Tell whether the fractions are equivalent. Write = or


2/3 ______ 4/6

The lengths of the legs of the triangle cannot be determined by

\(x^2 + (x + 2)^2 = 100\). Thus, option D is correct.

Three vertices when joined with a straight line make up a triangle, a

three-sided polygon. The angles of triangle are formed by a point,

where each of the three sides are joined end to end.

The three angles  add up to make a triangle, sum of angles is a total of 180 degrees. The equations that can be used to find the lengths of the legs of triangle are:

\(0.5 (x) (x + 2) = 24\\x(x + 2) = 24\\x^2 + 2x -24 = 0\)

Therefore, 4, \(x^2 + (x + 2)^2 = 100\), is not an equation to find the

lengths of the legs of a triangle. It is a different equation that involves

the value of x and y that satisfy the equation of a circle with a center

\((-2, 0)\) and radius of  \(10\) .

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ1

Answer:

the mean is 8

Step-by-step explanation:

added them all together and divided by 7

The mean of numbers will be 8.

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

The numbers are,

⇒ 5,6,12,2,5,12,14

Now,

Since, The numbers are,

⇒ 5,6,12,2,5,12,14

Hence, The mean = 5 + 6 + 12 + 2 + 5 + 12 + 14 / 7

                             = 56/7

                             = 8

Thus, The mean of numbers will be 8.

Learn more about the mean visit:

https://brainly.com/question/1136789

#SPJ5

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

to learn more about congruency click on the link below

https://brainly.com/question/1675117

#SPJ13

Answer:

X=−10

Step-by-step explanation:

i hope this helps you ^_^

have a nice day/night

Equation/Question:

1/2(x-106)=12+7x

Answer/Steps to answer: (x= -10)

1. Simplify  1/2(x-106) to x-106/2.

x-106/2=12 + 7x

2. Multiply both sides by 2.

x−106=24+14x

3. Subtract x from both sides.

−106=24+14x−x

4. Simplify  24+14x-x to  24+13x.

-106=24+13x

5. Subtract 24 from both sides.

-106-24=13x

6. Simplify  -106-24 to −130.

-130=13x

7. Divide both sides by 13.

130/13=x

8. Simplify  130/13 to  1010.

-10=x

9. Switch sides.

x=-10

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

Checking:

1/2(x−106)=12+7x

1. Let x=-10x=−10.1

1/2​(−10−106)=12+7×−10

2. Simplify -10-106 to −116.

1/2​×−116=12+7×−10

3. Move the negative sign to the left.

-116/2=12+7×−10

4. Simplify 116/2 to 58

−58=12+7×−10

5. Simplify 7×−10  to −70.

−58=12−70

6. Simplify  12-70 to −58.

−58=−58

Done by NeighborhoodDealer

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

for more search question acceleration

https://brainly.com/question/30595126

#SPJ8

Answer:

In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.

=> Two right triangles PNT and PRT are congruent.

=> angle PRT = angle PNT = 34 deg

=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg

=> Option A is correct.

Hope this helps!

:)

Answer:

33.3

Step-by-step explanation:

You need to divide 200  and 150 to get you 4/3. Then you will have to _____________________________

The function y = (e⁻⁽ˣ⁺²⁾) / x + 2  increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but  concave downwards along (-∞, 1) ∪ (1 ,∞)

An extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.

The function given;

y = (e⁻⁽ˣ⁺²⁾) / x + 2

The extrema and intervals of increase or decrease of this function are

(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)

2. The inflection points and intervals of concavity and convexity of the function

y = 2x - 1 / (x - 1)² are

Learn more on intervals of a function here;

https://brainly.com/question/1503051

#SPJ1

An equation to find the width of a rectangular frame with perimeter 72.2inches and length 20.3 inches is given by 2( 20.3 + x ) = 72.2 .

As given in the question,

Pierce is making a rectangular frame for a photo collage.

Perimeter of a rectangular frame is equal to 72.2 inches.

Length of the rectangular frame is equal to 20.3 inches

Perimeter of the rectangle = 2(length + width) __(1)

Let x inches be the width of the frame

Equation with x width of the frame is given

2(20.3 + x) = 72.2

Therefore, an equation to find the width of a rectangular frame with perimeter 72.2inches and length 20.3 inches is given by 2( 20.3 + x ) =72.2.

Learn more about equation here

brainly.com/question/14686792

#SPJ1

Answer:

True

Step-by-step explanation:

The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.

The result of  the expression 2 + 5^3 is 127.

To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

In this case, the exponentiation should be performed first.

Step 1: Calculate 5^3

5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.

Step 2: Add 2 to the result from Step 1.

2 + 125 = 127.

Therefore, the result of 2 + 5^3 is 127.

For more such questions on result , Visit:

https://brainly.com/question/29248277

#SPJ11

Answer:

10-7=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Since we are doing inverse, the opposite of adding is subtracting, so 10-7 is 3.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

Answer:

A

Step-by-step explanation:

Cuz Im just right

(A) An equilateral triangle.

Therefore, Ethan is in the process of constructing (A) an equilateral triangle.

Know more about triangles here:

https://brainly.com/question/17335144

#SPJ2

We have the periodic number:

There is an infinite number of decimals, and all of them are 4. If we round this number to the 3 decimal places, this is:

So, to 3 decimal places, this is equal to 0.444, but the exact number is different because there are infinite decimals, not only 3.

Answer:

5

Step-by-step explanation:

f (k ) =14 sin ( 1.1 k) + 24

The expressions with the appropriate quantity is f ( k) = - 14sin(1.1k



Answer:

80b-16

Step-by-step explanation:

16(5b-1)

Answer:

The correct answer is option C.

Step-by-step explanation:

To find a substitute for the variable y in the second equation, you need to first find out what y is equivalent to in the first equation: in other words, isolate the variable. \(2y-x=6\) ⇒ \(2y = x + 6\) ⇒ \(y = 0.5x + 3\). Since y is equivalent to \(0.5x+3\) in the first equation, that means you can use that to replace y in the second equation, so the correct choice is C.

The arc length of \(y=2x^{\frac32}\) over [0, 1] is given by the integral,

\(L=\displaystyle\int_0^1\sqrt{1+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx\)

Differentiate y with respect to x using the power rule:

\(\dfrac{\mathrm dy}{\mathrm dx}=\dfrac32\times2 x^{\frac32-1}=3x^{\frac12}\)

Then the integral becomes

\(L=\displaystyle\int_0^1\sqrt{1+\left(3x^{\frac12}\right)^2}\,\mathrm dx=\int_0^1\sqrt{1+9x}\,\mathrm dx\)

Substitute u = 1 + 9x and du = 9 dx :

\(L=\displaystyle\int_0^1\sqrt{1+9x}\,\mathrm dx=\frac19\int_1^{10}\sqrt u\,\mathrm du\)

\(L=\displaystyle\frac19\left(\frac23u^{\frac32}\right)\bigg|_1^{10}\)

\(L=\dfrac2{27}\left(10^{\frac32}-1^{\frac32}\right)\)

\(L=\boxed{\dfrac2{27}\left(10^{\frac32}-1\right)}\)

Answer:

x = 0 , 5

Step-by-step explanation:

\(\frac{2x}{x-3}=\frac{3x}{x-2}\)

Cross multiply,

2x* ( x - 2) = 3x *(x - 3)

2x*x - 2*2x  = x*3x - 3*3x

2x² - 4x   = 3x² - 9x

subtract 2x² from both sides

-4x = 3x² - 2x² - 9x           {Combine like terms}

-4x = x² - 9x

Add 9x to both sides

-4x+ 9x = x²

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0  ; x - 5 = 0

                 x = 5

Answer:

0,5

Step-by-step explanation:

took test, person who put question up was correct

The Midsegment Theorem, states that a segment connecting the midpoints of two sides of a triangle, is parallel and half as long as the third side, hence:

using the formula:

ANSWER

x = 12.4

Answer:

\({\huge\color{green}{\boxed{\fcolorbox{red}{yellow}{✪ANSWER✪}}}}\)

By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.

In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:

(t, h) = (0 s, 5 ft)

Second, the final height of the ball is equal to:

h = 5 ft

To learn more on quadratic equations: https://brainly.com/question/29011747

#SPJ1

Answer:

Option (4)

Step-by-step explanation:

Table having ordered pairs in the same ratio will show the proportional relationship.

Option (1).

\(\frac{x_1}{x_2}=\frac{y_1}{y_2}\)

\(\frac{-2}{-4}=\frac{4}{16}\)

\(\frac{1}{2}=\frac{1}{4}\)

Which is not true.

Therefore, Option (1) doesn't show the proportional relationship.

Option (2),

\(\frac{-6}{-8}=\frac{-12}{-18}\)

\(\frac{3}{4}=\frac{2}{3}\)

Not True.

Therefore, table given in option (2) doesn't show the proportional relationship.

Option (3).

\(\frac{-3}{-5}=\frac{5}{3}\)

\(\frac{3}{5}=\frac{5}{3}\)

Not True.

Table given in option (2) doesn't show the proportional relationship.

Option (4).

\(\frac{-6}{-9}=\frac{24}{36}\)

\(\frac{2}{3}=\frac{2}{3}\)

Therefore,Table given in option (3) shows the proportional relationship.

If the scale factor is less than 1, the dilated figure is smaller than the original, if it is greater than 1 the dilated figure is larger than the original.

The given vertex of the line are;

R(-2, 6), T(-6, -2), S(6, -4)

To learn more about scale refer to:

https://brainly.com/question/21922707

#SPJ1

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81