the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner

Answer:

34, 35, 36

Step-by-step explanation:

1st number = x

2nd number = x+1

3rd number = x+2

So the equation would be:

x+2(x+1)+(x+2)-7=133

x+2x+2+x+2-7=133

4x-3=133

4x=136

x=34

      Three consecutive numbers justifying the condition given in the statement will be 34, 35, 36.

Let three consecutive number are,

n, (n + 1), (n + 2)

First statement given,

" The sum of first number, twice the second number"

Expression for the statement → [n + 2(n + 1)]

Second statement → " 7 less than the third number"

Expression for the statement → (n + 2) - 7

Combine the expressions,

"The sum of first number, twice the second number and 7 less than the third number is 133"

Form the equation and simplify,

n + 2(n + 1) + (n + 2) - 7 = 133

n + 2n + 2 + n + 2 - 7 = 133

(n + 2n + n) + (2 + 2 - 7) = 133

4n - 3 = 144

4n = 136

n = 34

         Therefore, the numbers are,

                            1st number → n = 34

                            2nd number → (n + 1) = 35

                            3rd number → (n + 2) = 36

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Answer:

1 = Input G

2 = Input F

3 = Input H

Step-by-step explanation:

Answer:= -12+4x

Step-by-step explanation:

Distribute -4 through the parentheses

8+4x=20

Calculate the difference

-12+4x

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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Answer:

3x-2y

Step-by-step explanation:

log10^(3x-2y)

We know the base is base 10 since it is not written

log10 10^(3x-2y)

The log10 10 cancels

3x-2y

Answer:

\(\huge\boxed{\log10^{3x-2y}=3x-2y}\)

Step-by-step explanation:

\(\text{Use}\\\\(1)\log x=\log_{10}x\qquad(x>0)\\\\(2)\log_ab^n=n\log_ab\qquad(a>0;\ a\neq1;\ b>0)\\\\(3)\log_aa=1\qquad(a>0;\ a\neq1)\\\\\log10^{3x-2y}=\underbrace{(3x-2y)\log10}_{(2)}=\underbrace{(3x-2y)\log_{10}10}_{(1)}=\underbrace{(3x-2y)(1)}_{(3)}=3x-2y\)

Hey there ☺️

- 2.6 is the answer.

Step-by-step explanation:

To get the inverse (opposite), try multiplying by (-1)

2.6 x (-1)

→ -2.6

By Benjemin

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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The equation of line B is y = -3x + 8.

To find the equation of line B, which is parallel to line A and passes through point P, we need to determine the slope of line A and use it to write the equation of line B.

Looking at line A, we can observe that it has a slope of -3. This is because line A has a rise of -3 (decreasing y-values) for every run of 1 (constant x-values).

Since line B is parallel to line A, it will have the same slope of -3.

Now, we have the slope (-3) and the point P(x, y) through which line B passes. Let's use the point-slope form of the linear equation to write the equation of line B:

y - y1 = m(x - x1)

Substituting the values, we have:

y - (-7) = -3(x - 5)

Simplifying:

y + 7 = -3x + 15

To write the equation in the form y = mx + c, we rearrange the equation:

y = -3x + 15 - 7

y = -3x + 8

Therefore, the equation of line B is y = -3x + 8.

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Answer: 1 decameter

Step-by-step explanation:

Answer:

1 decameter

Step-by-step explanation:

1 decameter is 10 meters or 1000 centimeters

Volume =  

1  πr2h

3

=  

1 ×π×42×7

3

=  117.28612573402 centimeters^3

61

Why my answer is sixty one Because the Triangle ls the same size Of the other sixty one

Answer:

61

Step-by-step explanation:

it's true...........

Answer:

False

Step-by-step explanation:

Verified correct with test results.

To find the number of redheads in a village of 250 people, we need to use the formula:

\(Number of redheads = Total population * Frequency of red hair\)

Number of redheads = 250 * 0.18

Number of redheads = 45

Therefore, there are 45 redheads in the village of 250 people.

To understand how we arrived at this answer, we need to understand what frequency means. Frequency refers to the number of times a particular event occurs within a given population or sample. In this case, the event is having red hair, and the population is the village of 250 people.

The frequency of red hair in the population is given as 0.18, which means that 18% of the population has red hair. To find the number of redheads in the village, we simply multiply the total population (250) by the frequency of red hair (0.18).

This gives us the formula: Number of redheads = Total population * Frequency of red hair

Plugging in the values, we get: Number of redheads = 250 * 0.18 = 45

Therefore, there are 45 redheads in the village of 250 people

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Answer: => means “implies” or “if and then”

p,q,r are statements

Step-by-step explanation:

Answer:

A. 15

Step-by-step explanation:

HI and IJ are both segments in the line HJ so HI and IJ combined equal the total length of HJ. This means we can write an equation using HI and IJ and setting them equal to HJ.

6x + 8 + 2x - 4 = 124

next step is to combine like terms:

8x + 4 = 124

then, subtract 4 from both sides.

8x + 4 = 124

     -4       -4

8x = 120

finally, divide both sides by 8.

8x/8 = 120/8

x = 15

since it is equal to x, 15 is your solution!

The given linear equation has one solution: (-0.6, 1.6). The correct option is the second option  one solution: (-0.6, 1.6)

From the question, we are to determine the number of solutions the given linear equation has

The given system of equations is

y = 2/3x+ 2    ---------- (1)

6x - 4y = -10   ---------- (2)

Substitute equation (1) into equation (2)

6x - 4y = -10

6x - 4(2/3x +2) = -10  

6x - 8/3x -8 = -10

6x - 8/3x  = -10 + 8

10x/3 = -2

10x = -2 × 3

10x = -6

x = -6/10

x = -0.6

Substitute the value of x into equation (1)

y = 2/3(-0.6)+ 2

y = -0.4 + 2

y = 1.6

The solution to the given system of equation is x = -0.6, y = 1.6. That is, (-0.6, 1.6)

Hence, the given linear equation has one solution: (-0.6, 1.6). The correct option is the second option  one solution: (-0.6, 1.6)

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The equation for the graph after the shift would be y = x + 1. The answer is y = x + 1.

What happens when a function is shifted vertically?

Because this transformation involves adding a positive or negative constant to the function, a vertical shift, which moves the graph up or down, is the simplest shift. In other words, regardless of the input, the output result of the function receives the same constant.

The y-value adjusts when a function shifts vertically. While the y-value modifies the shift's magnitude, the x-value remains constant.

We add the value to the y-term if it changes upward. We shall deduct that amount from the y-term if it shifts downward.

The simplest transformation is a vertical shift, which entails moving the graph up or down. This is because this transformation only requires changing the function's sign from positive to negative.

The only variable that alters in vertical shifts of the fundamental linear equation y = mx + b is the b value, or the y-intercept.

The graph shown above is the graph of the parent function y=x after a vertical shift up 1 unit.

Hence, The equation for the graph after the shift would be y = x + 1. The answer is y = x + 1.

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Answer:

Following are the solution to this question:

Step-by-step explanation:

In the query, there is an error. This will find Angle YXZ and the angle YZX.  

The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.

\(\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\\)

\(\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}\)

Answer:

hope this helps

Step-by-step explanation:

2,995,384 - 89

==2,995,295

Answer:

the answer is 2,995,295

The volume of the object is 0.247 cubic units.

To find the volume of the described object, we need to integrate the cross-sectional area perpendicular to the x-axis over the given region.

The cross-sectional area at any given x-value is determined by the difference between the upper and lower functions, squared, since each cross-section is a square.

Let's find the intersection points between the two functions:

\(e^{2.5x}\) = 2.5\(x^{2}\) + 0.1

To solve this equation, we'll use numerical methods. In this case, we'll use the bisection method to approximate the intersection points.

First, we'll rewrite the equation as:

2.5\(x^{2}\) - \(e^{2.5x}\) + 0.1 = 0

Next, we'll define a function f(x) = 2.5\(x^{2}\) - \(e^{2.5x}\) + 0.1 and find the values of x where f(x) = 0.

Using numerical methods, we find that the approximate values of the intersection points are:

x ≈ -0.2 and x ≈ 0.4

Now, we can set up the integral to find the volume:

V = ∫[a,b] \((upper-lower)^{2}\) dx

In this case, the limits of integration are a = -0.2 and b = 0.4.

V = ∫[-0.2, 0.4] \((2.5x^{2} -e^{2.5x)} ^{2}\) dx

To calculate this integral, we'll either need to use numerical methods or simplify the expression further. Since simplifying the expression may not lead to a simple closed-form solution, we'll use numerical methods.

Using numerical integration, the volume of the described object is approximately:

V ≈ 0.247 (rounded to three decimal places)

Therefore, the volume of the object is approximately 0.247 cubic units.

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Answer:

The area is 480

Step-by-step explanation:

Area you have to multiply the sides, so you multiply them.

10 x 6 x 8

60 x 8

480

Your answer is 480

I hope it helps! Have a great day!

Lilac~

All parabolas have A. One increasing and one decreasing interval .

A parabola is a U-shaped curve that can either be concave up or concave down. If the parabola is concave up (like the letter "U"), it has a minimum point and is increasing to the left and decreasing to the right.

If the parabola is concave down (like an upside-down "U"), it has a maximum point and is decreasing to the left and increasing to the right. Therefore, all parabolas have at least one interval of increase and one interval of decrease.

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Answer:

We have the system:

y > 2*x

y > 3

Now, let's find the limits:

taking y > 3, we can see the limit y = 3.

Now we replace it in the first inequality:

3 > 2*x

3/2 > x.

Then we have that:

y > 3

x < 3/2

Those two inequalities define our system.

So any ordered pair where x is smaller than 3/2 and y is larger than 3, is a solution.

or example:

(1, 3.5) is a solution.

Answer:

(1,5)

Step-by-step explanation:

the other options make the system of equations wrong..

If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

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Answer:

To find missing sides you subtract the angle from 180.

Step-by-step explanation:

If you have 40 and 30 you subtract them from 180 to find the missing lengh

Yes, they can use the walkie-talkies to talk to each other.

The distance between them is given as 28.2 meters.

The horizontal and vertical distances should be considered when calculating the distance between their apartments using the three-dimensional form of the Pythagorean theorem.

This comes out as \(\sqrt((18^2 + 19^2 + 7^2))\), which equals \(\sqrt(798)\) square root meters, or, to the nearest tenth, 28.2 meters.

Since this distance is less than the 35-meter range of the walkie-talkies, communication should be possible between the two apartments.

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Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

Answer:

B) Parallellogram

Step-by-step explanation:

Parallelograms are quadrilaterals where all of the opposite sides are parallel and equal.

Hope this helped, let me know if you need anything else ^-^

Answer:

parallelogram.........

Turbine blades are generally more susceptible to operating damage than compressor blades because of the exposure to high temperatures, option A.

A turbine is an engine in which an operating fluid acts on a series of blades placed around the circumference of a wheel; the resultant torque drives the wheel and forces the fluid into a discharge circuit. Turbine blades are usually produced from nickel alloys and are subjected to severe thermal and mechanical loading during operation. In an internal combustion engine, the gas temperature before the turbine blades in a gas turbine engine can exceed 1700°C, and the stresses produced in the blades by the rapidly spinning turbine can be as high as 200 times the force of gravity.

Compressor blades, like turbine blades, are exposed to high temperatures. When air is compressed in a jet engine, the temperature of the compressed air rises. As a result, compressor blades can be subjected to temperatures ranging from -50°C to 200°C, depending on the stage of the compressor and the pressure of the air.

Therefore, the correct option is A. exposure to high temperature.

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