Which table represents a linear function?

Answer:

Step-by-step explanation:

[tex]\text{By the Pythagorean Theorem the hypotenuse of a right triangle squared is equal to the sum of the squared sides.}\\ \\ h^2=x^2+y^2\\ \\ 33^2=31^2+x^2\\ \\ x^2=33^2-31^2\\ \\ x^2=128\\ \\ x=\sqrt{128}\\ \\ x\approx 11.3m[/tex]

Answer:

in 136 miles=7 gallons

?=42 gallon

= 136=7

?=42

cross multiply

136×42=5,712

=5,712÷7=816

Answer:

816 miles

Step-by-step explanation:

136miles/7 g =19.43

19.43 x 42 ≅ 816.06

or

136/7 = X/42

solve for X

42/7 =6, then 136 x6= 816

x = 816 miles

Answer:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]

Required

Decompose into partial fraction

Start by factorizing the denominator:

[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]

[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]

[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]

So, we have:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

Take LCM

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]

Cancel out the denominator

[tex]x - 20 = A(x+5)+B(x-4)}[/tex]

Open brackets

[tex]x - 20 = Ax+5A+Bx-4B[/tex]

Collect Like Terms

[tex]x - 20 = Ax+Bx+5A-4B[/tex]

[tex]x - 20 = (A+B)x+5A-4B[/tex]

By comparison;

[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]

[tex]5A - 4B = 1[/tex]

Make A the subject in [tex]A + B = 1[/tex]

[tex]A = 1 - B[/tex]

Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]

[tex]5(1-B) -4B = 1[/tex]

[tex]5-5B -4B = 1[/tex]

[tex]5-9B = 1[/tex]

Collect Like Terms

[tex]-9B = 1 - 5[/tex]

[tex]-9B = - 4[/tex]

[tex]B = \frac{4}{9}[/tex]

[tex]A = 1 - B[/tex]

[tex]A = 1 - \frac{4}{9}[/tex]

[tex]A = \frac{9-4}{9}[/tex]

[tex]A = \frac{5}{9}[/tex]

So:

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]

[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]

Answer:12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer/Step-by-step explanation:

1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)

Collect like terms

7x - 5x = -2 + 22

2x = 20

2x/2 = 20/2

x = 10

2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)

Collect like terms

13x - 10x = 6 + 24

3x = 30

3x/3 = 30/3

x = 10

3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)

12x + 26 + 46 = 180

12x + 72 = 180

12x + 72 - 72 = 180 - 72

12x = 108

12x/12 = 108/12

x = 9

4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)

5x + 5 + 135 = 180

5x + 140 = 180

5x + 140 - 140 = 180 - 140

5x = 40

5x/5 = 40/5

x = 8

Answer and Step-by-step explanation:

31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.

That means we can solve for y using the trigonometric function of tangent.

[tex]tan(31) = \frac{y}{600}[/tex]

Multiply by 600 to both sides, then use a calculator to solve.

600(tan(31)) = x

x = 360.5163714

x ≈ 360.5 is the answer.

Answer:$1312.5

Step-by-step explanation:

1500x1.875=2812.5

2812.5-1500=1312.5

Answer:

27 feet

Step-by-step explanation:

There are 3 feet in 1 yard. 9×3=27

Answer:

-0.3333333333

Step-by-step explanation:

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

Answer:

3x-2

Step-by-step explanation:

3 times a number is 3x, if we use x as the number

Two less than (3x) is 3x - 2

SLOPE INTERCEPT FORM: y = 7x −23

Answer:

C. concurrent power

Step-by-step explanation:

Such powers are called concurrent powers. These include the power to tax, spend, and borrow money. State governments operate their own judicial systems, charter corporations, provide public education, and regulate property rights.

Answer:

A. 29.1020

Step-by-step explanation:

Rewrite it:

29°6'6"

29° + 6(1/60)° + 6(1/3600)°

Simplify:

29° + 0.1° + 0.002°

= 29.102

So, the correct answer is A, 29.1020

9514 1404 393

Answer:

  neither

Step-by-step explanation:

A polynomial consisting of even-degree terms only is even.

A polynomial consisting of odd-degree terms only is odd.

The given f(x) polynomial has both even- and odd-degree terms, so is neither.

Answer:

Assuming that you mean 1/6, the answer would be 3 .

Step-by-step explanation:

1/6 x 18 is equal to three.

Step-by-step explanation:

4+12x=7

12x=7-4

12x=3

X=3/12

X=0.25

Answer:

-1/8   <----- FRACTION

Step-by-step explanation:

Answer:

hgyt67rdjhhrgytr7ugjv. hgehalk4

Step-by-step explanation:

Answer:

No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Step-by-step explanation:

Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Both triangles are similar as,

∠QUR ≅ ∠TUS (vertical angles)

∠R ≅ ∠S (alternate interior angles).

So, By AA similarity criteria triangles are similar.

Learn more about similarity here:

https://brainly.com/question/17170212

#SPJ5

Answer: 420

Step-by-step explanation:

I took the test and got it right lol

Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

Answer:

160 cans for 5 pounds of aluminum

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

Given inequalities are,

81 > x and x > 68

Therefore, 81 > x > 68 is the inequality representing the solution area for x.

Out of x = 88, 85 and 80,

x = 80 will lie between the range of x = 68 and x = 81.

Therefore, Option (C) will be the correct option.

Answer:

d = 5√2 units

Step-by-step explanation:

Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the values with your endpoints.

d = √[(-6 - (-7))² + (4 - 11)²]

Solve within the parentheses.

d = √[(1)² + (-7)²]

Solve the exponents.

d = √[1 + 49]

Solve within the brackets.

d = √50

Simplify the square root.

25 • 2 = 50

√25 • √2 = √50

5 • √2 = √50

d = 5√2 units

Hope this helps!

Answer:

the selling price is 18,400

Step-by-step explanation:

The computation of selling price is shown below:

Given that

The cost price of the shirts is 20,000

And, there is a loss of 1,600

So, the selling price is

= 20,000 - 1.600

= 18,400

hence, the selling price is 18,400

Answer:

-2

Step-by-step explanation:

Integers can be positive or negative.

Answer:

5 for $4.45

Step-by-step explanation: