Which of the following transformations maps triangle JKL to triangle MNO? What is the relationship between the triangles? Reflect triangle JKL over the x-axis; triangle JKL and triangle MNO are similar Rotate triangle JKL 180° clockwise about the origin; triangle JKL and triangle MNO are congruent Translate triangle JKL left 1 unit and downward 10 units; triangle JKL and triangle MNO are congruent Dilate triangle JKL by a scale factor of 2 from the origin; triangle JKL and triangle MNO are similar

Answer: d. D: all real numbers   R: y≥1

Step-by-step explanation:

                                   y=x²+2x+2

y=x²+2x+1+1

y=(x²+2x+1)+1

y=(x+1)²+1

D:

all real numbers

x∈(-∞,∞)

R:

(x+1)²≥0

(x+1)²+1≥0+1

(x+1)²+1≥1

y≥1

y∈[1,∞)

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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Answer:

the answer is D 46 cm

Step-by-step explanation:

first you need to find the missing side measurements cutting in two separate figures. if one side is 2 you know the other side is also 2 same with the 4 if the top is 4 the bottom is 4 too so now you have the measurements for the first figure now you finder the area applying the formula

A=bxh

A= 4*2=8

second figure you know that one part of the rectangle top is 5 and if you add the 4 of the first figure give you the measurement of the top

5+4=9 so if the top is 9 the bottom is also 9

finally to find the other side you know the side is 6 and since you know one part of the first figure is 2 you need to subtract 6-2=4

A=bxh

A=9*4=28

once you have both you can add it 28+8=46

Answer:

(a) - 3/2

(b) - 78/25

Step-by-step explanation:

According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .

The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.

The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.

(a)

\(tan\beta = \frac{3}{-2} = \frac{-3}{2}\)

(b)

\(13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}\)

Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of first prism with sides 2, 1.5 and 3.2

Volume=2×1.5×3.2

=9.6 in³

The volume of second prism with sides 1.5, 1.5 and 6

Volume=1.5×1.5×6

=13.5 in³

The volume of third prism with sides 2, 5/2 and 7/2

Volume=2×2.5×3.5

=17.5 in³

The volume of fourth prism with sides 1/2, 1/2 and 1/2

Volume=0.5×0.5×0.5

=0.125 in³

Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

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The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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The fisherman can expect to catch 120 unhealthy salmon during the next month.

We can use the proportion of unhealthy to healthy salmon that was seen in the fisherman's catch of 15 salmon (12 unhealthy, 3 healthy) and multiply that proportion by the total amount of salmon he plans to catch (150) to find our answer.

Unhealthy = 150 × (12/15)

Unhealthy = 120

Therefore, the fisherman can expect to catch 120 unhealthy salmon during the next month.

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer: C

Step-by-step explanation:

I just took the quiz and I got it right

Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.

In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit

Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin

Given,

Complex number z divides by a second complex number w

To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction

From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w

Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.

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Answer:I hink its B if its not im sorry

Step-by-step explanation:

The set of 3 lengths that make a right triangle is {8, 15, 17}

Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.

So if the 3 sides are A, B, and C, such that:

A < B < C

We will have:

A² + B² = C²

Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:

8² + 15² = 17²

289 = 289

That equationis true, thus, these 3 lengths make a right triangle.

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Answer:

14.75 feet below ground level.

Step-by-step explanation:

90.5-105.25=-14.75

The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10

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

The difference of -10 and the product of p and q

The numbers are given as

p and q

The product of p and q means pq

So, we have the following

The difference of -10 and pq

The difference of -10 and pq means

pq + 10

Hence, the expression is pq + 10

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Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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Answer: 3.2

Step-by-step explanation: (2/5)/(1/8)=(2/5)*8= 16/5=3 1/5=3.2

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

a) $2380
b) $2832.2

Step-by-step explanation:

Compound Interest Formula:

\(A=P(1+\frac{r}{n} )^n^t\)

Compounding interest is when it increases exponentially every year. When it increases 19% per year, you multiply by 19% the new amount instead being based off the original value. In this case, after a year, 119% of 2000 would be 2380. Then, you would multiply 2380 by 119% to get the new amount (2832.2), instead of adding 19% of 2000 again (if it were simple interest you would just add 380 again instead of compounding).

A is the final amount after compounding.

P is the principle, or the amount you start with.

R is the interest rate.

t is the number of  time periods (in this case 1/2 years).

n is the number of times interest is applied per time period (t) (it's still 1/2 because the interest is applied once per year).

Answer:a) $2380

b) $2832.2

Step-by-step explanation:

Answer:

Supplementary

Step-by-step explanation:

Because complementary angles are angles that add up to 90.

Hope this helps!

Good Luck!

Answer:

Third option: 0

Step-by-step explanation:

edge2020

Answer:

The answer is 0!

Step-by-step explanation:

edge 2021

Answer:

1137004: A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

If 4 out of 10 wore glasses, then 6 out of 10 did not wear classes.  This would be 60% or .6

.6x30 = 18

Step-by-step explanation:

Option d is he correct answer.

.....

Answer:

the distance is 5

Step-by-step explanation:

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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The departments that account for one-fourth of the annual budget are sales, engineering and research departments

The pie chart that completes the question is added as an attachment.

From the attached image, we can see that each of the sales, engineering and research departments take 1/4 of the pie chart

Hence, the departments that account for one-fourth of the annual budget are sales, engineering and research departments

In (a), we have:

Engineering = 1/4 or 25%

From the graph

Support = 1/8 or 12.5%

So, the combined percentage is:

Combined = 25% + 12.5%

Evaluate

Combined = 37.5%

Approximate

Combined = 40%

In (a), we have:

Engineering = 1/4 or 25%

From the graph

Support = 1/8 or 15%

So, the combined percentage is:

Combined = 25% + 15%

Evaluate

Combined = 40%

From the graph;

Media = 1/3 of support.

So, we have:

Media = 1/3 of 15%

Evaluate

Media = 5%

Hence, the annual budget of media is 5%

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Answer:

ist the question

Step-by-step explanation:

write question first

Answer:

80%

Step-by-step explanation:

It has long been recognized and documented that insects are the most diverse group of organisms, meaning that the numbers of species of insects are more than any other group. In the world, some 900 thousand different kinds of living insects are known. This representation approximates 80 percent of the world's species.

Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.

A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.

Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.

According to the given information:

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