Identify two equations for the line that passes through (2,-1) and (8,4)

Answer:

Pythagorean Theorom: a^2+b^2=c^2

Take the largest number of each as C (hypotenuse)

3,4,5

(3)^2+(4)^2= (5)^2

25=25

Therefore it is a Pythagorean Triple.

8,15,17

(8)^2+(15)^2=(17)^2

289=289

Therefore it is a Pythagorean Triple.

Answer:

0.07

Step-by-step explanation:

its gonna be sin 7/10 which is approx. 0.06569 rounded to the nearest tenth is 0.07

Answer:

So judging by the fact that this is a right triangle clearly we know that we have 90 degrees. X is less than this and doesn't seem equal to the top angle area which looks to be 50 or so degrees I believe side x is 30 or 35 degrees. Sorry if I'm wrong! -Your friend, Bill Cipher

Step-by-step explanation: Have a great V-day <3

So, the value of y should be approximately 50.67 in order for f(101, y) to equal 230

To find the value of y for which f(101, y) = 230, we can use the given information and apply the total differential approximation.

The total differential of a function f(x, y) is given by:

\(df ≈ ∂f/∂x * dx + ∂f/∂y * dy\)

We are given f(100, 50) = 230, fx(100, 50) = 2, and fy(100, 50) = -3. We want to find the value of y when x = 101, so dx = 101 - 100 = 1. We also know that f(101, y) = 230, so df = 230 - 230 = 0.

Now, using the total differential approximation:

0 ≈ 2 * 1 + (-3) * dy

0 ≈ 2 - 3 * dy

Rearranging to solve for dy:

3 * dy = 2

dy = 2 / 3

Now, we need to find the value of y using the change in y (dy):

\(y = 50 + dy\)

\(y = 50 + (2 / 3)\)

\(y ≈ 50.67\)

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In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Step-by-step explanation:

We know that, triangle area is L = 1/2bh

L = 1/2(76)(45)

L = (38)(45)

L = 1710 cm²

Subject : Mathematics

Level : ES

Chapter : 2D Geometry

The value of SSY (the sum of squares Y) is 800.

SSY - the sum of squares Y can be partitioned into two parts:

SSY' -  the sum of squares predicted

SSE - the sum of squares error.

The sum of squares predicted is the sum of the squared deviations of the predicted scores from the mean predicted score.

A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. The equation of the regression line is used to predict (or estimate) the value of the response variable from a given value of the explanatory variable.

Here, we have given that:

A sample of X and Y scores is taken, and a regression on line is used to predict Y from X.

if SSY¹ = 300

SSE = 500

n = 50

we know,

SSY = SSY¹ + SSE

SSY = 500 + 300

SSY = 800

Hence,

The value of SSY (the sum of squares Y) is 800.

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The value of SSY (the sum of squares Y) is 800 for the given regression line.

We know that:

SSY - the sum of squares Y - which can be partitioned into two parts:

1) SSY' -  the sum of squares predicted

2) SSE - the sum of squares error.

The sum of squares predicted means that:

The sum of  squared deviations of the predicted scores that from the mean predicted score.

We have:

A sample of X and Y scores, a regression line to predict Y from X.

SSY¹ = 300

SSE = 500

n = 50

Now, we know that:

SSY = SSY¹ + SSE

SSY = 500 + 300

SSY = 800

Therefore, the value of SSY (the sum of squares Y) is 800.

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1) The area of trapezoid is,

⇒ A = 40.5 cm²

2) The area of triangle is,

⇒ A = 16.69 cm²

We have to given that;

First figure shows a trapezoid

And, Second shows triangle.

Since, We know that;

Area of Trapezoid is,

A = (6 + 12) x 4.5 / 2

A = 18 x 4.5 / 2

A = 40.5 cm²

And, For second figure,

Area of triangle is,

A = 1/2 × Base × Height

A = 1/2 × 7.3 × 4.6

A = 16.69 cm²

Therefore, We get;

1) The area of trapezoid is,

⇒ A = 40.5 cm²

2) The area of triangle is,

⇒ A = 16.69 cm²

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Answer:

a) 168 mins

b) 3 tyres

Step-by-step explanation:

a) 56 mins= 1 van

168 mins= 3 vans

b) 56/4= 14

42/14=3

3 tyres

Answer:

a) 168 minutes

b) 3 tyres

Step-by-step explanation:

a) 56:4

   x  :12

   4x=672

   x=672/4

      =168

b) 56:4

   42:x

   168=56x

   x=168/56

   x=3

Answer:

  8/15

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent of an angle is ...

  Tan = Opposite/Adjacent

The side opposite angle A is BC = 8. The side adjacent to angle A is AC = 15. So, the tangent of angle A is ...

  tan(A) = 8/15

The recursive formula for an, the nth term of the sequence is a(n) = a(n - 1) * 2 where a(1) = -1

From the question, we have the following parameters that can be used in our computation:

-1, -3, -9, -3³ ...

The above definitions imply that we simply multiply 3 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a(n) = a(n - 1) * 3

Where

a(1) = -1

Hence, the sequence is a(n) = a(n - 1) * 2 where a(1) = -1

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Answer:

Please mark as brainliest;)

Answer:

translated 5 units to the right

Step-by-step explanation:

The  end behavior of function is positive non decreasing.

A function is a relationship between a set of inputs and a set of allowable outputs in mathematics. The feature of functions is that each input corresponds to exactly one output. For example, in the function f(x)=x², any x input will result in only one output.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.

Given function f(x) = 5/4x²

as the function is square of x hence we can clearly see function is positive

Hence end behavior of function is positive non decreasing.

The complete question is : What is the end behavior of the function f(x)=5/4x2?

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The expression to simplify is

We will simplify by combining like terms.

• There are FIVE x's and TWENTY-SIX more x's. We add.

5x + 26x = 31 x

• There is 1 constant, NEGATIVE THIRTEEN. No combining required so leave it as is.

•

• There is 1 term with y, which is SEVEN y. No combining required, so we leave it as is.

The final expression is

Answer:

The area of LQM is \(48cm^2\)

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

\(Area = \frac{1}{2} * PQ * PN\)

Substitute 8 for Area

\(8 = \frac{1}{2} * PQ * PN\)

\(PQ * PN = 16\)

The area of LPQ is calculated as:

\(Area = \frac{1}{2} * PQ * LP\)

Substitute 16 for Area

\(16= \frac{1}{2} * PQ * LP\)

From the attachment:

\(PN + LP =LN\)

Make LP the subject

\(LP = LN -PN\)

So:

\(16= \frac{1}{2} * PQ * (LN -PN)\)

We have:

\(16= \frac{1}{2} * PQ * (LN -PN)\) and \(PQ * PN = 16\)

Equate both expressions:

\(\frac{1}{2} * PQ *(LN - PN) = PQ * PN\)

Divide both sides by PQ

\(\frac{1}{2} (LN - PN) = PN\)

Multiply both sides by 2

\(LN - PN = 2PN\)

\(LN= 3PN\)

Since PNQ is similar to LNM, the following equivalent ratios exist:

\(\frac{LM}{PQ} = \frac{LN}{PN}\)

Substitute \(LN= 3PN\)

\(\frac{LM}{PQ} = \frac{3PN}{PN}\)

\(\frac{LM}{PQ} = 3\)

\(LM = 3PQ\)

Area of LQM is:

\(Area = \frac{1}{2} * LM * LP\)

This gives:

\(Area = \frac{1}{2} * 3PQ * LP\)

\(Area = 3 *\frac{1}{2} *PQ * LP\)

Recall that:

\(16= \frac{1}{2} * PQ * LP\)

So:

\(Area = 3 *16\)

\(Area = 48cm^2\)

Answer:

41

Step-by-step explanation:

7 × 9 - 34 + 24 ÷ 2

63 - 34 + 12

41

Answer:

D i think sorry if it's wrong

Step-by-step explanation:

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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Answer:

62.8 kg or 128.43 lbs

Step-by-step explanation:

if 18 percent of all the chocolate bars is is cashews at 11.3 kgs, the chocolate makes up the other 82 percent so theres a total of 62.78 kgs of candy total and you can use the eqaution for 1kg equal 2.205 lbs to find a total of 138.43 lbs of total chocolate bars

None of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

To understand why none of the graphs with the given degree sequence (4,4,4,4,4,4,2) are bipartite, let's first define the key terms:

1. Degree: The degree of a vertex in a graph is the number of edges incident to it.
2. Sequence: A degree sequence is a list of the degrees of each vertex in a graph.
3. Bipartite: A graph is bipartite if its vertices can be partitioned into two disjoint sets such that no two vertices within the same set are adjacent.

Now, let's analyze the given degree sequence (4,4,4,4,4,4,2):

1. There are 7 vertices in the graph.
2. The sum of the degrees is 4+4+4+4+4+4+2 = 26, which is even (a necessary condition for a graph to be bipartite).

For a graph to be bipartite, it must satisfy the Handshaking Lemma. The Handshaking Lemma states that the sum of the degrees of all vertices in a set should be equal to the sum of the degrees of all vertices in the other set. In other words, the sum of the degrees of all vertices in one set is equal to the number of edges crossing between the two sets.

Let's assume we can divide the vertices into two disjoint sets, A and B. Since each vertex with degree 4 is adjacent to 4 vertices, it must be connected to vertices in the opposite set. However, we have six vertices with degree 4, so the total sum of degrees of vertices in set A would be 6 * 4 = 24, while the vertex with degree 2 in set B would only account for 2. This contradicts the Handshaking Lemma, as 24 ≠ 2.

Hence, none of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

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Answer:

m> 55 (you only flip the direction of the sign when you divide by a negative number)

Step-by-step explanation:

Answer:

m > 55

Step-by-step explanation:

simplify both sides of the inequality

m - 19 > 36

Add 19 to both sides

36+19

m>55

Hope this helps :D

Answer:

(2,3)

Step-by-step explanation:

Hey there!

when it ask for the solution of a systems of equation it's essentially asking for where the two lines cross

the two lines cross at (2,3) therefore 2,3 is your answer

The probability that a student has a brother or a sister is: 92%

Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. Conditional probability is calculated by multiplying the probability of the preceding event by the updated probability of the succeeding, or conditional, event.

We are given the parameters as:

Percentage that have a brother = 75%

Percentage that have a sister = 82%

Percentage that have a brother and a sister = 65%

Thus:

P(Brother or Sister) = 0.75 + 0.82 - 0.65

P(Brother or Sister) = 0.92 = 92%

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Answer:

Z = -3

Step-by-step explanation:

3z - (- 10) = 1

3z + 10 - 10 = 1 - 10

3z = - 9

3z/3 = -9/3

z = - 3

Answer:

z = -3

Step-by-step explanation:

Given problem,

→ 3z -(-10) = 1

Let's solve the problem,

→ 3z -(-10) = 1

→ 3z + 10 = 1

→ 3z = 1 - 10

→ z = -9/3

→ [ z = -3 ]

Hence, value of z is -3.

Here is a diagram of the points described:

(2,3)      (2, -3)

  |             |

  |             |

  c----------d

Based on the given points, let's consider the following:

Point A: A (2, 3)

Point B: B (2, -3)

Points A and B have the same x-coordinate, indicating that they lie on a vertical line. The y-coordinate of A is greater than the y-coordinate of B, suggesting that A is located above B on the y-axis.

Now, you mentioned that points C and D are collinear. Collinear points lie on the same line. Assuming that points C and D lie on the same vertical line as A and B, but at different positions.

The points A (2,3) and B (2, -3) are collinear, but the points A, B, C, D, and F are not. This is because the points A and B have the same x-coordinate, so they lie on the same vertical line. The points C and D also have the same x-coordinate, so they lie on the same vertical line. However, the point F does not have the same x-coordinate as any of the other points, so it does not lie on the same vertical line as any of them.

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The function of the given data would be F(x) = y = 4x.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

X(input)    Y ( output)

0                0

1                  4

2                  8

3                 12

We can see that

When the input is zero the output is also zero.

And when the input is some real number the output gives the multiple of 4.

Thus, The function could be

f(x) = 4x

The given function is represented by x as the independent variable.

Therefore, The function of the given data would be F(x) = y = 4x.

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