Express y in terms of x

Express Y In Terms Of X

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

(a)

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation

To find k use any ordered pair from the table.

Using (1, 4 ) , then

4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1

4 = k

y = [tex]\frac{4}{x^2}[/tex] ← equation of variation

(b)

When y = 25 , then

25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )

25x² = 4 ( divide both sides by 25 )

x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]

Since x > 0 then x = [tex]\frac{2}{5}[/tex]


Related Questions

can some one answer please

Answers

Answer:

B (HI/GI)

Step-by-step explanation:

Remember Soh Cah Toa.

Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.

3(x + 1)2 = 108
Create a list of your steps

Answers

Answer: 17

Step-by-step explanation:

3(x+1)2=108

Distribute the 3 first: (3x+3)2=108

Then divide by 2 on both sides: 3x+3= 54

Subtract 3 from both sides: 3x=51

Divide by 3 on both sides: x=17

Drag each label to the correct location on the image.
Here is a multiplication sentence:

(1 × 4) × 2 = 8

Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of multiplication.

Answers

Answer:

1 x (4 x 2) = 8

Step-by-step explanation:

1 x (4 x 2) = 8

answer pelase answer please

Answers

Answer:

The y intercept of Function A is less than the y intercept of Function B.

Step-by-step explanation:

To find the y-intercept of the equation for A set x=0 and solve for y

Y=4(0)+1 therefore the y intercept for equation A is y=1

To find the y intercept for graph B you find the point where the graph intercepts the y axis which in this case it looks like it intercepts(crosses) the y axis at y=2

Therefore equation A y- intercept(y=1) < equation B y-intercept (y=2)

Hopefully this helps! If it did please mark brainliest! Feel free to ask me any other questions :)

WILL MARK AS BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

mulitiply by 2

A dog is leashed to a point in the center of a large yard, so the area the dog is able to
explore is circular. The leash is 25 feet long. What is the area of the region the dog is able to
explore. Use 3.14 for pi. Round to the nearest tenth if necessary.

Answers

Answer:

78.5

Step-by-step explanation:

The radius of the circle is 25 so youu multiply that by 3.14

25*3.14=78.5

URGENT! What are the residuals for the scatter plot. Thank you!

Answers

Answer:

demos & mathaway

Step-by-step explanation:

I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.

Camila has two summer jobs. During the week she works in the grocery store, and on
the weekend she works at a nursery. She gets paid $20 per hour to work at the
grocery store and $21 per hour to work at the nursery. How many total hours does
she work if she does 10 hours at the grocery store and 6 hours at the nursery? How
many total hours does she work if she does g hours at the grocery store and n hours
at the nursery?

Answers

Answer:

Camila works 16 hours if she does 10 hours at the grocery store and 6 hours at the nursery.

Camila works g+n hours if she does g hours at the grocery store and 6 hours at the nursery.

Step-by-step explanation:

1. Add up the grocery store hours and the nursery hours together.

10+6=16

g+n=g+n

Please rate this answer Brainliest!

Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?

Answers

To make 90 tortillas, he needs to make 6 batches. 6*15=90
2 cups masa per batch ->. 2 * 6=12 cups Masa
1.5 water per batch -> 1.5. * 6= 9 cups water

Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

What is division?

A method of dividing something into equal parts is called division.

How to solve this problem?

Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.

Edgar wants to make 90 tortillas.

We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.

1 bunch of 15 tortillas needs 2 cups of masa.

So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.

Again 1 bunch of 15 tortillas needs 1.5 cups of water.

So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.

Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.

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What is the cube root of 216x^9y^18 ?


A: 4x^3y^6
B: 6x^3y^6
C: 72x^6y^15
D: 213x^6y^15

Answers

[tex]4 {x}^{3} {y}^{6} [/tex]

OPTION A

Answer:

option B

Step-by-step explanation:

Cube root of x means  [tex]x^{\frac{1}{3}[/tex]

Formulas used :

[tex](a^x)^y = a^{xy}[/tex]

[tex](b^3)^{\frac{1}{3}} = b[/tex]

Therefore cube root of :

                   [tex](216 x^9 y^{18})^{\frac{1}{3}} = (6^3 \times (x^3)^3 \times (y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= (6^3)^{\frac{1}{3}} \times ((x^3)^3)^{\frac{1}{3}} \times ((y^6)^3)^{\frac{1}{3}}[/tex]

                                     [tex]= 6 \times x^3 \times y^6[/tex]

                                     [tex]=6x^3y^6[/tex]

Which description best describes an Irrational number? (2 Points) A repeating decimal A fraction A perfect Square A non-terminating non-repeating decimal

Answers

A repeating decimal (rational ends, irrational doesnt)

The area of a swimming pool is 119 square meters. The width of the pool is 7 meters. What is the length of the pool in centimeters?

Answers

Answer:

17 meters

Step-by-step explanation:

Area = Length x Width

Width = 7

Area = 119

Solving for: Length

Equation:

119 = 7 * x

Solving for Length (x) :

119 = 7 * x

x = 119/7

x = 17

Units = meters

Answer: 17 meters

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The total length of 8 bricks is 75cm longer than the total length of 5 bricks. Write an equation and solve it to find the length of each brick.

Answers

Answer:

8x = 75 + 5x

where x = length of one brick

25cm

Step-by-step explanation:

When Alissa was 5 years old, she started collecting pennies. She collects an average of 24 pennies per week . How many pennies can she collect in 27 week?

Answers

Answer:

Step-by-step explanation:

648 I think

Order the integers from least to greatest. 4, –4, –2, 2, –8

Answers

answer:
-8, -4, -2, 2, 4

hope this helps

NOT DRAWN TO SCALE. find x​

Answers

picture? I cant answer when there us no picture?

How many situations are there to the systems of equations graphed below if the lines are uuu parallel?

Answers

Answer:

2

Step-by-step explanation:

Yes the parallel line segment to eat the answer

Help please I need help

find X

Answers

Answer:

[tex]x = 145[/tex]

Step-by-step explanation:

1.Approach

To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.

Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.

It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).

2. Find the measure of two angles in the triangle

The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,

[tex]x+(unknown)=180[/tex]

Solve for unknown,

[tex]unknown = 180 - x[/tex]

One can also state,

[tex]170+(unknown_2)=180[/tex]

Solve for the unknown,

[tex]unknown_2=10[/tex]

3.Find the degree measure of one of the angles in the octagon

The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.

The formula to find the sum of interior angles in a polygon is as follows,

[tex]S=180(n-2)[/tex]

Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,

[tex]S=180(n-2)\\\\S=180(8-2)[/tex]

Simplify,

[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]

Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.

[tex]1080[/tex] ÷ [tex]8 = 135[/tex]

4. Find the measure of the final angle in the triangle

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.

5. Find the meausre of (x)

The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,

[tex](180-x)+(10)+(135)=180[/tex]

Simplify,

[tex]325-x=180[/tex]

Inverse operations,

[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]

If a value started at 1000, Increased 7 times, and ended at 12000, how much did the value increase each time?

Answers

Answer:

the value of increase each time is 1,571.43

Step-by-step explanation:

Given;

original value of the number, A = 1000

final value of the number, N = 12,000

Assuming the number increased equally each time, let the value of increase each time = x

The following linear equation will be obtained to solve for x;

7x + 1000 = 12,000

7x = 12,000 - 1,000

7x = 11,000

x = 11,000/7

x = 1,571.43

Therefore, the value of increase each time is 1,571.43

What is the volume, in cubic inches, of a basketball with a diameter of 9 inches?
A.121.5π
B.273.4π
C.324π
D.972π

Answers

Answer:

the answer is c

C.324π

f(n) = 4n +7
Is it geometric or arthmetric

Answers

Answer:

geomatric

Step-by-step explanation:

Answer:

Arithmetic

Step-by-step explanation:

The difference between terms is constant

Acellus
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
Help Resources
r = 4 cm
4 √2 cm
[?]%
Round to the nearest tenth of a percent.
Enter

Answers

Answer:

The Probability is 63.7%

Step-by-step explanation:

We need to calculate the area of the circle and the area of the square

From the question, we can see that the square is of side 4 √2 cm

The area of the square is simply the square of its side length

We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2

The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm

So, we have the area of the circle as;

Pi * r^2

= 22/7 * 4 * 4 = 50.3 cm^2

so, to find the probability, we need to divide the area of the circle by the area of the square

we have this as;

32/50.3 = 0.6366

In percentage, we simply multiply by 100% to give

0.6366 * 100% = 63.66%

To the nearest tenth, this is 63.7%

Find the perimeter of the figures shown below.

Answers

Answer:

The perimeter would be 32.6 ft.

Step-by-step explanation:

5.7+ 5.7+10.6+10.6=32.6

hey pls help asap
it's urgent due within 1 hr​

Answers

Answer:

I.       C. Both A and B

II.      D. All of the options

III.     B. Help in making people a valuable resource

Complete the equation describing how x and y are related.

Answers

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

is (0,0) a solution to x + y > 5 , 2x - y < 4​

Answers

Answer:

(0,0) is not a solution to x + y > 5 , but it is a solution for 2x - y < 4

Step-by-step explanation:

Substitute x=0,y=0

0>5 (not possible)

0<4(possible)

SSSSSSS
Which expression is equivalent to
(2g^3+4)^3
?
4g^6+16
4g^6 + 16g^3 +16
4g^6 + 8
4g^9 + 16g^3+8

Answers

Answer: answer is c pls mark me brain

Step-by-step explanation:

The expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (2g³+4)²

We have to find the equivalent expression of the given expression

Equivalent expressions are expressions that work the same even though they look different

We know that (a+b)²=a²+b²=2ab

(2g³+4)² = (2g³)² + 4² +2.2g³.4

=4g⁶+16+16g³

Hence, the expression 4g⁶+16+16g³ is equivalent to expression  (2g³+4)²

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What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the segment into a ratio of 2 to 3?

Answers

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]

Therefore, the required point is located as follows;

[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]

The coordinates of the point is (0, -4)

A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.

A) 13.0
B) 10.5
C) 1.3
D) 1.05

Answers

Answer:

[tex]\text{C. }1.3[/tex]

Step-by-step explanation:

The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].

What we're given:

[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8

Substituting given values, we get:

[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]

Un cable guía de 600 pies esta sujeto a la parte superior de una torre de comunicaciones. Si el cable forma un ángulo de 65° con la Tierra. ¿Cuál es la altura de la torre de comunicaciones?

Answers

Answer:

La torre tiene 543.78 pies de altura.

Step-by-step explanation:

Podemos pensar en esta situación como si fuera un triángulo rectángulo, donde el cable es la hipotenusa y la torre es uno de los catetos. (Abajo se puede ver un dibujo de esta situación).

Nosotros queremos encontrar el valor de H, que es el cateto opuesto al ángulo conocido de 65°.

Entonces simplemente podemos usar la relación:

Sin(θ) = (cateto opuesto)/(hipotenusa)

donde:

cateto opuesto = H

θ = 65°

hipotenusa = 600 ft

sin(65°)  = H/600ft

sin(65°)*600ft = H = 543.78 ft

La torre tiene 543.78 pies de altura.

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