can somebody help me please​

1) The relationship between the side lengths in ΔABD is c² = x² + h² by the Pythagorean Theorem.

2) . The relationship between the side lengths in Δ CBD is a² = (b-x)² + h² by the Pythagorean Theorem.

3) The expanded equation is e² = x² -12x + 36 + h²
4) the expanded equation is a² = b²-x²+32

According to the Pythagorean theorem, the square of the hypotenuse (c) of a right triangle equals the sum of the squares of the other two sides  (a² + b²).

So

1) The relationship between the side lengths in ΔABD is c² = x² + h² by the Pythagorean Theorem.

2) The relationship between the side lengths in Δ CBD is a² = (b-x)² + h² by the Pythagorean Theorem.

3) The equation is e² = (6 - x)² + h² when expanded

e² = 36 - 12x + x² + h²
or

e² = x² -12x + 36 + h²

4) Using this equation, we can solve for h² by subtracting (b-x)² from both sides:

a² - (b-x)² = h²

Now we can substitute this expression for h² into the equation given in step 3

2² = 6² - 2bx + (a² - (b-x)²)

Simplifying this equation, we get:

4 = 36 - 2bx + a² - (b-x)²

Expanding the square term, we get:

4 = 36 - 2bx + a² - (b² - 2bx + x²)

Simplifying further, we get:

4 = 36 - b² + x² + a²

Rearranging, we get:

a² = b² - x² + 32

So the equation expanded  is a² = b² - x² + 32.

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Full Question:

For 1 and 2, see attached image.
3)  The equation e²= (6 – x)² + h² is expanded y to become ?
4) Using the equation from step 1, the equation

2² = 6² - 2bx +32+ h becomes a = 62 - 2bx + 2

by substitution

22 = 62 - 2x + x2 +h?

Answer:

\(33 - 4x\)

Step-by-step explanation:

Given the term to be solved by explaining each step:

\(13 - 4(x - 5)\)

First of all, the bracket will be solved as per the BODMAS rule.

The bracket term is:

\(4(x-5)\)

Now, 4 will be multiplied with \(x\) and -5.

i.e.

\(4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)\)

Now, let us put the value back in the original expression.

\(13 - 4(x - 5) = 13-(4x-20)\)

Now, let us remove the bracket, negative sign will be multiplied with both i.e. \(4x\) and -20

\(\Rightarrow 13-4x+20 (\because\) negative multiplied with negative makes positive term)

Now, 13 and 20 are like terms, they will be added.

\(\therefore\) the expression is equivalent to :

\(\bold{33-4x}\)

Answer:

$13.50/hr

Step-by-step explanation:

Using r to represent her unknown pay rate, set up an equation based on the information given:

\(40r+11(2r)=837\)

Solve for r:

\(40r+22r=837\\62r=837\\r=13.5\)

Answer: The answer is 4/5

Step-by-step explanation:

Add the numerators and keep the denominators the same:

2/5 + 2/5 = 4/5

Answer:

D) 4/5

Step-by-step explanation:

When adding fractions together all you have to do is add the numerators together, you leave the denominators alone. So 2+2=4 and then you leave the 5's alone. So it would then be 4/5.

Hope this helps!!!

Answer:

See attached and view below.

Step-by-step explanation:

     A coordinate point is in terms of (x, y). Since we have (4, 3), the 4 is our x and the 3 is our y. X is left to right and y is up and down.

     A tip: You are going to "walk" to the elevator for the first number, and then go up/down for the second.

     First, find the number positive "4" on the x-axis, the horizontal one. This means moving four units to the right.

     Second, since the value of 3 is positive, we are going to go up 3 units from point (4, 0) to finish our graph.

Answer: Breadth = 3 ; Length  = 6

Step-by-step explanation:

Let the width be 'x'

Length = 2x

Perimeter = 18

Perimeter formula for rectangle = 2 ( length + breadth )

Substitute:

2 ( 2x + x ) = 18

2 ( 3x ) = 18

3x = 9

x = 3

Therefore, the width is 3.

The length is 2x = 2(3) = 6.

To check, find the perimeter:

2 ( 3 + 6 )

= 2 ( 9 )

= 18.

The perimeter is correct, therefore our answer for the width and breadth of the rectangle is correct.

The correct option is  (d) f(x,y) = 1/450, O < x, y < 30 and x+y = 30 be constant on the region where x and y are nonnegative and x + y s 30.

f(x,y) is constant on the region where x and y are nonnegative and x+y ≤ 30To find: f(x, 30-y)

Solution:

Let us first sketch the line x+y = 30 on xy-plane.  graph{y=-x+30 [-10, 10, -5, 5]}

The line x+y = 30 divides the xy-plane into two regions:

Region 1: x+y < 30 or y < 30-x, which is below the line

Region 2: x+y > 30 or y > 30-x, which is above the line

We are given that f(x,y) is constant on the region where x and y are nonnegative and x+y ≤ 30.

In other words, f(x,y) is constant in the region bounded by the x-axis, y-axis and the line x+y = 30 (including the line).

Let A(x, y) be any point in this region.

Let B(x, 30-y) be the reflection of the point A(x,y) about the line x+y = 30. Then, OB is the horizontal line passing through A and OC is the vertical line passing through B. graph{y=-x+30 [-10, 10, -5, 5]}  

Since f(x,y) is constant in the region, it is same at all the points in the region.

Therefore, f(A) = f(B)

Now, B is obtained from A by reflecting it about the line x+y = 30. Thus, the x-coordinate of B is same as that of A, i.e. x-coordinate is x. Further, the y-coordinate of B is obtained by subtracting y-coordinate of A from 30. Therefore, y-coordinate of B is 30-y.

Hence, we can write B as B(x, 30-y).

Therefore, we have f(A) = f(B(x, 30-y))Thus, f(x, 30-y) = f(x,y) for all non-negative x and y satisfying x+y ≤ 30.

The correct option is  (d) f(x,y) = 1/450, O < x, y < 30 and x+y = 30.

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1st one

- $22.32

2nd one

- $16.25

3rd one

- 8.68 lbs

4th one

- $16.24

Answer:

egypt

Step-by-step explanation:

WHERES MY BRAINLIEST

we differentiate f(x, y) with respect to y while treating x as a constant:

fy = ∂f/∂y = -6(-1)e^(-2x-y) = 6e^(-2x-y).

fy = 6e^(-2x-y).

Step 1: Find fx for the function f(x, y) = -6e^(-2x-y).

To find fx, we differentiate f(x, y) with respect to x while treating y as a constant:

fx = ∂f/∂x = -6(-2)e^(-2x-y) = 12e^(-2x-y).

Therefore, fx = 12e^(-2x-y).

Step 2: Find fy for the function f(x, y) = -6e^(-2x-y).

To find fy, we differentiate f(x, y) with respect to y while treating x as a constant:

fy = ∂f/∂y = -6(-1)e^(-2x-y) = 6e^(-2x-y).

Therefore, fy = 6e^(-2x-y).

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If she sells each of her cake for 3.10 and sold 24 cakes, she made a total of 3.10 x 24 = 74.4 (pounds)

Each cake costs 80p to make, so the cost to make all 24 cakes is 80 x 24 = 1920p, or 19.2 pounds.

So, she made a total of 74.4 - 19.2 = 55.2 pounds of profits.

Answer:

Boon Li spent 7/12 of his money altogether.

Answer:

A=85

B=58

Step-by-step explanation:

NO. OF 2 point basket⇒ A

NO. OF 3 point basket⇒B

A+B=89⇒ EQN 1

A=27+B

A-B=27⇒EQN 2

EQN 1 - EQN 2

2B=116

B=58

THEREFORE

 A=27+58

A=85

Answer:kepler's 3rd law

Step-by-step explanation:

Answer:

√8 = 2.828427125

√24 = 4.89897948557

Answer:

sry i cant i to dubm need points tho

Step-by-step explanation:

Answer:

aa is the repuestos yes ok

Answer:

A

Step-by-step explanation:

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

When resolving an inequality, you can, add the same amount to each side, take away the same amount from each side, multiply or divide each side by the same positive amount.

The complete question is,

How do you resolve an inequality equation?

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Work Shown:

\(a \bowtie b = a + \sqrt{b+\sqrt{b+\sqrt{b+...}}}\\\\7 \bowtie g = 7 + \sqrt{g+\sqrt{g+\sqrt{g+...}}} = 9\\\\\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 2\)

After subtracting 7 from both sides.

Note how because we have an infinite sequence of nested radicals, we can let \(x = \sqrt{g+\sqrt{g+...}}\) which means x is equal to 2 as well.

This lets us say

\(\sqrt{g+\sqrt{g+\sqrt{g+...}}} = \sqrt{g+x} = x\)

Solve the equation \(\sqrt{g+x}= x\) for x to get

\(\sqrt{g+x} = x\\\\g+x = x^2\\\\x^2-x-g = 0\\\\x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(1)(-g)}}{2(1)}\\\\x = \frac{1\pm\sqrt{1+4g}}{2}\\\\x = \frac{1+\sqrt{1+4g}}{2} \ \text{ or } \ x = \frac{1-\sqrt{1+4g}}{2}\)

Since x is positive, this means we only focus on the first equation in the last line above.

Earlier we let x be equal to the infinite nested radicals involving g, but x is also equal to 2. So plug in x = 2 and use that to find g.

\(x = \frac{1+\sqrt{1+4g}}{2}\\\\2 = \frac{1+\sqrt{1+4g}}{2}\\\\4 = 1+\sqrt{1+4g}\\\\3 = \sqrt{1+4g}\\\\9 = 1+4g\\\\1+4g = 9\\\\4g = 8\\\\g = 2\\\\\)

As a check, we can do the following

\(7 + \sqrt{2+\sqrt{2}} \approx 8.84775906502258\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2}}} \approx 8.96157056080647\\\\7 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2}}}} \approx 8.9903694533444\\\\\)

we're slowly approaching 9

Answer: \(g = \boxed{2}\)

Step-by-step explanation:

\(\sqrt{g+\sqrt{g+\sqrt{g+...}}}=2\)

implies that

\(\sqrt{g+\sqrt{g+\sqrt{g+...}}}=\sqrt{g+2}=2\).

Squaring both sides of this new equality, we have \(g + 2 = 4 \implies g = \boxed{2}\)

Answer:

36

Step-by-step explanation:

12 times 3 = 36

Answer:

F(x) +1 = 3x+3

Step-by-step explanation:

F(x)+1= 3x+3

Given that AC is a diameter of the circle, we can conclude that triangle ABC is a right triangle, with AC being the hypotenuse. The area of the circle is not directly related to finding the lengths of BC or AB, so we will focus on the given information: AB = 16 units.

Using the Pythagorean theorem, we can find BC. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC):

AC² = AB² + BC²

Substituting the given values, we have:

(AC)² = (AB)² + (BC)²

(AC)² = 16² + (BC)²

(AC)² = 256 + (BC)²

Now, we need to find the length of AC. Since AC is a diameter of the circle, the length of AC is equal to twice the radius of the circle.

AC = 2 * radius

To find the radius, we can use the formula for the area of a circle:

Area = π * radius²

Given that the area of the circle is 2897 units², we can solve for the radius:

2897 = π * radius²

radius² = 2897 / π

radius = √(2897 / π)

Now we have the length of AC, which is equal to twice the radius. We can substitute this value into the equation:

(2 * radius)² = 256 + (BC)²

4 * radius² = 256 + (BC)²

Substituting the value of radius, we have:

4 * (√(2897 / π))² = 256 + (BC)²

4 * (2897 / π) = 256 + (BC)²

Simplifying the equation gives:

(4 * 2897) / π = 256 + (BC)²

BC² = (4 * 2897) / π - 256

Now we can solve for BC by taking the square root of both sides:

BC = √((4 * 2897) / π - 256)

To find the measure of angle BC (mBC), we know that triangle ABC is a right triangle, so angle B will be 90 degrees.

In summary:

BC = √((4 * 2897) / π - 256)

mBC = 90 degrees

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Answer:

(x,y)= (-2,24)

Step-by-step explanation:

Answer:

(0,-4) & (-1,10)

Step-by-step explanation:

solve for the first variable in one equation then substitute the result into the other equation.

Point form:

(0,-4) & (-1,10)

Equation form:

x=0 y=-4

x=-1 y=10

Answer:

The similarities are;

1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°

2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third

3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems

The differences are;

1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle

2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is one of those questions that  has no answer. The first one is not a triangle. 3 and 6 = 9. Two of the legs have to longer than the third. 9 is not greater than 10.

So there is no answer. However leave a note of there is a mistake in what you wrote and I'll come back.

The other two are right (the middle one) and the last one is acute.

Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function