8. Find the missing side in each triangle using
any method. Check your answers using a
different method.
(From Unit 4, Lesson 1.)
5
3
12
y
9

Answer:

D: x=-3/k

Step-by-step explanation:

kx+7=4 (Subtract 7 from both sides)

kx=-3 (Divide both sides by k)

x=-3/k

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Answer:

i believe the median is three

Answer:

8

Explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.

Answer:

N^6

= n*n*n*n*n*n

Step-by-step explanation:

Answer:

AB = 7.81

m<A = 50.19

m<B = 39.8

m<C = 90

Step-by-step explanation:

Step-by-step explanation:

Monthly bill - Flat rate = $38.44 - $3.99 = $34.45.

Minutes used = $34.45 / $0.05 = 689.

We need to find a homogeneous linear differential equation with constant coefficients whose general solution is given.

The general solution of the differential equation is y = c1 + c2e^(5x).The differential equation is of the form

y′′+ a1y′+ a0

y= 0.

For homogeneous linear differential equation with constant coefficients, a0 and a1 are constant numbers and it has solution of the form y = e^(mx).

So, we substitute y = e^(mx) into the differential equation to get the characteristic equation. Therefore, the differential equation will be y′′ + 5y′ = 0.Characteristic equation is m² + 5m = 0.m(m + 5) = 0m = 0, -5∴ y = c1 + c2e^(5x) is the general solution of the differential equation y′′ + 5y′ = 0, which has homogeneous linear differential equation with constant coefficients. Therefore, the correct answer is y′′ + 5y′ = 0.

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Step-by-step explanation:

1.

(80-4)²÷8

(76)²÷8

5776÷8

722

2.

92.3-(3.2÷0.4)*2³

92.3-8*2³

92.3-8*8

92.3-64

28.3

3.

[(2³*2.5÷1/2)]+120

(8*5)+120

40+120

160

4.

(2*10⁰)÷1/3+8

(2*1)÷1/3+8

2÷1/3+8

6+8

14

Wishing Success

Answer:

u=66(oppodite angles of parallrlogram are equal)

66+3v=180( cointerior angle)

3v=114

V=38

Step-by-step explanation:

plz mske me brainliest

There are breaks in continuity for the function f(x) = tan(nx) at the point when x equals (k + 0.5)/n, where k is an arbitrary integer. These breaks in continuity are not able to be removed.

The 0, denoted by tan(x), exhibits vertical asymptotes at the value of x equal to (k plus 0.5), where k is an integer. The period of the function will shift in response to the addition of the component n to the argument of the tangent function, as seen by the expression tan(nx). The period of the function f(x) = tan(nx) changes to /n as a result of this transformation.

The values of the expression x = (k + 0.5)/n will cause the denominator of the tangent function to become zero, which will result in vertical asymptotes. This holds true for any integer k. These are the places where the function f(x) = tan(nx) breaks down completely into two separate functions.

These discontinuities cannot be removed because they correspond to points in the function's domain where it is not defined. When x gets closer to these values, the function starts to get closer to either positive or negative infinity. It is not possible for us to redefine or eliminate these discontinuities without making significant changes to the behaviour of the function. Because of this, we do not consider them to be removable.

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The base of the original triangle is 5 times the base of the smaller triangle if a scale factor of one-fifth is used to make a reduction.

What is a reduction?

A reduction is a mathematical procedure that involves reducing a number or expression to its lowest form. In geometry, a reduction is a transformation in which the size of a geometric shape is decreased. The base of the original triangle is the segment connecting two opposite vertices. A triangle is a polygon with three sides and three vertices.

In this problem, a reduction is used to reduce the size of the triangle.

What is a scale factor?

A scale factor is the ratio of the dimensions of an original object to those of a reduced or enlarged object. The dimensions of a figure in a plane may be expanded or contracted using a scale factor. Scale factors are used in a variety of contexts, including maps and models.

How to find the base of the original triangle?

The original base is calculated by multiplying the length of the reduced base by the reciprocal of the scale factor. To get the original base, multiply the reduced base by the inverse of the scale factor.

If a scale factor of 1/5 is used to make the reduction, the original base is 5 times the reduced base.

The formula for calculating the original length or base can be expressed as follows:

Original length = Reduced length x (1/scale factor)

Base of the original triangle = Base of the smaller triangle x 5

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Answer:

-2

Step-by-step explanation:

5 + 6 - 12 + (-4) - (-3)

11 - 12 + (-4) - (-3)

-1 + (-4) - (-3)

-1 - 4 - (-3)

-5 - (-3)

-5 + 3

- 2

Hope this helps!

Answer:

the answer is   -2  for the picture

5 + 6 - 12 + (-4) - (-3)

the answer for what you typed is  -14

plz mark brainliest

Step-by-step explanation:

The required solutions are,
1) point A on the triangle is the center of dilation.
2) Triangle ABC is the original triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
1) As shown in the figure, after dilation the only initial point that does not change points A. So it could be concluded that point A is the center of dilation.
2) since the scale factor is of 1/2 implies that the dilated figure is lower than the size of the original figure hence, triangle ABC is the original triangle.

Thus, the required solutions are,
1) point A on the triangle is the center of dilation.
2) Triangle ABC is the original triangle.

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Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.

These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.

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A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

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The answer is A.

Because it goes 2 down

The correct option is A, we can conclude the placebo effect partially explains the results seen in the men taking the new drug.

The placebo effect is a phenomenon where a person experiences an improvement in their condition after receiving a treatment that is inactive or has no therapeutic effect. This can occur when a person believes that they are receiving an effective treatment, and their expectations and beliefs about the treatment can influence their experience of the treatment's benefits. The placebo effect can be observed in a range of conditions, including pain relief, depression, anxiety, and even in some cases, more objective measures such as blood pressure and heart rate.

Placebo treatments can come in many forms, including sugar pills, saline injections, or sham surgeries, among others. While the mechanism behind the placebo effect is not fully understood, it is thought to involve a complex interplay between psychological and physiological factors.

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Complete Question: -

Researchers conducted a randomized comparative experiment to test a new drug for helping balding men keep their hair. 42% of the placebo group kept or increased their hair compared to 86% of the men getting

the new drug. What can we conclude?

A. The placebo effect partially explains the results seen in the men taking the new drug.

B. The placebo effect is not present in this experiment because the men are randomly assigned to treatments.

C. The results of this experiment cannot be trusted because of the placebo effect.

Answer:

16.65

Step-by-step explanation:

10% of 18.50 is 1.85, so you just subtract that.

Answer:

  A.  60 ft·lb

Step-by-step explanation:

You want the work done lifting a 15-lb flower pot to a height of 4 ft.

Work is the product of force and distance. When the pot is raised 4 ft, the work done is ...

  W = F·d

  W = (15 lb)(4 ft) = 60 ft·lb

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Given differential equation is 2ex y" - y = ex + e-x ------(1)

For finding the solution of (1), we can use the method of undetermined coefficients.For the nonhomogeneous term in (1), we have ex + e-x.

Therefore, let's assume that the particular solution of (1) has the form yp = Aex + B e-x.

Here, A and B are the constants that need to be determined.

To find the constants A and B, let's substitute yp in (1) and solve for A and B.

2ex y" - y = ex + e-x2ex (-Aex - B e-x) - (Aex + B e-x)

= ex + e-x(-2A) + 2Aex - (2B)e-x - Aex - B e-x

= ex + e-x

Simplifying the above equation,-A = 1, A = -1B = 0

Therefore, the particular solution of (1) is given by

yp = -ex

The general solution of the differential equation is given by

y = yc + yp -------------(2)

where yc is the complementary function and yp is the particular solution obtained by us in the above step.

Now let's find the complementary function for (1).For the complementary function of (1), we need to solve the homogeneous differential equation obtained by setting the right-hand side of (1) equal to zero, which is

2ex y" - y = 0

Let's assume the solution of the above differential equation as

y = e^(rx).

Now substitute this y in the differential equation

2ex y" - y = 02ex [(r^2)e^(rx)] - e^(rx)

= 0r^2 - 1

= 0r

= ±1

The complementary function

yc of (1) is given by

yc = c1e^x + c2e^-x

Now, substituting the particular solution yp and complementary function yc in (2), we get the general solution of (1) as

y = c1e^x + c2e^-x - ex

Hence the general solution of the given differential equation is

y = c1e^x + c2e^-x - ex + c3 + c4 tan^⁻1 e^x + c5 tan^⁻1 e^-x.

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From the question we have been given the rate of conversion from kilograms to pounds, which is;

Therefore, for a dog that weighs 112 pounds, the weight in kilograms shall be calculated as follows;

This means the dog's weight in kilograms would be approximately 50.79 kilograms.

The prescription indicates 4.25 mg per kilogram of body weight. Hence, for a dog that weighs 50.79 kg, the dosage would be;

Next, if Denefor is available in 200ml/5mL, and the dog requires a total of 215.86 mg, then the prescription in mL would be;

This means the dog whose body weight is 112lb/50.79kg would be given 5.08ml of Denefor.

ANSWER:

Answer: 502.4 cubed

Step-by-step explanation:

3.14x10x(4 squared)=160x3.14

502.4 (cubed)

Answer:

UNDEFINED

Step-by-step explanation:

The total number of $12 tickets are 120 while the $15 tickets are 180.

In addition to using operational signs, algebraic expressions also include numbers and variables. Examples include multiplication, multiplication with the natural exponent, division, and addition, subtraction, and exponentiation. The term "fractional expression" refers to division in an algebraic expression with variables.

The term "rational numbers" refers to numbers that can be expressed as fractions. Integers, repeating decimals, and terminating decimals are a few examples.

Given that x stands for $12 tickets and y stands for $15 given as the equation

12x + 15y = 4140

x + y = 300

y = 300 - x

Substitute the value of y in the first equation

12x + 15(300 - x) = 4140

12 x + 4500 - 15x = 4140

12x - 15x = 4140 - 4500

-3x = −360

x = 360/3

x = 120

y = 300 - (120)

y = 180

Thus, The total number of $12 tickets are 120 while the $15 tickets are 180.

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The exclamation point in the middle of a yellow triangle is a warning icon that may be seen on a variety of gadgets and software, including Windows PCs and Android smartphones.

It often serves as a signal for a problem or issue that needs addressing. Depending on the context in which it occurs, a symbol's precise meaning may change.

On a Windows computer, for instance, it can mean that a device driver needs to be updated, but on an Android phone, it might mean that a system update or an app has a bug that needs to be fixed.

Investigate the origin of the alert and take the necessary steps to resolve any problems that could be impacting your system or device.

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The similarities and differences between one and two variable expressions are highlighted below.

Equation involving one variable can be written thus :

Equation involving two variables can be written thus :

.

Similarities :

Differences:

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Answer:

Yes

Step-by-step explanation:

It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle