What is the equation, in point-slope form, of the line passing through the point (-6, -2) with a slope of 3/5?

Step-by-step explanation:

Let ABC be an isosceles triangle with sides AC and BC of equal length.                

We need to prove that the medians AD and BE are of equal length.

Consider the triangles ADC and BEC.

They have two congruent sides that include congruent angles.

Indeed, AC = BC by the condition, because the triangle ABC is isosceles.

Since the lateral sides AC and BC are of equal length, their halves EC

and DC are of equal length too: EC = DC.

Finally, the angle ECD is the common angle.

Thus, the triangles ADC and BEC are congruent, in accordance to the

postulate P1 (SAS) (see the lesson Congruence tests for triangles of the

topic Triangles in the section Geometry in this site).

Hence, the medians AD and BE are of equal length as the corresponding sides

of these triangles.

The proof is completed.

Answer:

I attached a picture for the answer.

Step-by-step explanation:

Hope this helps!! Please make me Brainliest!

Answer:

Please Check the picture the answer is in there!

The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise

We are given;

z = 3(cos(15°) + i sin(15°))

w = 5(cos(90°) + i sin(90°))

Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.

Thus, option A is the correct answer.

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Answer:

1.44 meters squared

Step-by-step explanation:

area = h · b

1.60 * 0.75 = 1.2

1.2 * 1.2 ( to find area in m square ) = 1.44

Let's say that 'a' is some positive number. Let's pick a = 5.

That means |x| = a turns into |x| = 5

The equation |x| = 5 solves to x = -5 or x = 5.

This is because the values -5 and 5 on the number line are exactly five units away from zero.

In short, a = 5 leads to |x| = a having the two solutions x = -5 or x = 5.

-------------------

Keeping the same value of 'a', the equation |x| = -a turns into |x| = -5

What number on the number line is exactly negative 5 units away from zero? The answer is "no such number exists". Distance is never negative.

Therefore, |x| = -5 has no solutions.

--------------------

So if a = 5, then the first equation |x| = a has two solutions, while |x| = -a has no solutions.

If we made 'a' to be some negative number, then things would flip around. In this case, it would mean |x| = a has no solutions while |x| = -a has two solutions.

The only time both equations would have a solution is when a = 0

We can see that |x| = a becomes |x| = 0, and |x| = -a becomes |x| = -0 or just |x| = 0 which is the exact same thing the first equation turned into. We're dealing with the same equation at this point.

--------------------

If your teacher states "The value of 'a' is nonzero", then the two equations do not have the same solution set. If a = 0, then it leads to x = 0 as the only solution for both equations.

The equation of the line that is tangent to the graph of the given function at the specified point (-1, -2) is y = 4x + 2.

To find the equation of the line that is tangent to the graph of the function f(x) = -2x^3 + x^2 + 1 at the point (c, f(c)) where x = -1, we need to find the derivative of the function and evaluate it at x = -1.

First, let's find the derivative of f(x):
f'(x) = -6x^2 + 2x

Next, let's evaluate the derivative at x = -1:
f'(-1) = -6(-1)^2 + 2(-1) = 6 - 2 = 4

So, the slope of the tangent line is 4.

Now, we can use the point-slope form of the equation of a line to find the equation of the tangent line.

The equation is:

y - f(c) = m(x - c)

Substituting the values, we get:

y - f(-1) = 4(x - (-1))
y - (-2 + 1 + 1) = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 2

Therefore, the equation of the line at the point (-1, -2) is y = 4x + 2.

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Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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Answer:

d) 4

Step-by-step explanation:

All sides are equal

3y = y +8

3y - y = 8

  2y = 8

    y = 8/2

y = 4

\( \boxed{\dfrac{45}{36}}\)

Step-by-step explanation:

\( \dfrac{90}{108} \)

The sum of the three angles of any triangle is equal to 180 degrees.

\( \boxed{\dfrac{45}{36}}\)

Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

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Answer:

Least to Greatest

-1.98, -0.9, -1 \(\frac{8}{9}\), -1.68

Step-by-step explanation:

In the case of negative numbers the "larger" the number is, the least it is. For the fraction I just tossed 8/9 into my calculator to get the decimal version that way I could put it in order accuratly.

Segment is a portion of line

The correct answer is segment and line.

The following information should be considered;

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The solutions to the blanks are Circle, y-axis and 5 units, respectively.

The equation of the circle whose center is coordination at (h,k) and radius is r will be

(x -h)² +(y -k)² = r²

where (h,k) is the coordination of its center and r is the radius.

We have,

r = 5 sinΘ

So,

When the center of the circle is at origin (0,0);

Then x² + y² = r²

So,

We have, r = 5 sinΘ

So,

For 0 ≤ θ ≤ π,

The circle is developed above the x-axis and  symmetrical about the y-axis (θ=π/2)

The circle has a radius of 5/2, centered at (0, 5/2), so the diameter is 5 units.

And hence the greatest distance between any two points on a graph is 5 units.

Therefore, the solutions to the blanks are Circle, y-axis, and 5 units, respectively.

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Answer: 1/3, 1, 127/100, 1.4

Hope this helps

Answer:

What is the question?

Step-by-step explanation:

The most appropriate choice for expanded form of a number will be given by-

We can expand 2015473, as 2015473 can be written as                 200000 + 15000 + 400 + 70 + 3

And every integers can be written in expanded form.

What is expanded form of a number?

At first it is important to know about integers.

A number with no fractional parts is called integer. Integers can be positive, negative and zero is also an integer.

Expanded form of a number is equal to the sum of place value of its digit.

For example, for 423, place value of 4 = 400, place value of 2 = 20, place value of 3 = 3

423 = \(400 + 20 + 3\)

Here,

2015473 can be written as 200000 + 15000 + 400 + 70 + 3

every integer can be written in expanded form.

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Equation =》s = x² - 3

To change the subject to 'x' :-

\(\tt\:s = x ^ { 2 } - 3\)

\(\tt\:x^{2}-3=s\)

\(\tt\:x^{2}=s+3\)

So,

\(\boxed{\tt\:x=\sqrt{s+3}}\)

\(\boxed{\tt\:x=-\sqrt{s+3}\text{, }s\geq -3}\)

=》'x' can be any of the 2 values in the boxes.

_______

Hope it helps ⚜

Answer:

I agree with RainbowSalt2222

Step-by-step explanation:

It is correct exactly what I got

Answer:

b = 2.25

Step-by-step explanation:

Here, we want to get the value of b

from the question;

s(x) = ab^n

Firstly;

15 = a•b^5

Secondly

170 = a•b^8

Divide second by first

170/15 = ab^8/ab^5

11.33 = b^3

b is the cube root of 11.33

b = 2.25

V= (4d^2 - 48d + 96) / (-36(d - 1)^2) will be the expression for the volume of the following prism when the dimensions of the prism are given.

The quantity of space a three-dimensional figure occupies is measured by its volume. It is determined by multiplying the object's length, breadth, and height, and is generally symbolized by the letter "V". For example, the volume of a cube with sides of length 3 units is 3 x 3 x 3 = 27 units.

The formula 4/3r3 may be used to determine a sphere's volume, where r is the sphere's radius. The area of the base times the height of the cylinder, or r2h, yields the volume of a cylinder.

It's important to remember that the volume of a three-dimensions figure varies depending on its shape and size.

How to solve?

V = (d - 2/3d - 9) * (4/d - 4) * (2d - 6/2d - 4)

V = (d - 2/3d - 9) * (4/d - 4) * (4d - 24/4d - 16)

V = ((d - 2)/(3d - 9)) * (4/d - 4) * (4d - 24/4d - 16)

V = ((d - 2)/(3d - 9)) * (4/(d - 4)) * (4d - 24/(4d - 16))

V = ((d - 2)/(3d - 9)) * (4/(d - 4)) * (4d - 24/(4d - 16))

= ((d - 2) * 4 * (4d - 24)) / ((3d - 9) * (d - 4) * (4d - 16))

= (4d^2 - 48d + 96) / (12d^2 - 48d^2 + 144d - 36)

= (4d^2 - 48d + 96) / (-36d^2 + 144d - 36)

= (4d^2 - 48d + 96) / (-36(d^2 - 4d + 1))

= (4d^2 - 48d + 96) / (-36(d - 1)(d - 1))

V= (4d^2 - 48d + 96) / (-36(d - 1)^2)

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Answer:

1680

Step-by-step explanation:

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

For any positive integer k, the radius of convergence R is: If k ≥ -2, R = 0 (the series diverges for all x). If k < -2, R = ∞ (the series converges for all x).

To find the radius of convergence,

R, of the series Σ\([n!^{k+3} / ((k + 3)n)!]\)\(x^n\)  (n = 0 to infinity),

we can use the ratio test.

Step 1: Apply the ratio test

Consider the ratio of consecutive terms:

L = \(\lim_{n \to \infty}\) |\((n+1)!^{k+3}\) / ((k + 3)(n + 1))!| / \(n!^{k+3}\)/ ((k + 3)n)!|

= \(\lim_{n \to \infty}\) |\((n+1)!^{k+3}\) / \(n!^{k+3}\) × ((k + 3)n)! / ((k + 3)(n + 1))!|

= \(\lim_{n \to \infty}\) |\(n+1^{k+3}\)/ ((k + 3)(n + 1))|

Step 2: Simplify the ratio

L =\(\lim_{n \to \infty}\)\(|(n + 1)^k / (k + 3)|\)

= ∞ if k ≥ -2 (the limit diverges)

= 0 if k < -2 (the limit converges to 0)

Step 3: Determine the radius of convergence

According to the ratio test, the series converges if L < 1,

and diverges if L > 1.

Since the limit L depends on the value of k,

the radius of convergence R varies accordingly:

If k ≥ -2, the series diverges for all values of x.

If k < -2, the series converges for all values of x.

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Answer:

c = 1.4

Step-by-step explanation:

c = constant rate

424242 ÷ 303030

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

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Step-by-step explanation:

Let's start with sectioning off the little squares on the left that are jutting out of the top and bottom. Both of the squares are C*E, so multiply C*E twice to get the area of those little squares. That comes out to 12 feet.

Next is the main quadrilateral, the big one. You have to cut it off at the point the triangle starts to slope, so the end fo B.

But you also have to get the left part, so you have to add the length of C to the length of B to get the length of the quadrilateral. A encompasses the entire height, but not the part we want, because we already isolated those little squares. To get the height, just subtract the two E parts. The height is 6. The length is 8 feet. Multiply and get 48.

Add that to the previous 12 feet calculated to get 60.

Next, the triangle. The height is A, but only with one E. So subract the other E to get a height of 9. The length is D, but you have to subract B because that is part of the earlier quadrilateral. That makes it 9.

The formula for a triangle is height * length / 2. So, plug in the numbers-- 9 * 9 / 2

81/2

40.5.

Add to the previous 60 we got and that makes 100.5 square feet.

Hope this helped!

Answer:

(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15

3x4 - 2x3 - 4x2-5 is equals to -7

Step-by-step explanation:

1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)

3 x 4 = 12     5 x 2 = 10     12 - 10 = 2     2 - 4 = -2

2 x 3 = 6     6 x 2 = 12     12 + 1 =  13

-2 - 13 = -15

2.)3x4 - 2x3 - 4x2-5 is eaquals to -7

3 x 4 = 12     2 x 3 = 6     12 - 6 = 6     4 x 2 = 8

6 - 8 = -2     -2 - -5 = -7

Those were my answers

Answer: it’s around y

Step-by-step explanation:

if you add then subtract them you get the answer

Total cost  to tile the kitchen =$273.78

Let the width of kitchen = w

The length of the kitchen is nine feet shorter than three times its width, w  = 3 w-9    equation-----1

The perimeter of the kitchen is six times the width = 6 w

= 2(length+width) =6 w    equation----2

from equation 1 and 2

= 2(3 w-9+w) = 6 w

= 6 w-18+2 w = 6 w

   2 w = 18

   w = 9

Length = 3 w-9

length  = 3×9-9

length  = 18

Area of kitchen = length×width

                          = 18×9

                          = 162 square foot

Cost of tiles per square = $1.69

Total cost  to tile the kitchen = Area of kitchen × cost of tiles per square

                                                = 162×$1.69

                                                =$273.78

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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.

According to the question:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

It is given that the cost of the tile = $1.69 a square foot.

Then the total costs of tiles the kitchen is :

The Perimeter of the rectangle =  2(L + b)

The Perimeter of the rectangle =  2(3x - 9 + x)

The Perimeter of the rectangle =  2(4x-9)

We know that, according to the question,

the perimeter of the kitchen is six times the width = perimeter of rectangle

⇒ 6x = 8x - 18

⇒ - 2x = - 18

⇒ x = 18/2

⇒ x = 9

Thus, the width = x = 9 feet

Putting the value of x = 9

then, The length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 feet

Therefore, as we know that,

Area = Length × Width

Area = (18 × 9) feet  

Area =   162 square feet.

Now,

Cost of a Tile = $1.69 per sq. ft.

Thus,

Total Cost of tile = $1.69 × 162

Total Cost of tile =  $273.28

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