2. Determine whether each table of values represents a linear function. If so write the function. If not, explain why.

Answer:

A and C r the answers

Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.

Extra: #1 Obtuse scalene triangle.

Sides: a = 4   b = 5   c = 1.051

Area: T = 0.724

Perimeter: p = 10.051

Semiperimeter: s = 5.026

Angle ∠ A = α = 16° = 0.279 rad

Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad

Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad

Height: ha = 0.362

Height: hb = 0.29

Height: hc = 1.378

Median: ma = 3.009

Median: mb = 1.517

Median: mc = 4.497

Inradius: r = 0.144

Circumradius: R = 7.256

Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]

Centroid: CG[-0.901; 0.459]

Coordinates of the circumscribed circle: U[0.526; 7.237]

Coordinates of the inscribed circle: I[0.026; 0.144]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 164° = 0.279 rad

∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad

∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.

Answer:

i think its b

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

A+B=C

A^2+X=C^2

12^2+X=24^2

144+X=576

/144        /144

    x=4

Answer:

Since this graph is continuing, y must be any real number. So, d.

Answer: the answer would be F

Step-by-step explanation:

Answer:

1 / 8

Step-by-step explanation:

Given the data

_____Favor __Oppose__ No Opinion__Total

Demo 320___ 150 ______50 _______ 520

Repub 125___ 345 _____ 10 _________480

Total 445 ___495 ______60 ________ 1000

what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica

From the table provided :

n(favor n republican) / n(Total)

Number of republican who are in favor = 125

Total number of persons = 1000

Hence,

125 / 1000

= 1/8

Answer:

Step-by-step explanation:

n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)

to find m:

20^2 + 20^2 = m^2

400 + 400 = m^2

800 = m^2

m = square root(800)

m = square root(400)xsquare root(2)

m = 20square root(2)

Answer:

0.3

Step-by-step explanation:

Let x be what you need to subtract

I hope this helps!

Answer:

3/10

Step-by-step explanation:

83/10 - 3/10 = 80/10 = 8

Answer:

[tex]y = -\frac{2}{3}x - 7[/tex]

Step-by-step explanation:

Given

[tex]Point = (6,-11)[/tex]

[tex]Equation: y = -\frac{2}{3}x + 12[/tex]

Required

Determine the equation of the point

First, we need to determine the slope of the point.

Since the point is parallel to the given equation, then they have the same  slope (m).

The general form of an equation is:

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

Where

[tex]m = slope[/tex]

By comparison:

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

The equation of the point in slope intercept point is:

[tex]y -y_1 = m(x-x_1)[/tex]

Where

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

[tex](x_1,y_1) = (6,-11)[/tex]

Substitute these values in the equation:

[tex]y - (-11) = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}x + \frac{2}{3}*6[/tex]

[tex]y +11 = -\frac{2}{3}x + 4[/tex]

Subtract 11 from both sides

[tex]y = -\frac{2}{3}x + 4-11[/tex]

[tex]y = -\frac{2}{3}x - 7[/tex]

Answer:

k

Step-by-step explanation:

k

Answer:

Step-by-step explanation:

The absolute value equation for the amount of money in Sandy's pocket is given as;

|x - 245| = 25

The equation for the maximum amount of money in Sandy's pocket is given as;

x - 245 = 25

x = 25 + 245

x = $270

The equation for the minimum amount of money in Sandy's pocket is given as;

x - 245 = -25

x = -25 + 245

x = $215

Answer: f=-2

Step-by-step explanation:

math

Answer:

f < -2

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.

Answer: Infinite Solutions

Step-by-step explanation: Make the top x and y values times -2 to cancel all the variables and numbers out to get 0 = 0 so it would be Infinite Solutions.

And if you multiply by 2 you get the exact same equation.

If I am wrong let me know!

Hope this helps!  

Answer:

Correct I think

Step-by-step explanation:

9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

Answer:

An odd number is any number than can't be divided by two ! Some examples are 1, 3, and 5.

Any integer (not a fraction) that cannot be divided exactly by 2. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers.

Answer: 4(3x +5) or 2(6x +20)

Step-by-step explanation:

9514 1404 393

Answer:

  (a) -29,884,416

  (b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ

Step-by-step explanation:

(a) The coefficient of the k-th term of the expansion is ...

  C(20,k)(3x)^(20-k)(-2y)^k

For k=19, this is ...

  19(3x)(-2y)^19 = -29,884,416xy^19

The coefficient of the term is -29,884,416.

__

(b) The p-th term of the expansion of (x +1/x)^n is ...

  C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))

For some exponent k of x, the value of p will be ...

  k = n -2p

  p = (n -k)/2

Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).

You will notice that there will only be a term x^k for k having the same parity as n.

Answer:

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

9514 1404 393

Answer:

  5

Step-by-step explanation:

To solve the inequality, we can do the following.

  4.55g + 8.50 ≤ 35 . . . given

  4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides

  g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55

The number of games must be an integer value, so the maximum number of games they can bowl is 5.

Answer:

The value of b is 6 and the value of c is also 6

Step-by-step explanation:

We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.

So,

ΔUWV≅ΔEDF

Then

WV ≅ DF

WU ≅ DE

UV ≅ EF

So,

Putting their respective value equal:

WV = DF

[tex]9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6[/tex]

Hence,

The value of b is 6 and the value of c is also 6