Could you help me???? Please​

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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NM=MP

\(\\ \sf\longmapsto <N=<P\)

\(\\ \sf\longmapsto 6y=8y-16\)

\(\\ \sf\longmapsto 8y-6y=16\)

\(\\ \sf\longmapsto 2y=16\)

\(\\ \sf\longmapsto y=8\)

Done

Answer:

y = 14°

Step-by-step explanation:

Answer in the picture.

Answer:

19

Step-by-step explanation:

The answer is 19 because if you draw a number line and count from -3 to 16 you will get 19.

You can also add 3+16 because it takes 3 steps to go back from -3 to 0, and then 16 steps forward to go to 16.

Hope this helps!

The expression for number of magnets=2n+6 where n=number of years and in 22 years she will have 50 magnets.

what are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

As given

Magnets she has=6

Plans to collect =2/year

and n=no. of years

so, the expression will be for

number of magnets=2n+6

Now for number of magnets to become 50, n will be

50=2n+6

n=44/2

n=22

Hence,

        The expression for number of magnets=2n+6 and in 22 years she will have 50 magnets

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Answer:

check the graph below

Step-by-step explanation:

Dilation involves changing the size and position of a point

The image of the dilation is (4,-3)

From the figure, the coordinates of point D and point P are:

\(D = (13,2)\)

\(P = (1,11)\)

The scale factor of dilation is given as:

\(k = \frac{1}{3}\)

The rule of dilation about point P is then calculated as:

\((x,y) \to k(x_D - x_P, y_D - y_P)\)

So, we have:

\((x,y) \to \frac 13 \times (13 - 1, 2- 11)\)

Simplify

\((x,y) \to \frac 13 \times (12, -9)\)

Expand

\((x,y) \to (\frac 13 \times 12, -\frac 13 \times9)\)

\((x,y) \to (4, -3 )\)

This means that, the image of the dilation is (4,-3)

See attachment for the image of the dilation

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When the population means are different, we expect to see a large t-statistic. This is because the t-statistic measures the difference between the sample mean and the population means, adjusted for the sample size and standard deviation.

If the population means are farther apart, the difference between the sample mean and the population means will be larger, resulting in a larger t-statistic. This is also reflected in the formula for the t-statistic, where the numerator is the difference between the sample mean and the population means, and the denominator is a measure of the variability of the sample. Therefore, a larger difference in population means will result in a larger t-statistic.
You asked if you should expect a large or small t-statistic if the population means are different. If the population means are different, you can expect a large t-statistic. This is because the t-statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the sample mean. When the population means are different, the difference between the sample mean and the hypothesized population mean will be larger, resulting in a larger t-statistic. This large t-statistic indicates that the observed difference is unlikely to have occurred by chance alone, suggesting that there is a significant difference between the two population means.

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Answer: Do the exponent

Step-by-step explanation: The reason for my answer is because of PEMDAS which stands for

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

Really hope that this helps you out

Answer:

Its A

Step-by-step explanation:

The probability is= 1/665,280 in fraction in simplest form.

The idea of probability describes the possibility of an event happening.

We frequently have to make forecasts about the future in real life.

We may or may not be aware of the outcome of an event.

When this happens, we declare that there is a chance the event will take place.

In summary, probability has a wide range of fantastic applications in entertainment, business, and this recently expanding branch of artificial intelligence.

The probability formula can be used to determine the likelihood of an event by only dividing the favorable number of possibilities by the entire number of p-ossible outcomes.

According to our question-

P(n, r) = n! / (n - r)!

P(12, 7) = 12! / (12 - 7)!

12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

5! = 5 × 4 × 3 × 2 × 1

1/665,280

Hence,  The probability is= 1/665,280 in fraction in simplest form.

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Answer: 207.1875

Step-by-step explanation:

side length a = 19.5 cm

side length b = 21.25 cm

diagonal p = q = 28.841159824112 cm

perimeter P = 81.5 cm

area of rectangle A = 414.375 cm2

area of rectangle divided into a triangle = 207.1875

hope this helps

Giselle worked as a carpenter for 12 hours and as a blacksmith for 18 hours last week.

Giselle works as both a carpenter and a blacksmith. She earns $20 per hour as a carpenter and $25 per hour as a blacksmith.

Last week, she worked a total of 30 hours and earned $690.

To determine how long she worked as a carpenter and as a blacksmith, we can set up a system of equations.

Let C represent the hours Giselle worked as a carpenter and B represent the hours she worked as a blacksmith.

The equations can be written as:

C + B = 30 (total hours worked)

20C + 25B = 690 (total earnings)

We can solve this system of equations by first isolating C in the first equation:

C = 30 - B

Now, substitute this expression for C in the second equation:

20(30 - B) + 25B = 690

Simplify and solve for B:

600 - 20B + 25B = 690

5B = 90

B = 18

Now, substitute the value of B back into the equation for C: C = 30 - 18 C = 12

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Answer:

Alexis: 2.5x

Gary: x

James: x + 18

Total: (2.5x) + (x) + (x + 18)

              = 4.5x + 18

Bonus:

4.5x + 18 = 1206

4.5x = 1188

    x = 264

Alexis: 2.5(264) = 660

Gary: 264

James: 264 + 18 = 282

Answer = No,It can be either rational or irrational.

________________________________

Prroof —

4 ÷ √8 = √2 { Which is an irrational number }

________________________________

Now, Here comes a twist,

We know that — 0 is a rational number.

And, 0 ÷ √56666 = 0 ________________________________

Note—

But, √56666 ÷ 0 = Error ( Lol )

________________________________

The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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Answer:

This would lead the student to the incorrect solution of x = 4 instead of the correct solution of x = 2.

Step-by-step explanation:

he equation 4x + 8 = 16 can be solved using algebra as follows:

Subtract 8 from both sides of the equation:

4x + 8 - 8 = 16 - 8

4x = 8

Divide both sides of the equation by 4:

4x/4 = 8/4

x = 2

Therefore, the correct solution to the equation is x = 2.

If the student incorrectly says the solution is 6, then they might have made the mistake of forgetting to subtract 8 from both sides of the equation before dividing by 4. This would result in the following incorrect work:

Divide both sides of the equation by 4:

4x/4 = 16/4

x = 4

Add 2 to both sides of the equation:

x + 2 = 4 + 2

x + 2 = 6

x = 6 - 2

This would lead the student to the incorrect solution of x = 4 instead of the correct solution of x = 2.

Answer:

h = 9 yds,       assuming his treehouse is a rectangular shape. 9 yds seems pretty high.

Step-by-step explanation:

area = bh

108 yd³ = 12 yd² x h

h = 108/12 = 9 yds

 The prism is 9 yards tall

What is the Volume of Rectangular Prism?

The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.

Given: base of the treehouse= 12 yards²

volume of the treehouse = 108 yards³

To find : how tall is the prism ( height of the treehouse) = ?

Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,

where "l" stands for base length

"w" for base width.

"h" refers to the prism's height.

Steps for calculating the height

Step 1: The foundation area of 12 square yards has previously been specified.

Step 2: The prism's volume is 108 cubic yards

Step 3: The given rectangular prism's volume = base area x height

=> 108 cubic yards = 12 x h

=> 108/ 12 = h

=> h = 9 yards

Since , the prism is 9 yards tall

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Answer:

Step-by-step explanation:

10x+55=y

Answer:

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

The size of the largest angle in a triangle is 3 times the size of the smallest angle

The third angle is 10° more than the smallest angle

The size of the third angle is x

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Answer:

Step-by-step explanation:

dava kaAjbhm

Answer:

-86

Step-by-step explanation:

it can loss is weight

Answer:

Since x (independent) is time and y (dependent) is temperature;

F(0)  =50 means; at the beginning which is 0 minutes, the temperature is 50F

f(120)>f(60) means the temperature after 120 min is bigger than the temperate after 60 min.

f(360) = f(345) means the temperature after 360 min and 345 min are the same  

f(390) < f(360) means the temperate after 390 min is less than the temperature after 360 min  

Step-by-step explanation:

Answer:

Since x (independent) is time and y (dependent) is temperature;

F(0)  =50 means; at the beginning which is 0 minutes, the temperature is 50F

f(120)>f(60) means the temperature after 120 min is bigger than the temperate after 60 min.

f(360) = f(345) means the temperature after 360 min and 345 min are the same  

f(390) < f(360) means the temperate after 390 min is less than the temperature after 360 min  

Step-by-step explanation:

Answer:

2(x + (x+6)) = 28

Step-by-step explanation:

2x+2x+12 = 28

4x + 12 = 28

4x=16

x=4

width = 4

length = 10

Answer:

d. 2(x + 6) + 2x = 28

Step-by-step explanation:

Answer:

its in order starting from the lowest so the answer would be:

D B E C A

Answer:

3. 261 ft³

Step-by-step explanation:

Volume of the figure = ½(volume of cylinder) + volume of triangular prism)

✔️Volume of cylinder = πr²h

r = 3 ft

h = 10 ft

Volume of cylinder = π*3²*10 = 282.74 ft³

✔️Volume of right triangular prism = ½*b*h*l

b = 3*2 = 6 ft

h = 4 ft

l = 10 ft

Volume of triangular prism = ½*6*4*10 = 120 ft³

✔️Plug in the values into the equation:

Volume of the figure = ½(282.74) + 120 = 261.37 ≈ 261 ft³

Answer:

30 min

Step-by-step explanation:

1 butcher can prepare 1 cows in 2 hours

2 can prepare twice as fast 2/2=1 hour

4 can prepare 4 times as fast 2 hours/4=30 min

Check work

30 min*4=120 min=2 hours

The least number of arc measures needed to determine the measures of each angle in the inscribed quadrilateral is 2.

To determine the measures of each angle in the quadrilateral, we need to find the central angles of the arcs that intersect the quadrilateral's vertices. Since the quadrilateral is not a rectangle, it is not a cyclic quadrilateral, which means that its opposite angles do not add up to 180 degrees.

Therefore, we need to use the fact that the sum of the measures of the opposite angles in an inscribed quadrilateral is 360 degrees. Let the angles of the quadrilateral be A, B, C, and D, with opposite angles A and C, and B and D. We can find the measure of arc AC by drawing a chord connecting the endpoints of AC and finding the central angle that intercepts it. Similarly, we can find the measure of arc BD.

Now, we can use the fact that the sum of the central angles that intercept arcs AC and BD is equal to 360 degrees. Let these angles be x and y, respectively. Then, we have:

x + y = 360

We can solve for one of the variables, say y, in terms of the other:

y = 360 - x

Substituting this into the equation for arc BD, we have:

2x + 2(360 - x) = arc BD

Simplifying this equation, we get:

arc BD = 720 - 2x

Now, we can use the fact that the sum of the measures of angles A and C is equal to the measure of arc AC, and the sum of the measures of angles B and D is equal to the measure of arc BD. Therefore, we have:

A + C = arc AC
B + D = arc BD = 720 - 2x

We need to find the least number of arc measures needed to determine the measures of A, B, C, and D. Since we have two equations and two variables (x and A), we can solve for both variables. Then, we can use the equations for B and D to find their measures.

Solving for A in terms of x, we have:

A = arc AC - C
A = 360 - x - C

Substituting this into the equation for B + D, we have:

(360 - x - C) + B + D = 720 - 2x

Simplifying this equation, we get:

B + D = 360 + x - C

Now, we have three equations and three variables (x, A, and C). We can solve for each variable in terms of x, and then use the equation for B + D to find their measures.

Therefore, the least number of arc measures needed to determine the measures of each angle in the quadrilateral is two: arc AC and arc BD.

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