Which rule describes the composition of
transformations that maps triangle DEF to triangle D"E"F"?

Answer:

C

Step-by-step explanation:

There is a negative correlation in the data set, Option B is correct.

As per the question, it is to be determined which correlation is shown in the scatterplot.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.

Here,
In the scatter, plot the graph of the points shows a decline while moving on the positive x-axis. Thus the negative correlation is plainly going down, starting at the top left and moving down to the bottom right.

Thus, there is a negative correlation in the data set, Option B is correct.

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Answer:

-7 and 6

Step-by-step explanation:

You can solve this problem by setting up a system of equations. Lets call the first number x, and the second number y. Now:

x*y=-42

x+y=-1

You can subtract y from both sides of the second equation to get x=-y-1, which you can then substitute into the first:

(-y-1)*y=-42

-y^2-y=-42

y^2+y-42=0

Solving the quadratic equation:

(y-6)(y+7)=0

y=-7 or 6

x= 6 or -7

When one of the numbers is -7, the other is 6, and when it is 6, the other is -7. Hope this helps!

Answer:

2.5

Step-by-step explanation:

youll have to multiply 4 times 5/8

Answer:

20/18

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

Answer:

The answer is a

Step-by-step explanation

2x2 - 4x + 2 will be a polynomial

(4x + 6) + (2x² - 8x - 4)

= 4x + 6 + 2x² - 8x - 4

= 2x² + (4x - 8x) + (6 - 4)

= 2x² - 4x + 2

And it is polynomial (it has more than 1 term)

Answer:

A. [tex]2x^{2} - 4x + 2[/tex] ; will be a polynomial

Step-by-step explanation:

(4x + 6) + (2x² - 8x - 4)

= 4x + 6 + 2x² - 8x - 4

= 2x² + (4x - 8x) + (6 - 4)

= 2x² - 4x + 2

Polynomial (it has more than 1 term)

Hope that help!

The y-intercept is where the graph goes through the y-axis (the vertical line in the center). It goes through at y=-9, so the coordinates would be (0,-9), since it is (x,y).

Answer:

The y-intercept is (0, -9)

Step-by-step explanation:

Answer:

[tex]x = 14.8[/tex]

Step-by-step explanation:

As these triangles are similar, every side and angle corresponds and this is key to calculating this equation.

First, look at the side that is labeled [tex]x + 8[/tex] and find the corresponding side on the other triangle. Write this out as a fraction as shown below. Now find two corresponding sides that are both marked (the base lines) and write them out as a fraction as well (note that which ever triangle you are solving for, it's numbers will go on the top of the fraction)

[tex]\frac{x + 8}{36} = \frac{38}{60}[/tex]

We want to get the [tex]x[/tex] by its self and at the moment it is divided by 36. To remove the 36, we need to multiply both sides of the equation by 36

36 x [tex]\frac{x + 8}{36} = \frac{38}{60}[/tex] x 36

This cancels out both the 36s on the left leaving us with

[tex]x + 8 = \frac{38}{60}[/tex] x 36

all that needs to happen now is to remove the +8 so we are just left with [tex]x[/tex]. to do this, just subtract 8 from both sides and we are left with

[tex]x = \frac{38}{60}[/tex] x 36 - 8

calculate 38 ÷ 60 x 36 - 8 = 14.8

∴ [tex]x = 14.8[/tex]

I hope this was helpful and not too long :-)

Answer:

This would be a negative

Answer:

Negative because it says ¨below zero¨ clarifying it is, indeed, a negative.

Answer:

A. 30.27

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

Answer:

0 ≤ x ≤ 4

Step-by-step explanation:

we are asked to find all the values of x such that y>0.

for y>0, this means that we will only consider the portion of the graph that is above the x - axis (i.e the part of the graph above y=0)

By observation, we can see that the graph is only above the x-axis between the interval  0 ≤ x ≤ 4  (which is the answer to your question)

Answer:

1. 27

2. 63

3. 135

4. 28

5. First answer choice

Step-by-step explanation:

I can explain any specific problem in the comments if you'd like, but explaining all 5 would take too long. Hope this helps!

Answer:

Length = 32 ft

Width = 10 1/3 ft

Step-by-step explanation:

Answer:

The perimeter of the given composite figure is:

Step-by-step explanation:

The perimeter is defined as the sum of the sides in a figure, therefore, what you should do in this exercise is to add all the yards of the sides of the compound figure, however, you should notice that there are two sides of which They do not give you the measurement and you must identify it based on the sides that do have it, which would be:

In the previous case, the two measures on the other side that are complete are used, which are 19 yards and 4 yards respectively, then the measurement that is on our same side (17 yards) is subtracted and thus we obtain the value of the vertical line that it did not have, now that of the horizontal line:

In this case, something similar was done, the total measurement of the base was taken and the measurements of the upper zone were subtracted, with which the measurement of the remaining zone was found.

All the measures are added together:

Answer:

934

Step-by-step explanation:

Answer:

w < (line under the sign) -6

Step-by-step explanation:

Answer:

Four times a number less 6 is 8 more than twice that number. find the number. Denote that number: a, we have:

a x 4 - 6 = a x 2 + 8

=> a x 2 = 6 + 8 =14

=> a = 14/2 = 7

Hope this helps!

:)

The descriptions that can define more than one triangle is

a) angle measurements of 35°, 35°, and 110°

b) angle measurements of 40°, 60°, and 80°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now  the measurements of the triangle are

a)

angle measurements of 35°, 35°, and 110°

A triangle must have length sides that fulfil the Triangle Inequality Theorem and interior angles that add up to 180 degrees.

When two triangles are comparable, their corresponding sides have a proportionate ratio and their corresponding angles have a congruent relationship.

So , several triangles with the same internal angles are possible

b)

angle measurements of 40°, 60°, and 80°

Now , several triangles with the same internal angles are possible

Hence , the triangle is solved

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The descriptions that can describe more than one triangle are:

Angle measurements of 35°, 35°, and 110°

Side lengths of 6 ft, 8 ft, and 10 ft

The descriptions that can describe more than one triangle are:

Angle measurements of 35°, 35°, and 110°: This set of angles can form more than one triangle because the sum of angles in a triangle is always 180°. So, even though two angles are equal (35° each), their combination with a larger angle (110°) allows for multiple triangle constructions.

Side lengths of 6 ft, 8 ft, and 10 ft: This set of side lengths satisfies the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Thus, there are multiple triangles possible with these side lengths.

Question

Which descriptions can describe more than one triangle? Select two options.

side lengths of 6 ft, 8 ft, and 10 ft

angle measurements of 35, 35, and 110°

angle measurements of 30°, 40, and 50°

angle measurements of 40°, 60°, and 80°

side lengths of 4 cm, 6 cm, and 9 cm

Answer:

a. Account 1: 1 year Account 2: 10 years

b. Account 1: 2 years Account 2: 30 years

c. The first account grows exponentially, while the second one grows at a linear rate. Therefore, over time the first account tends to surpass the second one in value.

Step-by-step explanation:

The first account can be modeled by using a compounded formula with 100% rating, since it doubles every year. The formula is shown below:

M = C*(1 + r)^t

Where M is the final amount, C is the initial amount, r is the interest rate and t is the elapsed time. If r = 1, then it doubles every year, so we have the following expression for the first account:

M = 200*(2)^t

While the second acount grows at a steady rate of $100, therefore it can be modeled by the initial amount added by the growth rate multiplied by the elapsed time as shown below:

M = 1000 + 100*t

a. The first acount take 1 year to double, since it doubles every year.

In order for the second acount to double it needs to reach M = 2000, so we have:

2000 = 1000 + 100*t

100* t = 2000 - 1000

100*t = 1000

t = 10

It will take 10 years to double.

b. The first account will double again in 1 more year, so 2 years total.

The second account will need to reach M = 4000, therefore:

4000 = 1000 + 100*t

100*t = 4000 - 1000

100*t = 3000

t = 30

It'll take 30 years total for the second account to double again.

c. Since the first account grows exponentially it grows at a faster rate in comparison to the second one that grows linearly over time. Therefore over time the first account tends to surpass the second one in value.

In this exercise we will have to use the knowledge of finance to calculate the income time in this way we can say that:

a. [tex]Account 1: 1 year \\Account 2: 10 years[/tex]

b. [tex]Account 1: 2 years\\ Account 2: 30 years[/tex]

c. The first account grows exponentially, while the second one grows at a linear rate.  

Then writing the yield formula as:

[tex]M = C*(1 + r)^t[/tex]

Where:

If r = 1, then it doubles every year, so we have the following expression for the first account:

[tex]M = 200*(2)^tM = 1000 + 100*t[/tex]

a. In order for the second acount to double it needs to reach M = 2000, so we have:

[tex]2000 = 1000 + 100*t100* t = 2000 - 1000100*t = 1000t = 10[/tex]

b. The second account will need to reach M = 4000, therefore:

[tex]4000 = 1000 + 100*t100*t = 4000 - 1000100*t = 3000t = 30[/tex]  

c. Since the first record of finances evolve exponentially it become larger at a faster rate distinguished to the second individual that evolve linearly over opportunity. Therefore over opportunity the first fees be apt to outdo something or someone the second individual fashionable advantage.

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Answer:

the answer is D

Step-by-step explanation:

9,862 times 2/2 = 9862 so that doesn't work

but 9,862 times 4/2 = 19724 and that is greater than 9,862.

Answer: D) 9,862 * [tex]\frac{4}{2}[/tex]

Step-by-step explanation: If a number is not greater than one, then the number will actually decrease. Let's turn [tex]\frac{4}{2}[/tex] into a decimal.

4 ÷ 2 = 2

9,862 * 2 = 19,724

I hope this helps!

Answer:

k = 9

Step-by-step explanation:

n = 3, so substitute 3 for n in the equation

k = 3(3)

k = 9

Adding a value at the end shifts the graph up that number of units.

The answer is C.

Answer:

18

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

The base length is 6 and the height is 6

A = 1/2 (6) * 6

A =18

Answer:

B. 18 units²

Step-by-step explanation:

You find the area of the triangle with the dotted lines first:

[tex]\frac{1}{2}[/tex]*b*h

[tex]\frac{1}{2}[/tex]*9*6=

27

The area of the triangle including the dotted lines is 27 units²

Now we need to find the area of the small dotted triangle using the solid line triangle as a hypotenuse.

[tex]\frac{1}{2}[/tex]*b*h

[tex]\frac{1}{2}[/tex]*3*6=

9

The area of the small dotted triangle is 9 units²

To find the area of the solid lined triangle, you need to subtract the area of the small dotted line triangle (9 units²) from the triangle with the dotted lines (27 units²) which is:

27-9=18

The solid lined triangle is 18 units²

Answer:

18.31 meters

Step-by-step explanation:

Use the circumference formula  C =2πr = dπ

C = 57.52 m = dπ

d = 57.52 m / π = 57.52 / 3.1415926= 18.308 m.

Answer:

∠6

Step-by-step explanation:

The angle of elevation is the angle between an horizontal line and the line from the object to the observers eyes. The line from the object is above the horizontal line. The angle of elevation denotes the angle from the horizontal upward.  

The first picture below is where your question emanated .The second picture describes the angle of elevation. The angle of elevation from kelley to the top of the waterfall is ∠6.

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, a rectangle.

We know that the area of a rectangular shape is

Area =length x width

Since we don't have any specific data regarding Nathan's plot of land

Let's assume some figure for better understanding

Say the length is 18m

And the width is 12m

Area = 18*12

Area= 216m²

Answer:

its B on edge

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

To find the percentage of a number, multiply the number by the decimal form of the percentage.

To find the decimal point of a percentage, remove the percent sign, then move the decimal point two spaces to the left. For example, 25% becomes 0.25.

Now, let's move on to solving the problems.

1. 0.22 * 198 = 43.56 (option #4)

2. 0.07 * 980 = 68.6 (option #2)

3. 0.15 * 75 = 11.25 (option #3)

4. 0.45 * 62 = 27.9 (option #1)

The solutions to x^3 = 5 - 5i in polar form are √50cis(-π/12), √50cis(4π/3), and √50cis(5π/12).

To find the solutions to the equation x^3 = 5 - 5i in polar form, we can start by converting the complex number 5 - 5i into polar form.

The magnitude (r) of the complex number can be found using the equation r = √(a^2 + b^2), where a is the real part and b is the imaginary part. In this case, the magnitude is √(5^2 + (-5)^2) = √(25 + 25) = √50.

To find the argument (θ), we can use the equation θ = tan^(-1)(b/a), where b is the imaginary part and a is the real part. In this case, the argument is tan^(-1)(-5/5) = tan^(-1)(-1) = -π/4.

Therefore, the complex number 5 - 5i in polar form is represented as √50cis(-π/4).

To find the solutions to x^3 = 5 - 5i, we can take the cube root of both sides of the equation. Using De Moivre's Theorem, we can express the cube root of the complex number in polar form as the cube root of the magnitude raised to the power of 3, and the argument divided by 3.

Therefore, the solutions to x^3 = 5 - 5i in polar form are:

a. √50cis(-π/12)

e. √50cis(4π/3)

i. √50cis(5π/12)

Answer:

[tex] \sqrt[6 ]{50} cis( \frac{7\pi}{12} ) \sqrt[6]{50} cis( \frac{23\pi}{12} ) \sqrt[6]{50} cis( \frac{5\pi}{4} )[/tex]