Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? Responses 36 in. StartFragment, 36 in., 24 in. StartFragment, 24 in., 18 in. StartFragment, 18 in., 4 in.

The translated coordinates of B is B'(97,69).

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given, point B with coordinates (95, 71) is mapped onto B' through a translation by vector (2,-4).

That means, the translation is 2 units right and 4 units down.

A positive number means moving to the right and a negative number means moving to the left.

The number at the second term represents up and down movement. A positive number means moving up, and a negative number means moving down.

So, B (95, 71) → B' (95 + 2, 73 -4)

       B (95, 71) → B' (97, 69)

Therefore, the coordinates of B' is (97, 69).

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Answer:Select the correct answer from each drop-down menu.

Consider the end behavior of this function, and then complete the statements.

h(x) = -x - 3| +4

As x approaches negative infinity, h (x) approaches

As x approaches positive infinity, h (x) approaches

Step-by-step explanation:

h(x) = -x - 3| +4 x311

The coordinates  of the circumcenter of the triangle with the vertices H(-10, 7), J(-6, 3) and K(-2, 3) is (-4, 9).

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

The given points are H(-10, 7), J(-6, 3) and K(-2, 3)

Since, Circumcenter of triangle is equidistant from vertices,

Therefore, H(-10, 7), J(-6, 3) and K(-2, 3) are equidistant from circumcenter O,

Let the coordinate of  O be (x,y).

OH = OJ

(x + 10)² + (y - 7)² = (x + 6)² + (y - 3)²

x² + 100 + 20x + y² + 49 - 14y = x² + 36 + 12x + y² + 9 -6y

8x - 8y + 104 = 0

x - y + 13 = 0   (1)

Also, OH = OK

(x + 10)² + (y - 7)² = (x + 2)² + (y - 3)²

x² + 100 + 20x + y² + 49 - 14y  = x² + 4 + 4x + y² + 9 - 6y

16x - 8y + 136 = 0

2x - y + 17 = 0     (2)

By solving equation (1) and (2),

x = -4

y = 9

The coordinate of the circumcenter is (-4, 9).

Hence, this is the required answer.

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Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

the answer to the equation is x2=4 or 2-2

The investment compounded annually has a higher final value than the investment you described because the annual compound interest rate is higher.

What is compound interest?

Compound interest is a type of interest that is calculated on the initial principal of an investment as well as any accumulated interest. In other words, compound interest is interest that is earned on both the original principal and on the accumulated interest from previous periods.

To compare the investment you described to an investment of the same principal at the same rate compounded annually, we need to calculate the final value of each investment after 18 years.

For the investment you described, the final value can be calculated using the formula:

FV = P(1 + r/n)^(nt)

Where FV is the final value, P is the principal, r is the annual interest rate, n is the number of interest periods per year, and t is the number of years.

Plugging in the values given in the problem, we get:

FV = $6,000(1 + 0.06/6)^(6*18) = $6,000(1.01)^108 = $12,688.80

For the investment compounded annually, the final value can be calculated using the same formula, but with n = 1:

FV = $6,000(1 + 0.06/1)^(1*18) = $6,000(1.06)^18 = $15,848.75

Hence, the investment compounded annually has a higher final value than the investment you described because the annual compound interest rate is higher. The difference in final value between the two investments is $15,848.75 - $12,688.80 = $3,159.95.

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Answer:

sec^2(a) - sin(a)

Step-by-step explanation:

Hope it helps!

Answer:

Step-by-step explanation:the answer is (sin2 A+cos2)/cos A

tan A+cot A =? =sin A/cos A + cosA/sinA. = (sin^2 A+cos^2 A)/cos A.

The evaluation of −0.5D of the matrix gives

[9       8]

[-7     -4]

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

Given:  the matrix

D =  [-18  -16]

       [14     8]

To find −0.5D, multiply every number in the matrix D by -−0.5. Thus:

−0.5D = −0.5 × [-18  -16]

                         [14     8]

−0.5D  =  [9       8]

               [-7     -4]

Therefore, the 1st option is the answer

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Answer:

The answer will be 11.78

Step-by-step explanation:

The first step to dividing fractions of 412.3 and 35. Next to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed. You will get the answer in no time!

Answer:

Therefore, the possible values of x are all numbers less than 8.

Step-by-step explanation:

To find the value of x, we need to isolate the variable on one side of the inequality.

To do this, we can subtract 36 from both sides of the inequality to get -36 + x < 8 - 36.

This simplifies to -36 + x < -28.

Next, we can add 36 to both sides to get x < -28 + 36, which simplifies to x < 8.

Therefore, the possible values of x are all numbers less than 8.

Answer:

Inequality Form:

x<44

Interval Notation:

(−∞,44)

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

Answer:

The x-intercept is 40, which represents the number of monthly payments needed to repay the loan.

Step-by-step explanation:

The x-axis can be represented as y = $0, and in this graph y represents remaining balance. So, the x-intercept represents when no more money needs to be paid back on the loan.

Answer:

3.1429

Step-by-step explanation

`(22)/(7)=3.1429` correct to four decimal places.

Answer:

y=4x-5

Step-by-step explanation:

y=mx+c

m=4

c = y-intercept = -5

y=4x-5

Terms in Algebraic Expression are [tex]4x^{2}[/tex] , -5y , 7

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Example of Algebraic Expression - 4x + 5y +8

Hence the term is the algebraic expression are -4x , 5y 8

According to the given information

The Algebraic Expression given to us

[tex]4x^{2} -5y+7[/tex]

Hence

The algebraic expression has three terms.

Terms are [tex]4x^{2}[/tex] , -5y , 7

Terms in Algebraic Expression are [tex]4x^{2}[/tex] , -5y , 7

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Answer:

B

Step-by-step explanation:

Reverse the first and second elements of each ordered pair.

Answer:

Refer to the photo taken.

Step-by-step explanation:

Elyse can select from one of 960 cities or a combination of them. if Elyse decides to purchase a round-the-world ticket. From each of the continents she will travel, she will only get to view one city.

In mathematics, there are two additional methods for dividing a set of components into subsets: combination and permutation. The elements of the subset may be mixed in any order. The subset's elements are listed in a permutation in a certain order.

Given,

Elyse is planning to purchase a round-the-world flight. From each of the continents she will travel, she will only get to view one city. The continents she will visit and the number of cities she can visit are displayed in the table below. There are options for every continent.

We utilize permutations and combinations to calculate the number of alternatives Elyse will have.

For every 10 cities in Europe, she can choose from any of the eight cities in Asia. For every eight cities in Asia, she can choose any of the four in Africa. Africa and Australia share a similar situation.

Elyse can select one of these total:

10×8×4×3

960

Elyse can choose one of 960 cities or a combination of them.

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Answer:r4r

Step-by-step explanation:

The data set is  the data is univariate and numerical.

What is  set ?

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.

The display summarizes grades on a World History exam.

100,95,90,85,80,75,70,65,60,55, 50

The data is univariate and numerical.

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a) The linear function used to find the equipment rental fee is of: y = 9x + 20.

b) The cost for 6 hours of training is of: $74.

The linear function is defined considering it's slope-intercept format, given as follows:

y = mx + b.

The coefficients of the function are given as follows:

A soccer training camp charges $9.50 per hour for training, hence the slope is of:

m = 9.

The total fee for 12 hours of training was $128, hence the intercept b is obtained as follows:

128 = 9(12) + b

b = 128 - 108

b = 20.

Hence the function is defined as follows:

y = 9x + 20.

The cost for six hours of training is obtained as follows:

y = 9(6) + 20 = $54.

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1.7a+0.3a=0.8

2a=0.8

a=0.4

Answer:

The graph of h(x) = 1/7×2^x will be shifted to the left and compressed compared to the graph of f(x). The y-intercept of h(x) will be 1/7, whereas the y-intercept of f(x) is 1. The graph of h(x) will also have a much smaller range than the graph of f(x).

Step-by-step explanation:

The equation of a graph is given by y=f(x). After transformation, the equation changes to y=h(x).

h(x) = 1/7×2^x

h(x) = 1/7 × (2^x)

h(x) = 1/7 * 2^x

h(x) = (1/7)2^x

=> y = (1/7)2^x

=> y = 1/7 (2^x)

Therefore, the graph of h(x) = 1/7×2^x will be shifted to the left and compressed compared to the graph of f(x). The y-intercept of h(x) will be 1/7, whereas the y-intercept of f(x) is 1. The graph of h(x) will also have a much smaller range than the graph of f(x).

Answer:

The graph of h(x) = 1/7×2^x would be the same as the graph of f(x) = 2^x, but it would be vertically scaled down by a factor of 1/7. This means that all the points on the graph of h(x) would have the same x-coordinates as the corresponding points on the graph of f(x), but their y-coordinates would be 1/7 times smaller. For example, the point (1,2) on the graph of f(x) would be located at (1,1/7) on the graph of h(x).

The required solution is given as x = -4.32 and x = 8.32.

Given that,
To Solve (x-2)²- 40 = 0, where x is a real number.

The process in mathematics to operate and the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

(x-2)²- 40 = 0
(x - 2) = √40
x - 2 = ± 6.32
Taking plus,
x = 6.32 + 2
x = 8.32
Taking minus
x = -6.32 + 2
x = -4.32

Thus, the required solution is given as x = -4.32 and x = 8.32.

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Answer:

Dang this is hard

Step-by-step explanation:

Step-by-step explanation:

Using the points [tex](40,20)[/tex] and [tex](50,50)[/tex], [tex]m=\frac{50-20}{50-40}=3[/tex]

The image of the triangle ΔABC under a reflection across the line l can be obtained my making use of the laws of reflection, and the rules of a reflection transformation, to obtain the triangle ΔA'B'C', with vertices at A'(10, -5), B'(13, -6), and C'(12, -3)

Please find attached the plot of the image of the triangle ΔABC, created with MS Excel

A reflection transformation is one that forms a mirror image of the object across the line of reflection, such that lines joining corresponding points on the pre-image and the image are perpendicular to the line of reflection, and the corresponding points on the pre-image and the image are equidistant from the line of reflection.

Taking the coordinate of the vertices of the triangle ΔABC as A(10, 5), B(13, 6), C(12, 3), and the line l as coinciding with the x-axis, we get:

The coordinates of the image of a point (x, y) following a reflection about the x-axis is the point (x, -y)

Therefor, the coordinates of the vertices of the image of the triangle under a reflection across the line l are;

Please find attached the plot of the image of the triangle ABC under a reflection, across line l, created with MS Excel.

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