Pythagorean Theorem 100 points brainliest

The given linear equation in slope intercept form is y = -1/4(x) - 2/7.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

By making "y" the subject of formula, we have the following:

1/4x + y = -2/7

y = -1/4(x) - 2/7

By comparison, we have the following:

Slope, m = -1/4.

y-intercept, c = -2/7.

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The Inequality which ensure triangle exists is 22 > 4x > 7.

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

.

Substitute the value in the inequality to ensure triangle exists we get 4x > 7 and 22 > 4x.

From (1) and (2) inequality of triangle we get 22 > 4x > 7.

Hence, Inequality which ensure triangle exists is 22 > 4x > 7.

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Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6x units, and AB = 2x + 4 units

The area of the rectangle is 48 in².

The area of the triangle is 24 in².

The area of the triangle is half the area of the rectangle.

To calculate the area of a rectangle, we multiply the length of the rectangle by its width. And to calculate the area of a triangle we multiply the base of the triangle to the height of the triangle and divide by 2.

To calculate the area of the rectangle, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute into equation 1

Also, the area of the triangle is given by the formula below

Where:

Substitute into equation 2

Hence, the area of the triangle is half the area of the rectangle.

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Answer:

22.2

Step-by-step explanation:

Answer:

3.6 can go into 80 22 times.

Step-by-step explanation:

The height of the cylinder, given the volume and the diameter of the base, would be 2, 592.46 feet

The given diameter of the base is 10 inches, so we need to find the radius first. The radius is half the diameter:

Radius (r) = Diameter / 2 = 10 inches / 2 = 5 inches

We also need to convert the radius from inches to feet since the volume is given in cubic feet:

5 inches = 5/12 feet = 0.4167 feet

Volume of a cylinder:

Volume (V) = πr²h

450π = π x (0.4167)^2 x h

450 = (0.4167)^2 x h

h = 450 / (0.4167)^2 = 2, 592.46 feet

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Does this table represent a function: C. No, because one x-value corresponds to two different y-values.

In Mathematics and Geometry, a function can be defined as a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

This ultimately implies that, all functions are used in mathematics to uniquely map an input variable (domain or independent values) to an output variable (range or dependent values).

Based on the table shown above, we can reasonably infer and logically deduce that it does not represent a function because the input values (domain or independent values) are not uniquely mapped to the output values (range or dependent values);

3  → 4

4 → 4

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Answer:

$78

Step-by-step explanation:

60+30% = 78

...................

It is possible that there is right-sided dominance in kissing behavior, based on the reported study. The fact that in a random sample of 127 kissing couples, both people in 79 of the couples tended to lean more to the right than to the left suggests a pattern of right-sided dominance.

However, it is important to note that this study alone is not conclusive evidence of right-sided dominance in kissing behavior.

Further research would be needed to confirm whether there is a consistent pattern of right-sided dominance in kissing behavior across different populations and cultures. It is also possible that other factors, such as social or psychological factors, could influence the direction in which people lean during a kiss. Therefore, it is important to approach this topic with caution and not draw any firm conclusions based on a single study.

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The value of ZC is 16 units for the given circle and its identities.

A straight line that touches the circle at a single point—the point of tangency—is the tangent of a circle. The digression is opposite to the span of the circle at the place of juncture, and it broadens outward from the circle in the two bearings.

In the circle two external secant segments are LE and ZE, according to the external secant theorem;

⇒ LE × DE =  ZE × CE               (Here, ZE = ZC + 2)

⇒ 9 × 4      =  (ZC + 2) × 2

⇒ ZC + 2 = 18

⇒ ZC = 18 - 2

⇒ ZC = 16

Therefore, the value of ZC is 16 units.

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Answer:

Step-by-step explanation:

Hopefully this is right.

Area = (pi)r²

Which is pi times the the radius squared

The radius is 2, so 2² is 4, So we multiply 3.14, which is pi, by 4.

Multiply 3.14 by 4, and the answer is 12.56, the question says round to the nearest tenth, so the final answer will be 12.6

My math teacher back in 7th grade gave us this sentence to help us memorize the equations.

Cherry Pie Delicious (C=(pi)d), Apple Pie Are Too (A=(pi)r²)

Do the same with the other two questions, and the answer for question two will be 3.14, rounded to the nearest tenth will be 3.1

Question three do the same as well, and the answer will be 660.185, rounded will be 660.2

Hope this helps!

We would need 168 square inches of Teflon to completely cover the triangular prism machinery.

To calculate the surface area of a triangular prism, we need to find the area of each face and then add them up. Let's assume that the triangular bases of the prism have base b and height h, and that the length of the prism is l.

The surface area of the triangular bases is (1/2)bh for each base, so the total area is (1/2)bh + (1/2)bh = bh.

The lateral surface area of the prism is the area of the three rectangular faces. Each rectangular face has length l and height h, so the total lateral surface area is 3lh.

Therefore, the total surface area of the triangular prism is

bh + 3lh

To determine how much Teflon is needed to cover the machinery, we need to know the dimensions of the triangular prism. Once we have those dimensions, we can calculate the surface area using the formula above and then use that value to determine the amount of Teflon required.

Let's say the base of the triangular prism is 4 inches and the height is 6 inches, and the length of the prism is 8 inches. Then the surface area of the triangular prism is

bh + 3lh

= (4 in. x 6 in.) + 3(8 in. x 6 in.)

= 24 in² + 144 in²

= 168 in²

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The length of the third side ​of a triangle cannot be 15 cm

The correct answer is an option (b)

We know that the triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

For example if a, b, c represents the side of a triangle then by above theorem a + b ≥ c

Here, the two sides of a triangle measure 4 cm and 8 cm.

Let a = 4 cm and b = 8 cm and c represents the third side of a triangle.

Using triangle inequality theorem,

a + b ≥ c

4 + 8 ≥ c

12 ≥ c

This means that the third side of the triangle must be less than or equal to 12 cm.

Thus, the correct answer is an option (b)

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The complete question is:

A triangle has two sides measuring 4 cm and 8 cm. Which lengths cannot be the length of the third side ​

a) 7 cm

b) 15 cm

c) 10 cm

d) 5 cm

Answer:

3

Step-by-step explanation:

Because same numbers = same y intercept but I'm not sure

Answer:

  1) The image has the same slope, different y-intercept

Step-by-step explanation:

You want the relationship between the line 3x -5y = 4 and its image dilated by a factor of 5/3 centered at the origin.

Dilation about the origin multiplies every coordinate by the dilation factor. Dilation does not change slopes or angles, but it changes lengths by the dilation factor.

When the equation of a line is written in standard form, the dilation of it effectively multiplies the constant by the dilation factor.

The given line has intercepts ...

  ax +by = c

  x-intercept = c/a = 4/3

  y-intercept = c/b = -4/5

If these values are multiplied by the dilation factor 5/3, they become ...

  x-intercept' = (5/3)(4/3) = 20/9 = 2 2/9

  y-intercept' = (5/3)(-4/5) = -4/3 . . . . . note the y-intercept has changed

The slope of the given line can be determined from its intercepts:

  m = (-y intercept)/(x intercept) = -(-4/5)/(4/3) = 3/5

Since both of these intercepts are multiplied by the same dilation factor, their ratio remains unchanged. The slope of the dilated line is the same.

Effectively, the dilated line's equation is ...

  3x -5y = 4(5/3)

  3x -5y = 20/3

__

Additional comment

The original (dashed) line and its dilated image are shown in the attachment.

To calculate a derivative using implicit differentiation, follow these steps:
1. Write down the equation:

2. Differentiate both sides with respect to x:

3. Solve for dy/dx or y':

4. Simplify the result:

Write down the equation:

Start by writing down the equation involving both variables x and y, where y is an implicit function of x.
Differentiate both sides with respect to x: Apply the chain rule, product rule, or quotient rule, as needed, while differentiating both sides of the equation with respect to x.

Remember that when differentiating any term involving y, you'll also need to multiply by the derivative of y with respect to x, denoted as dy/dx or y'.
Solve for dy/dx or y': After differentiating both sides, you will have an equation involving dy/dx or y'.

Solve for this term to find the derivative.
Simplify the result: Simplify your answer as much as possible, if needed.
Remember to use implicit differentiation when the equation is not easily solved for y in terms of x.

It's a powerful technique that helps find derivatives in situations where explicit differentiation isn't feasible.

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Answer:

I believe it's 148.

Step-by-step explanation:

You must do L x W x H to find the volume of a rectangular prism or cube.

Identify the predictor and response variables, then create a scatterplot in Minitab. Characterize the association between the variables as linear or nonlinear and negative, none, or positive.

In exploratory data analysis, the first step is to identify the research question and the two variables of interest. The predictor variable (also known as the explanatory variable or independent variable) is the one that is used to explain or predict the outcome of the response variable (also known as the dependent variable).

After identifying the two variables, one can use software such as Minitab to create a scatterplot of the data. The scatterplot helps to visualize the relationship between the two variables.

To characterize the association between the two variables, we would first determine if the relationship appears to be linear or nonlinear. If the relationship is roughly linear, we would then determine if it is negative (meaning that as one variable increases, the other tends to decrease), positive (meaning that as one variable increases, the other tends to increase), or none (meaning that there is no clear trend).

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The only congruence theorem that cannot be used to prove these triangles to be congruent is option B, AAS (Angle-Angle-Side).

The SAS (Side-Angle-Side), SSS (Side-Side-Side), and ASA (Angle-Side-Angle) congruence theorems all involve matching corresponding sides and angles of two triangles. However, AAS only matches two angles and a non-included side, which is not enough to guarantee congruence in all cases.

In fact, the AAS congruence theorem only works if the given non-included side is between the two given angles, forming a "triangle sandwich" with the two given angles as the bread and the non-included side as the filling.

If the non-included side is not between the two given angles, then it is possible to have two non-congruent triangles with the same angle measures, but different side lengths.

Therefore, the AAS congruence theorem cannot be used to prove all cases of triangle congruence, making it the only option that cannot be used to prove these triangles to be congruent

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Answer: x=4

Step-by-step explanation:

Isolate x using opposite operations.

2x + 3 = 11

2x = 8

x = 4

Answer:

4

Step-by-step explanation:

subract 3 from 11

2x=8

divide by 2

x=4

Answer:

68 3/4 yds

Step-by-step explanation:

trust me :)

Answer:

see below

Step-by-step explanation:

area of triangle formula  = 1/2 base * height

so 1/2*6*22 =66

not sure why there's no choice of 66

Answer:

To write a possible quadratic inequality, we first need to determine which quadratic function has roots at x = -0.5 and x = 1.5.

We know that the solution to the quadratic inequality is x < -0.5 or x > 1.5, which means that the parabola associated with our quadratic function should not intersect the x-axis between x = -0.5 and x = 1.5.

One quadratic function with roots at x = -0.5 and x = 1.5 is:

(x + 0.5)(x - 1.5) ≤ 0

To see why this is the case, we can use a graphing calculator to graph the quadratic function y = (x + 0.5)(x - 1.5) and observe that the function is negative (i.e., has a y-value less than zero) when x is less than -0.5 or greater than 1.5.

Alternatively, we can use the fact that the product of two factors is less than or equal to zero if and only if one factor is positive and the other is negative.

Since (x + 0.5) is positive for x > -0.5 and negative for x < -0.5, and (x - 1.5) is positive for x > 1.5 and negative for x < 1.5, the inequality (x + 0.5)(x - 1.5) ≤ 0 is true for x < -0.5 or x > 1.5, but false for -0.5 < x < 1.5.

Therefore, a possible quadratic inequality that satisfies the given set of values for x is:

(x + 0.5)(x - 1.5) ≤ 0

Answer:

1Step-by-step explanation:

If "cow" means that number is correct in value but in the wrong position, then the three-digit secret number is 714.

A "cow" means a digit is "correct in value" but in the "wrong position".

A "bull" means a digit is both "correct in value" and in the "correct position".

⇒ For the first guess (751),

There is 1 cow and 1 bull, which means that one digit is "correct in value" and in the "correct position" (1 bull), and another digit is "correct in value" but in the "wrong position" (1 cow).

⇒ For the second-guess (574),

There is 1 cow and 1 bull, which indicates that "one-digit" is "correct in value" and in the "correct position", and "another-digit" is "correct in value" but in the "wrong-position".

⇒ For the third guess (317),

There is 1 cow and 1 bull, which means that "one digit" is "correct in value" and in the "correct position", and "another digit" is "correct in value" but in the "wrong position".

So, Based on these clues, we can say that the correct secret number has 1 cow and 1 bull.

This means that two digits in the secret number are correct in value, with one digit in the correct position (1 bull), and another digit in the wrong position (1 cow). So, the secret number is likely 714, because it satisfies these conditions.

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The given question is incomplete, the complete question is

Deduce the 3-digit secret number.

[A cow means a number is correct in value but in the wrong position. A bull indicates that a number is both correct in value and in the correct position. i.e. 2 cows and 1 bull would indicate that all three numbers were correct but two were in the wrong positions. ]

Guess     Secret Number   Cows    Bulls

 1st                   751                  1            1

 2nd                 574                 1            1

 3rd                  317                  1            1

The area of the given circle is  1.76625 square feet.

Remember that the area of a circle of radius R is given by the formula:

A = pi*R²

Where pi = 3.14

Here we know the diameter (2 times the radius) of the circle, which is 1.5ft, then the radius is:

R = 1.5ft/2 = 0.75ft

Then the area of the circle is:

A = 3.14*(0.75ft)²

A = 1.76625 ft²

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The number of feet per second that the remote control car travels is: 5 ft/s

The formula to find the speed from distance and time is:

Speed = Distance/time

Now, we are given:

Time: t = 3/40 seconds

Distance = 3/8 ft

Thus:

Speed = (3/8)/(3/40)

Speed = (3/8) * (40/3)

Speed = 5 ft/s

Thus, that is the speed that the remote control car travels

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False. While all relationships should be valued and respected, it's unrealistic to say that they all have equal weight. Some relationships may be closer and more intimate than others, or may require more time and energy to maintain.

Additionally, some relationships may have greater consequences or impact on our lives than others. It's important to prioritize and nurture our relationships based on their individual significance and value to us.
In the context of relationships, the term "weight" refers to the importance or influence of a particular relationship. Not all relationships have equal weight because the significance of each relationship varies based on factors such as trust, communication, shared experiences, and emotional connections.

Some relationships are naturally stronger and more influential than others due to these factors, making them more valuable and impactful in a person's life. In contrast, weaker relationships may not have the same level of trust, connection, or influence, making them less important overall. It is essential to recognize and nurture the stronger relationships in one's life to maintain a healthy support system and overall well-being.

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The equation of the line parallel to PQ that passes through the point (6, -1) is y = (-5/6)x + 4.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given that: the coordinates of P are (-3, 8) and the coordinates of Q are (9, -2).

We can find the slope of line PQ.

m = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of points P and Q, respectively.

m = (-2 - 8) / (9 - (-3))

m = -10 / 12

m = -5/6

Since we want the equation of a line parallel to PQ, it will have the same slope.

Hence, the equation of the line can be written as:

y - y1 = m(x - x1)

where (x1, y1) is the point (6, -1) and m is the slope we found earlier.

Plugging in the values, we get:

y - (-1) = (-5/6)(x - 6)

y + 1 = (-5/6)x + 5

y = (-5/6)x + 5 - 1

y = (-5/6)x + 4

Therefore, the equation of the parallel line to PQ is y = (-5/6)x + 4.

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Answer:

• f(x) is stretched away from the x-axis by a factor of 2 and is reflected over the x-axis.

Step-by-step explanation:

The function f(x) = 2sin(2x) has an amplitude of 2 and a period of π/2. When we apply the rule g(w) = - f(x), we are reflecting the graph of f(x) over the x-axis and then taking its opposite. This means that the amplitude of g(w) will still be 2, but the graph will be reflected and stretched away from the x-axis by a factor of 2.

I hope it helps you