What are the 4 properties of a triangle?

Answer:

(x -10)(x-1)

Step-by-step explanation:

Consider the form x^2 + bx + c. Find the pair of integers whose product is c and whose sum is b in this case whose product is 10 and whose sum is -11.

Answer:

4.1 inches

I would appreciate Brainliest, but no worries.

Answer:

6

Step-by-step explanation:

the formula for the sphere's volume is \(\frac{4}{3} *\pi *r^3\)

so when you set that equal to 288\(\pi\), you get 6 as the radius

Answer:

Write the equation of the line fully simplified slope-intercept form 12 11 10 4 `-12-11-10-9 -8 -7 -6 -5 -4 -3 -2 -1, 1 23 4 5 6 7 8 9 10 11 12 -2 -3 -4 -5 -8 -9 -10 -11 -12 98 765 tm2

Step-by-step explanation:

Answer:

I will assume that ABCD is a parallelogram.

1. In a parallelogram, opposite sides are congruent so 3x = 18 which means x = 6.

2. The diagonals of a parallelogram bisect each other so BE is half of BD, therefore, BD = 7.5.

3. Consecutive angles of a parallelogram are supplementary so m∠ADC = 180° - 135° = 45°.

4. Consecutive angles of parallelograms are supplementary so 2x + 10 + 135 = 180 → 2x + 145 = 180 → 2x = 35 → x = 17.5°.

5.  Again, the diagonals bisect each other so -6 + 8v = 9v - 10 → v = 4.

6. DA || BC so ∠DAC and ∠ACB are (congruent) alternate interior angles, therefore, m∠DAC = 37°.

7. The area of a parallelogram is base * height; we know base = 18 and height = 21 u so area = 378 u.

Answer:

8th term would be .9375

10th term would be .234375

Step-by-step explanation:

Answer:

156 miles

Step-by-step explanation:

For every inch, you will have 16 miles

So if you have 9 3/4 inches you can just multiply that with 16

9 3/4*16=156

Our answer is 156 miles

Answer:

(1,5)

Step-by-step explanation:

x = 1

y = 8

If you move down 3 units, it means the y would be lower. This is because y is the vertical value in a pair of coordinates.

8-3 = 5

Answer:

(1, 5)

Step-by-step explanation:

A coordinate defined as point (x, y) is called Cartesian Coordinate. The x-coordinate represents right-left direction while the y-coordinate represents up-down direction.

Its transformation depends on how would you move the coordinate point. An example is if you start with (x, y) point and move to right 3 units, our new position will be at (x + 3, y).

Properties

Suppose we have point (x, y), if we move to right “a” units then the new point will be (x + a, y)

If we move (x, y) to left “a” units, our new point will be (x - a, y)

If we shift (x, y) up “a units”, you’ll get (x, y + a)

If we shift (x, y) down “a units”, we’ll have (x, y - a)

Suppose you start at (1, 8) and you move down 3 units, you can apply the transformation property to find your new position.

Since you move down, this means you are dealing with y-coordinate only so you’ll apply property of (x, y - a)

You’ll have (1, 8 - 3) which equals to (1, 5).

Hence, you’ll end at (1, 5).

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer:

Step-by-step explanation:

The area of one pen will be largest when the area of a ractangle is the largest.

x - one side of rectangular area      (x>0)

y - second side of rectangular area   (y>0)

The farmer has 750 m of fencing, so if we subtract the sides x and fencing used for dividing into pens we receive:

y = 750 - 5x          (750-5x>0  ⇒  x<150)

Area of the rectangle:  A = x•y

A(x) = x•(750 - 5x)             D=(0, 150)

A(x) = -5x² + 750x            

A'(x) = -5•2x + 750•1 = -10x + 750 = -10(x - 75)

if x=75 then A'(x) = 0

so x = 75 is critical point

First Derivative Test:

A'(x) > 0  ⇔ -10(x-75)>0 ⇔  x-75<0  ⇔ x<75

A'(x) < 0  ⇔ -10(x-75)<0 ⇔  x-75>0  ⇔ x>75

A′(x)>0 to the left of x=75 and A′(x)>0 to the right of x=75 then x=75 is a maximum. {rational but also global in the interval (0,150)}

A(75) = 75•(750 - 5•75) = 75•375 = 28125 m²

So the largest possible area of each of the four pens is:  

8125 : 4 = 7031.25 m²

For the inference in part b to be valid, the conditions required are reasonable satisfaction.

To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.

However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.

These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.

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The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

Given that the line passes through the point (-6,8) and has a slope of -5/3.

We are required to find the equation of the line whose description is given.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation or cubic equation. Slope intercept form in the equation be y=mx+c.

We have been given slope be -5/3.

y=mx+c--------------1

Put m=-5/3 in equation 1.

y=-5/3x+c------------2

Put (-6,8) in equation 2.

8=-5/3 *(-6)+c

8=-5*(-2)+c

8=10+c

c=-2

Use the value of c in equation 2.

y=-5/3x-2

Hence the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y=-5/3x-2.

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Answer:

I THINK ITS MC

Step-by-step explanation:

Answer:

choice B- no

Step-by-step explanation:

We have been given that Nate has 100 bananas. He will eat 2 of them every day.

Let x represent number of days. So bananas eaten in x days would be .

Total number of bananas, y, left after x days would be

We know that two proportional quantities are in form , where, k is constant of proportionality.

Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.

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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The basic rigid motions are A) Translation, reflections and rotations

In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.

A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).

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

A turn is also called A) rotation

A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.

Answer: Polynomial

Step-by-step explanation:

The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

The equation, in vertex form, of a absolute value function is expressed as y = a|x – h| + k, where:

From the graph, we know that:

Vertex (h, k) = (3, 5)

Substitute h = 3 and k = 5 into the equation, y = a|x – h| + k:

y = a|x - 3| + 5

A point on the graph is (5, 7). To find the value of a, substitute x = 5 and y = 7 into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

7 - 5 = 2a + 5 - 5 [subtraction property of equality]

2 = 2a

Divide both sides by 2

2/2 = 2a/2 [division property of equality]

Substitute a = 1 into y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the absolute value function]

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In a multiple-choice test that has 5 questions, each with 5 possible answers, the probability of guessing all the questions correctly can be found using the formula:p = (1/5) × (1/5) × (1/5) × (1/5) × (1/5) = 1/3125.

The probability of guessing one question correctly is 1/5 since there are five possible answers. Since there are five questions, we multiply the probability by itself five times.

Therefore, the probability of guessing all the questions correctly is 1/3125, which is approximately 0.00032. This means that the chance of guessing all the questions correctly by random chance is very low.

This indicates that one should have studied for the test rather than relying solely on guesswork.

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Answer:

1/5 + 3/5 = 45 = 0.8

Step-by-step explanation:

Spelled result in words is four fifths.

Toxoplasma gondii is a protozoan parasite that belongs to the phylum Apicomplexa. It is known for its ability to infect warm-blooded animals, including birds and mammals. Although the parasite's natural host is the cat, it can also infect over 200 species of birds and mammals.

This broad host range is due to its ability to exploit various cellular and immune mechanisms across different species. Toxoplasma gondii enters its host through ingestion of contaminated food or water, or by coming into contact with infected animal feces. Once inside the host, the parasite infects and replicates within host cells, forming specialized structures called toxoplasma gondii cysts. These cysts can persist in the host's tissues, particularly in neural and muscular tissues.

While Toxoplasma gondii infections are typically asymptomatic in healthy individuals, they can cause severe complications in individuals or in cases of congenital transmission from infected mothers to their unborn children. Understanding the biology and host range of Toxoplasma gondii is important for studying and managing the risks associated with this widespread parasite.

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Answer:

$110 is what she started with

Step-by-step explanation:

Since Line V and Line W are parallel, they must have the same slope.

This gives us that the equation for Line W looks like: y = 8x + b

We need to find b and we use that point (-1,-2) to find it.  Substitute (-1,-2) into x and y and you can solve for b:

    -2 = 8(-1) + b

    -2 = -8 + b

    -2 + 8 = -8 + 8 + b

     6 = b

Now you have b (AKA the y-intercept).

The final equation is y = 8x + b.

Answer:

1. 3240

2. 324×10^-1

Step-by-step explanation:

1. 32.4×10^<2

32.4×100

3240

Answer:

1.

\(32.4 \times {10}^{2} = 32.4 \times 100 = 3240\)

2. when you multiply any number has decimal point by 10 power specific number [10^N]

if N is negative move with decimal point move to left On the contrary if N is positive you must move to right

Ex :

\(22.4 \times {10}^{ - 1} = 2.24 \\ \\ \)

\(22.4 \times {10}^{} = 224\)

Answer:

x = y / 3.2

Step-by-step explanation:

Given:

y = 3.2x

Where

y = cost for a taxi ride during peak hours (in dollars)

x = cost for a taxi ride during off-peak hours (in dollars)

Solve the equation for x.

y = 3.2x

Divide both sides by 3.2

y / 3.2 = 3.2x / 3.2

y / 3.2 = x

x = y / 3.2

This means,

Cost for a taxi ride during off-peak hours (in dollars) = Cost for a taxi ride during peak hours (in dollars) / 3.2

The area of the kite is \(66 \ cm^2\).

To find the area of a kite, you can use the formula: Area = \(\frac{(diagonal \ 1 \times diagonal \ 2)}{2}\)

In this case, the measurements given are \(6\) cm, \(1\) cm, and \(11\) cm. However, it is unclear which measurements correspond to the diagonals of the kite.

If we assume that the 6 cm and 11 cm measurements are the diagonals, we can calculate the area as follows:

Area = \(\frac{6 \times 11 }{2}\)

= \(66\) cm²

If the \(1\) cm measurement is one of the diagonals, and the other diagonal is unknown, it is not possible to calculate the area accurately without the measurement of the other diagonal. Without knowledge of the lengths of both diagonals of the kite, it is not possible to determine the exact area as it depends on the specific dimensions.

Therefore, the area of the kite is \(66 \ cm^2\).

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To calculate the number of seconds you have been alive if you are currently 34 years old, we can convert years to seconds.

There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Assuming there are 365.25 days in a year (accounting for leap years), we can calculate the number of seconds in a year as follows:

1 year = 365.25 days * 24 hours * 60 minutes * 60 seconds = 31,536,000 seconds.

Now, to find the number of seconds you have been alive, we can multiply the number of years (34) by the number of seconds in a year:

34 years * 31,536,000 seconds/year = 1,072,224,000 seconds.

Therefore, if you are currently 34 years old, you have been alive for approximately 1,072,224,000 seconds.

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Answer:

36

Step-by-step explanation:

I thought I just answered that one.

the first sequence had only numbers that can be divided by 3.

so, what is the first number of the second sequence that can also be divided by 3 ?

36 - it fits both.