pens is,

= (14×60).

= 840, And he manages to sell (2/3) of it which is,

= (2/3)×840.

= 560.

Now, The total money made by him is,

= 540×0.7.

=  £392.

Therefore, The profit he made is  £(392 - 270) =  £122.

learn more about numerical expressions here :

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The answer to your question is 69

Applying the expression for the circumference of circle, we found the diameter as 16.86 yards

Given Data

Let us apply the expression for the circumference of a circle

Circumference = 2πr----------1

But r = d/2

hence put r = d/2 in the expression above

Circumference = 2πd/2----------2

Circumference = πd

Substitute our given data

53 = 3.142*d

Make d the subject of formula we have

d = 53/3.142

d = 16.86 yards

Learn more about mensuration of shapes here:

https://brainly.com/question/10628685

Answer:

Division property of equality

Step-by-step explanation:

If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:Division property of equality

Step-by-step explanation:If you have an equation with the variable not equal to one you want it to equal one so you would divide to get the variable to 1 so 5/5 and then you would do the same to the other side(75/5) d=15.

Answer:

6 6

---- ÷ ---

16 10

Step-by-step explanation:

equals 5/8

Step-by-step explanation:

First box =25

Second Box = 0.25

Febuary 10th because on the left colom it showss the dates just look for the 10

Answer:

Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5