If y varies directly as x, if y = 8 when x = 4, find y when x = 48

Answer:

x = 18[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 9² = 27²

x² + 81 = 729 ( subtract 81 from both sides )

x² = 648 ( take the square root of both sides )

x = [tex]\sqrt{648}[/tex] = 18[tex]\sqrt{2}[/tex] ← exact value

x ≈ 25.5 ( to 1 dec. place )

Answer:

x = 8.44, y = 7.56

Step-by-step explanation:

x + y = 16 (equation 1)

5x - 4y = 12 (equation 2)

(x + y = 16)× 5

(5x - 4y = 12) × 1

9y/9 = 68/9

y = 7.56

Substitute the value of x in equation 1

x + 7.56 = 16

x = 16 - 7.56

x = 8.44

Therefore, x = 8.44, y = 7.56

Answer:

x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]

y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]

__________________

Step-by-step explanation:

There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.

This is how it's done:

x + y = 16

5x – 4y = 12

__________

4 ( x + y = 16 )

+ 5x – 4y = 12

[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]

___________

4x + 4y = 64

+ 5x – 4y = 12

__________

9x = 76

÷9 ÷9

[Dividing by the coefficient of 9x in x to get x]

______

x = 76 / 9.

_______

Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.

So:

x + y = 16

[substituting the value of x into the equation]

(76 / 9) + y = 16

[Creating a common denominator that

can be canceled out]

(76 / 9) + (9y / 9) = (144 / 9)

76 + 9y = 144

[Subtracting 76 from both sides to isolate 9y]

–76 –76

__________

9y = 68

÷9 ÷9

[Dividing both sides by the coefficient of 9y in y to get y]

_________

y = 68 / 9

_________

We can also verify that these variables have the correct value because:

x + y = 16

5x – 4y = 12

→

(76 / 9) + (68 / 9) = 16

5(76 / 9) – 4(68 / 9) = 12

__________________

(76 + 68 / 9) = 16

(380 / 9) – (272 / 9) = 12

___________________

144 / 9 = 16

(380 – 272 / 9) = 12

__________________

144 / 9 × 9 = 16 × 9

108 / 9 = 12

__________________

144 = 144 ✓

108 / 9 × 9 = 12 × 9

_________________

144 = 144 ✓

108 = 108 ✓

The best describes the slope of the line is,

⇒ Undefined

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

A line is shown in graph.

Since, In the graph of line, we have;

A straights line is shown and the x - coordinates is same for each point of line.

Hence, By definition of slope,

Slope = undefined

Thus, The best describes the slope of the line is,

⇒ Undefined

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7

Answer:

1240000 (3 sig. fig.)

Step-by-step explanation:

1000000x(1.075)^3 ~= 1242296.875 = 1240000 (3 sig. fig.)

Answer:

Write the expression as a – 90

Simplify by subtracting 90 from 102.

The answer is 12.

Step-by-step explanation:

Write and evaluate the expression. Then, check all that

apply

the difference of a number and ninety;

o Write the expression as

90

when a = 102

Subtraction Words

Write the expression as 90-a.

Write the expression as a -90,

O Substitute 102 in for the variable, a.

Simplify by subtracting 90 from 102.

Simplify by dividing 102 by 90.

decreased by

difference

fewer

The answer is 1.13.

less than

The answer is 12.

subtract

Let

The unknown number = a

The expression is

a - 90

Substitute a = 102

a - 90

= 102 - 90

= 12

The answer is - /C, D, E, H/

                        - /3, 4, 5, 8/

                        - "Write the expression as a – 90.",

                         "Substitute 102 in for the variable, a.",

                         "Simplify by subtracting 90 from 102.",

                         "The answer is 12."

                           I hope it makes sense, you're welcome!

Answer:

10x+6

Step-by-step explanation:

simplify step-by-step.

−5x+3+15x+3

Combine Like Terms:

=−5x+3+15x+3

=(−5x+15x)+(3+3)

=10x+6

Answer:

A) 10x +6

Step-by-step explanation:

Add -5 and 15x.

Add 3 and 3

10x +6

Answer:

It is 23

Step-by-step explanation:

BC= FE

(x-4)=19

Therefore x= 23

Answer:

Volume of the cylinder =

= 36πh cubic feet

= 113.1h cubic feet

Step-by-step explanation:

In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet? Group of answer choices

The formula for the volume of a cylinder is = πr²h

From the above question:

Diameter = 12 feet

Radius = Diameter/2

= 12 feet/2 = 6 feet

Height = h

Hence:

Volume of the cylinder =

(π × 6² × h )cubic feet

= 36πh cubic feet

= 113.09733553h cubic feet

Approximately = 113.1h cubic feet

Answer:

Step-by-step explanation:

Put them in your calculator. I think you'll find 2.95 is larger by 0.001

Do it like this 2.95 - 2.949 = 0.001

Answer:

y=1/2x-7/2

Step-by-step explanation:

Since the line is parallel, we know that the slope is the same as the equation given: 1/2. So you just plug in the coordinates for x and y. So it would be -2=1/2(3)+b because we don't know what the intercept is for this line. If you simplify the equation you'll get -2=1.5+b. Then, you must isolate B, so you would get -3.5=b or -7/2.

Answer:

∠ BAD = 80°

Step-by-step explanation:

∠ ACB = 90° ( angle in a semicircle )

∠ CAB = 180° - (90 + 30)° ← sum of angles in Δ ABC

∠ CAB = 180° - 120° = 60°

Then

∠ BAD = ∠ CAD - ∠ CAB = 140° - 60° = 80°

Answer:

80° is the answer

Step-by-step explanation:

I just took the test

supplementary i think

Answer:

They have the same y-intercept of -6.

Answer:

11.25

Step-by-step explanation:

of-contained refers to multiplication

3/4*15

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

Answer:

C) ( -2, 6)

Step-by-step explanation:

y = -3x

y = 5x + 16

-3x = 5x + 16

-8x = 16

x = -2

y= -3(-2)

y = 6

(x,y) ---> ( -2, 6)

Answer:

C) 120

Step-by-step explanation:

Use three times five and minus one times

you will get 12 and multiply by 10

Answer:

[tex]63in^2[/tex]

Step-by-step explanation:

To find the area of the larger, complex figure, divide the shape up into smaller figures, solve for the area of each smaller part and then add up the answers to find the total area. The figure can be divided into two rectangles and a square.

The two rectangles are congruent, their dimensions are the following,

9in x  3in

The area of the square is the following,

3in x 3in

To find the area of both of these figures, one uses the formula,

[tex](length)(width)[/tex]

Substitute in each dimension and solve for the total area by adding up the results,

[tex]((9)(3))+((9)(3))+((3)(3))\\\\=(27)+(27)+(9)\\\\= 63[/tex]

Answer:B

62ç=32-86

62c=-54

C=0.87

Answer:

D

Step-by-step explanation:

Combine like terms

Answer:

[tex]8*12[/tex]

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, [tex]8*12[/tex] is the final expression; this equals 96.

Answer:

B. 24 flights

Step-by-step explanation:

5% of 480 is 24

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Supplementary angles

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

ok mag lazada ka nalang te

Dont know but mabye someone who is not 8 will know

Answer:

x(12y+4)

Step-by-step explanation: