In the figure below, parallelogram ABCD was
translated to parallelogram A'B'C'D'.

How many units and in which direction were
the x-coordinates of parallelogram ABCD
moved?

A. Left 3
B. Right 3
C. Left 7
D. Right 7

Answer:

45

Step-by-step explanation:

We can divide

65 divided by 13.

65 divided by 13 is 5.

Now we mutliply that 5 to the 9.

9 times 5 is 45.

Answer:

the set of parametric equation would be x(t) = 0.25t, y = 0.43t

Step-by-step explanation:

The computation of the set of parametric equation would be

x(t) = 0.5 cos 60 degrees t , y = 0.5 sin 60 degrees t

x(t) = 0.5 × 0.5t , y = 0.5 × 0.866 t

x(t) = 0.25t, y = 0.43t

Hence the set of parametric equation would be x(t) = 0.25t, y = 0.43t

The same is to be considered

The above equation represents the answer

For the entire practice:

1) B, \(x(t)=0.25t\) and \(y(t)=0.43t\)

2) B, 4 ft.

3) A, \(x=27.82\), \(y=-4.9t^2+11.24t\), horizontal distance = 63.71 m

Answer:

16.) 35%

17.) 56%

18.) 5%

Step-by-step explanation:

Look at the denominator. How many times does it go into 100? For example, for the first one, 20 goes 5 times into 100. So I would multiply 7 and 5, and I would get 35.

Answer:

$49

Step-by-step explanation:

78 - 29 = 49

To get 49, I subtracted 29 from 78.

Answer:

32

Step-by-step explanation:

2x^2+4x-2=0

we have a=2 b=4 and c= -2

then

the discriminant(d) of a quadratic trinomial is d=b^2 - 4ac

so

d=b^2-4ac

d= (4)^2-4(2)-(-2) or d=16+16 or d=32

so the discriminant value of the given trinomial is 32.

Answer:

thanks for the help

Step-by-step explanation:

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

Number of hours Sonja practiced- n + 3 =11

Number of hours Jasper practiced- n - 2 = 6

Number of hours Willow practiced- 2n = 16

Step-by-step explanation:

hope that helps

An equation in slope-intercept form that contains the point (-7, 2) and is parallel to the line -x + 3y = 1 is y = (1/3)x + 7/3.

What is the slope-intercept form?

The slope-intercept form is a way of writing the equation of a line in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find an equation of the line parallel to the given line and passing through the point (-7, 2), we need to first find the slope of the given line.

-x + 3y = 1

Add x to both sides:

3y = x + 1

Divide both sides by 3:

y = (1/3)x + 1/3

The slope of the given line is 1/3.

Since the line we want is parallel to this line, it must have the same slope.

So we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Plugging in the values we have:

y - 2 = (1/3)(x + 7)

To get the equation in slope-intercept form, we can solve for y:

y = (1/3)x + 7/3

Therefore, an equation in slope-intercept form that contains the point (-7, 2) and is parallel to the line -x + 3y = 1 is y = (1/3)x + 7/3.

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Answer:

120 degress

Step-by-step explanation:

Answer:

The point on the graph that is closest to the point (8, 1.5) is:

\(\left(\sqrt[3]{4}, 2 \sqrt[3]{2}+1\right) \approx \left(1.587,3.520)\)

Step-by-step explanation:

To find the point on the graph of y = x² + 1 that is closest to the point (8, 1.5), we need to find the point on the parabola that is at the shortest distance from (8, 1.5). We can use the distance formula to do this.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}\)

Any point (x, y) on the parabola y = x² + 1 can be defined as (x, x²+1).

Therefore:

Substitute these points into the distance formula to create an equation for the distance between any point on the parabola and (8, 1.5):

\(d = \sqrt{(x - 8)^2 + (x^2+1 - 1.5)^2}\)

Simplifying this expression for d², we get:

\(d = \sqrt{(x - 8)^2 + (x^2-0.5)^2}\)

\(d^2 = (x - 8)^2 + (x^2-0.5)^2\)

\(d^2 = x^2-16x+64 + x^4-x^2+0.25\)

\(d^2=x^4-16x+64.25\)

To find the x-coordinate that will minimize this distance, take the derivative of the expression with respect to x, set it equal to zero and solve for x:

\(\implies 2d \dfrac{\text{d}d}{\text{d}{x}}=4x^3-16\)

\(\implies \dfrac{\text{d}d}{\text{d}{x}}=\dfrac{4x^3-16}{2d}\)

Set it equal to zero and solve for x:

\(\implies \dfrac{4x^3-16}{2d}=0\)

\(\implies 4x^3-16=0\)

\(\implies 4x^3=16\)

\(\implies x^3=4\)

\(\implies x=\sqrt[3]{4}\)

Finally, to find the y-coordinate of the point on the graph that is closest to the point (8, 1.5), substitute the found value of x into the equation of the parabola:

\(\implies y=\left(\sqrt[3]{4}\right)^2+1\)

\(\implies y=\sqrt[3]{4^2}+1\)

\(\implies y=\sqrt[3]{16}+1\)

\(\implies y=\sqrt[3]{2^3 \cdot 2}+1\)

\(\implies y=\sqrt[3]{2^3} \sqrt[3]{2}+1\)

\(\implies y=2 \sqrt[3]{2}+1\)

Therefore, the point on the graph that is closest to the point (8, 1.5) is:

\(\left(\sqrt[3]{4}, 2 \sqrt[3]{2}+1\right) \approx \left(1.587,3.520)\)

Additional information

To find the minimum distance between the point on the graph and (8, 1.5), substitute x = ∛4 into the distance equation:

\(\implies d = \sqrt{(\sqrt[3]{4} - 8)^2 + ((\sqrt[3]{4})^2-0.5)^2}\)

\(\implies d = 6.72318283...\)

Answer:

8m ×3.5m

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W meters respectively.

Area of rectangle= LW

LW= 28 -----(1)

L= 2W +1 -----(2)

Subst. (2) into (1):

(2W +1)(W)= 28

Expand:

2W² +W= 28

-28 on both sides:

2W² +W -28= 0

Factorise:

(W +4)(2W -7)= 0

W +4=0 or 2W -7=0

W= -4 (reject) or W= 3.5

Substitute W= 3.5 into (2):

L= 2(3.5) +1

L= 7 +1

L= 8

∴ The dimensions of the rectangle is 8m ×3.5m.

The answer is D) AABC is translated 1 unit right, then rotated 90° clockwise about the origin

If you follow the steps translating triangle ABC to A"B"C" and rotating it. You will get that answer. I can envision it mentally simply by following one coordinate at a time which can help me during tests and is how the translations work.

For instance if you moved the A coordinate 2 units to the right it would sit on the y axis, and when rotated 90 degrees wouldn't 1 unit above the x axis but on it. You can simply use mental math for questions like this because they are simple enough to follow where you just pick a coordinate and do the translating and dilating based on what you are given.

Sorry if it's not a mathematical explanation but it's how I usually solve these questions! Hope I could help!!
~Neo

The Sequence of Transformation that has been applied is; D. AABC is translated 1 unit right, then rotated 90° clockwise about the origin.

From triangle translation of ABC to A"B"C" and rotation of it, we can see that;

If we moved the A coordinate 2 units to the right it would sit on the y axis, but when rotated 90°, it would be 1 unit on the x axis.

Thus, applying the principe of translation and rotation we can say that AABC is translated 1 unit right, then rotated 90° clockwise about

the origin.

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Answer:

$2400

Step-by-step explanation:

as you realize, it is going down by $400 per year

6000, 5600, 5200, 4800, 4400, 4000, 3600, 3200, 2800, 2400
1.         2.          3.       4.       5.         6.         7.        8.      9.         10

it would be $2400

Answer: 5.08

Step-by-step explanation: you have to convert it to an improper fraction

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Distance between Brad and bombs falling location we need

Base be B

Apply Pythagorean theorem

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer: 25.5% of 237 rounded to the nearest tenth is 60.4

,  Hope this helps :)

Have a great day!!

From the coordinates we can see the rule for this transformation:

This is a rotation by 180 degrees and translation 5 units down, therefore shape or size remain as is. So this is a congruence transformation.

Answer:

Rotation of 180° about the origin (0, 0) followed by a translation of 5 units down.

Congruence transformation.

Step-by-step explanation:

Given vertices of ΔPQR:

Given vertices of ΔSTU:

From observation, the mapping rule the transforms ΔPQR to ΔSTU is:

Rotation of 180° about the origin (0, 0) followed by a translation of 5 units down.

This is a congruence transformation as the two triangles have the same shape and same size.

Answer: It is a reflection of Reflections of You (second location) in the x-axis.

Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.

The correct answer is:

   It is a reflection of Reflections of You (second location) in the x-axis.

The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.

The scale factor is 1/3.

What is the scale factor?

The difference in scale between an original object's scale and a new object that is its representation but is larger or smaller is known as a scale factor. For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Here, we have

Given: Triangle D has been dilated to create triangle D′.

To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:

4.8 / 1.6 = 3

4.2 / 1.4 = 3

2.7 / x = 3

Knowing that the scaling for each edge is 3, we can solve for x.

2.7 / 3 = x

0.9 = x

The edges for D are 4.8, 4.2, and 2.7 respectively to D’ scaled by 1/3. So we can determine that the edges for D’ are 1.6, 1.4, and 0.9 respectively to D scaled by 3.

So if we go D’ to D, we scale by 3. If we go D to D’, we scale by 1/3.

Hence, the scale factor is 1/3.

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Answer:

ok

Step-by-step explanation:

ok fjFjxggkgclclcchlclcullcucuclcvuullulj

Answer:

5/12

Step-by-step explanation:

sorry if wrong

it wants more words don't read

Thisbis a general geometric progression

So iterative formula

Answer:

\(a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}\)

Step-by-step explanation:

Given:

\(\begin{cases}a_1=9\\a_n=\frac{2}{3}(a_n-1)\end{cases}\)

General form of a geometric sequence:

\(a_n=ar^{n-1}\)

where:

Therefore:

Substitute the given values into the general formula:

\(\implies a_n=9 \cdot \left(\frac{2}{3}\right)^{n-1}\)

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Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Answer:

54 blocks in 18 min

Step-by-step explanation:

3 blocks per min

3x18=54 ur welcome hope this helps

Using linear functions, we have that:

A linear function is modeled according to the following rule:

y = mx + b

In which:

The mid-point of a segment divides a segment into two segments of equal length, hence the coordinates of C are found as follows, considering the midpoint B:

The line y = x + 1 passes through C, hence:

-12 - m = 2n - 2 + 1

2n + m = -11.

m = -11 - 2n.

The line is perpendicular to AB, meaning that the multiplication of their slopes is of -1, hence:

(m + 6)/(2 - n) x 1 = -1

m + 6 = n + 2.

Replacing m = -11 - 2n on the second equation:

-11 - 2n + 6 = n + 2

3n = -3

n = -1.

m = -11 - 2(-1) = -9.

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