Find the coordinates of the vertices of the figure after the given transformation.

translation: (x, y)→(x + 1, y - 1)
Responses
A N'(0, -2), F'(4, 2), Q'(4, -2)N'(0, -2), F'(4, 2), Q'(4, -2)
B N'(-1, 1), F'(3, -3), Q'(3, 1)N'(-1, 1), F'(3, -3), Q'(3, 1)
C N'(0, -1), F'(4, 3), Q'(4, -1)N'(0, -1), F'(4, 3), Q'(4, -1)
D N'(0, -5), F'(4, -1), Q'(4, -5)N'(0, -5), F'(4, -1), Q'(4, -5)
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Answer:

Step-by-step explanation:

slope = (y2-y1) ÷ (x2-x1)

    = ((-7)-(-19)) ÷ ((-2) - (1))

    = 12 ÷ -3

 m  = -4

Answer:

If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.

In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75

Here is the math I did to get 0.75:

= 30.5 - 29.75

= 30.5 + -29.75

= 0.75 (Answer)

Hopefully this helped :D

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

[tex] \sqrt{11x + 5} = 7 [/tex]

Square both sides. This step may introduce extraneous solutions, but we will deal with that after we find the solution.

[tex] (\sqrt{11x + 5})^2 = (7)^2 [/tex]

[tex] 11x + 5 = 49 [/tex]

Subtract 5 from both sides.

[tex] 11x = 44 [/tex]

Divide both sides by 11.

[tex] x = 4 [/tex]

Now we check for extraneous solutions. We substitute the value of the solution into the original equation, and we see if it makes the original equation true.

[tex] x = 4 [/tex]

[tex] \sqrt{11x + 5} = 7 [/tex]

[tex] \sqrt{11(4) + 5} = 7 [/tex]

[tex] \sqrt{44 + 5} = 7 [/tex]

[tex] \sqrt{49} = 7 [/tex]

[tex] 7 = 7 [/tex]

7 = 7 is a true equation; therefore, our solution, x = 4, is not an extraneous solution and is the correct solution of the given equation.

Answer: x = 4

Answer:

C. 6

Step-by-step explanation:

$20 - $13 + $2 - $8 + $5 =

= $7 + $2 - $8 + $5

= $9 - $8 + $5

= $1 + 5

= $6

Answer:

kundi laga lo saiyan!!!

Dot plots are used for continuous, quantitative, and univariate data, because they are helpful in identifying clusters and gaps, in addition to outliers, which is one of their primary functions.

This is further explained below.

Generally, Dot plots are used for continuous, quantitative, univariate data. It could be possible to identify the data points if there are just a few of them.

Dot plots are one of the most fundamental forms of statistical plots, and they are most beneficial when used in the presentation of data from collections ranging from extremely tiny to relatively large.

In conclusion, In addition to performing one of their core purposes, which is spotting outliers, they also do a good job of locating clusters and gaps in the data.

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Answer:

x = five over two and x = −3

Step-by-step explanation:

Let's solve your equation step-by-step.

2x2+x=15

Step 1: Subtract 15 from both sides.

2x2+x−15=15−15

2x2+x−15=0

Step 2: Factor left side of equation.

(2x−5)(x+3)=0

Step 3: Set factors equal to 0.

2x−5=0 or x+3=0

x=5/2 or x=−3

Using the given linear function, it is found that:

a) The initial height of the balloon is of 6 feet, as before the balloon was released t = 0 and h(0) = 6.

b) The values of t must be greater than or equal to 0, because a negative time does not does not make sense for the given situation. The graph would start at the origin and would only go to the right, in a positive direction.

A linear function is modeled by:

y = mx + b

In which:

For this problem, the linear function is:

h(t) = 2t + 6.

From the y-intercept, it is found that:

The initial height of the balloon is of 6 feet, as before the balloon was released t = 0 and h(0) = 6.

Since time cannot be negative, the domain is t ≥ 0, and:

The values of t must be greater than or equal to 0, because a negative time does not does not make sense for the given situation. The graph would start at the origin and would only go to the right, in a positive direction.

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The measure of angle c is 37 degrees and the measure of angle b is 53 degrees

Angles are formed when two or more lines intersect.

This in other words means that angles is the measure of space between the intersection of rays or lines

The measure of angle c

The given triangles are similar triangles

This means that the corresponding angles of the triangles are congruent

By comparing the corresponding angles of the given triangles, we have the following congruent equation

Angle c = 37

Hence, the measure of angle c is 37 degrees

The measure of angle b

As mentioned in part (a)

This means that the corresponding angles of the triangles are congruent

By comparing the corresponding angles of the three triangles, we have the following congruent equation

Angle b = 53

Hence, the measure of angle b is 53 degrees

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Answer:

The equation in slope intercept form of the line that is parallel to the group in each equation and passes through the given point (3,-7) is y = -2/7x - 6.14

Step-by-step explanation:

It is given that the line that is parallel to the group in each equation and passes through the given point 7y= -2x + 5; (3,-7) and we need to write the equation in slope intercept form of the same line.

Now,

The slope of parallel lines is the same. By changing the equation to slope-intercept form, get the slope in the first line;

=> 7y= -2x + 5

=> y= -2/7x + 5/7

So, the slope = -2/7

Further,

Given the point and the knowledge that the second line would similarly have a slope of -2/7 and the point is (3, -7). With these numbers, we can construct an equation in the slope-intercept form and apply it to get the y-intercept;

=> y = mx + b

=> -7 = -2/7 × 3 + b

=> -7 + 2/7 × 3 = b

=> b = -6.14

Now, put the value of y-intercept back into the equation;

=> y = -2/7x - 6.14

Therefore, the equation in slope intercept form of the line that is parallel to the group in each equation and passes through the given point (3,-7) is y = -2/7x - 6.14

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The water output rate for Bryant family is 40L/hr and parkar family is sprinkler 20L/hr.

As in the given problem The Bryant family's sprinkler was used for 25 hours. let water output rate of bryant family is x L/hour.Thus total water output is 25*x L.

The Parker family's sprinkler was used for 40 hours.let water output rate of parker family is y L/hr.Total water output is 40*y L.

Thus 25*x+40*y=1800

and x+y=60

25x+25y=1500

solving linear equation we get  y=20 L/hr

Thus x=60-20=40 L/hr.

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Month Balance    Finance Charge  New Balance    Minimum Payment

1            $325                  $4.06                  $316.06              $13.00

2           $316.06                 $3.95                 $307.37              $12.64

3           $298.92                 $3.84                  $298.92             $12.29

What is effective monthly interest rate to be used in determining the finance charge?

The effective monthly interest rate is determined as the annual interest rate of 14.99% divided by 12 months

effective monthly interest rate=14.99%/12

effective monthly interest rate=0.0124916666666667

Month 1:

finance charge=$325*0.0124916666666667

finance charge=$4.06

minimum payment=$325*4%=$13.00

new balance=$325+$4.06-$13.00

new balance=$316.06

Month 2:

finance charge=$316.06*0.0124916666666667

finance charge=$3.95

minimum payment=$316.06*4%=$12.64

new balance=$316.06+$3.95-$12.64

new balance=$307.37

Month 3:

finance charge=$307.37*0.0124916666666667

finance charge=$3.84

minimum payment=$307.37*4%=$12.29

new balance=$307.37+$3.84-$12.29

new balance=$298.92

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Answer:

[tex]r=\sqrt[3]{\frac{9V}{\pi}}[/tex]

Step-by-step explanation:

[tex]r=3h \implies h=r/3 \\ \\ V=\frac{1}{3}\pi r^2(r/3) \\ \\ =\frac{\pi}{9} r^3 \\ \\ \frac{9V}{\pi}=r^3 \\ \\ r=\sqrt[3]{\frac{9V}{\pi}}[/tex]

Answer:

15

Step-by-step explanation:

because it's diving the 2nd role number and that equals the numbers on the 3rd role so u do the inverse and u get 15

Answer:

its true, true, false, false

Step-by-step explanation:

a is true b is true c is false and d is false

Answer: When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Step-by-step explanation: im bad at explaining XD

Answer:

Multiply!

Step-by-step explanation:

When going by the metric system you multiply because, dividing would make you go smaller!

Have a great afternoon! :D

Given data,

First take work sheet 4.

Based on the given conditions formulate :

                  = [tex]\sqrt{16}[/tex]

Factor and rewrite the radicand in exponential form,

                 = [tex]\sqrt{4^{2} }[/tex]

Simplify the radical form,

                = 4

Therefore,         [tex]\sqrt{16} = 4[/tex]

Based on the given conditions formulate :

          = [tex]\sqrt{49}[/tex]

Factor and rewrite the radicand in exponential form,

           = [tex]\sqrt{7^{2} }[/tex]

Simplify the radical form,

          = 7

Therefore,      [tex]\sqrt{49} = 7[/tex]

Factor and rewrite the radicand in exponential form,

                 = [tex]\sqrt{5^{2} }[/tex]

Simplify the radical form,

                  = 5

Therefore,         [tex]\sqrt{25} = 5[/tex]

Factor and rewrite the radicand in exponential form,

              = [tex]\sqrt{12^{2} }[/tex]

Simplify the radical form,

              = 12

Therefore,          [tex]\sqrt{144} = 12[/tex]

Factor and rewrite the radicand in exponential form,

               = [tex]\sqrt{10^{2} } +\sqrt{7^{2} }[/tex]

Simplify the radical form,

               = 10+7

               = 17

Therefore,    [tex]\sqrt{100} +\sqrt{49} = 17[/tex]

Factor and rewrite the radicand in exponential form,

                = [tex]\sqrt{14^{2} }[/tex]

Simplify the radical form,

                = 14

Therefore,        [tex]\sqrt{196} = 14[/tex]

Factor and rewrite the radicand in exponential form,

                     = [tex]3^{2}[/tex] x [tex]\sqrt{11^{2} }[/tex]

Simplify the radical form,

                     = 9 x 11

                     = 99

Therefore,         [tex]3^{2}[/tex] x [tex]\sqrt{121} = 99[/tex]

Factor and rewrite the radicand in exponential form,

               = [tex]\sqrt{13^{2} }[/tex] x [tex]\sqrt{6^{2} }[/tex]

Simplify the radical form,

                 = 13 x 6

                 = 78

Therefore,      [tex]\sqrt{169}[/tex] x [tex]\sqrt{36} = 78[/tex]

Factor and rewrite the radicand in exponential form,

             = [tex]\sqrt{4^{2} }[/tex] x [tex]\sqrt{5^{2} }[/tex]

Simplify the radical form,

             = 4 x 5

             = 20

Therefore,     [tex]\sqrt{16}[/tex] x [tex]\sqrt{25}[/tex] = 20

Given data,

First take work sheet 5.

Therefore,

                     [tex]\sqrt{400} = 20[/tex]

Therefore,

                     [tex]\sqrt{2500} = 50[/tex]

Therefore,

                     [tex]\sqrt{6400} = 80[/tex]

Therefore,

                   [tex]\sqrt{900} = 30[/tex]

Hence,

              [tex]\sqrt{16} = 4\\\sqrt{49} = 7\\\sqrt{25} = 5\\\sqrt{144} = 12\\\sqrt{100} + \sqrt{49} = 17\\\sqrt{196} = 14\\[/tex]

               [tex]3^{2}[/tex] x [tex]\sqrt{121}[/tex] = 99

             [tex]\sqrt{169}[/tex] x [tex]\sqrt{36}[/tex] = 78

              [tex]\sqrt{16}[/tex] x [tex]\sqrt{25}[/tex] = 20

                 [tex]\sqrt{400} = 20\\\sqrt{2500} = 50\\\sqrt{6400} = 80\\\sqrt{900} = 30[/tex]

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The transformations that maps Figure Y onto Figure Z are given by:

A transformation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x).

Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

Another example of a transformation is a dilation, when the coordinates of the function are all multiplied by a constant, called scale factor. Due to the multiplication, after a dilation, the dilated figure is not congruent to the original figure, as they will have different side lengths.

For the dashed figure, we have that the coordinates of Y were all multiplied by 1/3, hence the first transformation is:

Dilation with a scale factor of 1/3.

Then for the dashed figure into Figure Z, the following rule is applied to each vertex:

(x,y) -> (x,-y).

Hence the second transformation is:

Reflection over the x-axis.

Due to the dilation, Figures Y and Z are not congruent.

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Answer:

11,250

Step-by-step explanation:

In order to find the total population just divide 4500 by 40%

[tex] = \sf \: 4500 \div \frac{40}{100} [/tex]

[tex] = \sf \: 4500 \times \frac{100}{40} [/tex]

[tex] = \sf \frac{450000}{40} [/tex]

[tex] = \sf \: 11,250[/tex]

Answer:

linear equations option a

The number of significant digits: 2

The correct answer is an option (A)

In this question, we have been given three numbers 4.5160 x 10^−3, 2.09 x 10^7, and 5.8 x 10^3

We need to find the number of significant digits of the product of above numbers.

First we find the product of given numbers.

4.5160 x 10^−3 × 2.09 x 10^7 × 5.8 x 10^3

= (4.5160 × 2.09 ×  5.8) × (10^−3 × 10^7 × 10^3)

= 54.742952 × 10^(-3 + 7 + 3)

= 54.7 × 10^7

= 5.5 × 10^8

Here, the number of significant digits: 2

The correct answer is an option (A)

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Answer: f-1(x) = 1/3x.

Step-by-step explanation:

The inverse of y = 3x is f-1(x) = 1/3x.


To find the inverse, interchange the variables and solve for y

f ^− 1 (x) = In(x)/In(3)
                 

Answer: AED and BEC are isosceles triangles

Definition: A quadrilateral having two and only two sides parallel is called a trapezoid.

Formula: distance between two points =√(x1-x2)^2-(y1-y2)^2

Given,

ABCD is a trapezoid

AC and BD are diagonals

E is the intersection of two diagonals

A(0,0), B(3,3), C(9,3), D(12,0), E(6,2)

distance between BE=√10

distance between CE=√10

BE=CE

Similarly, AE=DE

Therefore, AED and BEC are isosceles triangles

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Answer:

O commutative property of multiplication

Step-by-step explanation:

Let's solve for x.

26(4xy)=(26)(4)xy

Step 1: Add -104xy to both sides.

104xy+−104xy=104xy+−104xy

0=0

It doesn't matter what order the numbers are multiplied in (commutative property), the result of multiplying 0 by anything (or anything by 0) is 0. No matter the type of number, whether it be an integer, fraction, decimal, or even imaginary, the product of that number and 0 is 0.

Answer:

[tex]\sf 22\dfrac{1}{2}\; years[/tex]

Step-by-step explanation:

[tex]\textsf{First convert all mixed fractions to improper fractions: }\\\\3\dfrac{2}{3} = \dfrac{3 \times 3 + 2}{3}= \dfrac{11}{3}\\\\18\dfrac{5}{6 } = \dfrac{18 \times 6 + 5}{6} = \dfrac{113}{6}[/tex]

Let Carlo's age be C

Carlo's age = sister's age + 11/3

[tex]\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\[/tex]

[tex]\sf == > C = \dfrac{113}{6} +\dfrac {11}{3}\\\\\textsf{Multiply both sides by 6 to eliminate the denominator}\\\\\sf 6C = 6\cdot\dfrac{113}{6} + 6\cdot\dfrac {11}{3}\\\\\sf 6C = 113 + 22 = 135\\[/tex]

[tex]\textsf {Divide both sides by 6}\\\\\sf C = \dfrac{135}{6} \\\\\textsf {Reduce $\dfrac{135}{6}$ by dividing numerator and denominator by 3}\\\\== > C = \dfrac{135 \div 3}{6\div3} = \dfrac{45}{2}[/tex]

[tex]\textsf{So Carlo's age is $\dfrac{45}{2}$ or $22\dfrac{1}{2}$ years}[/tex]

Answer: an=21-4n

Step-by-step explanation:

17, 13, 9, 5, ...

13-17=-4

9-13=-4

5-9=-4

This sequence is an arithmetic progression a₁=17    d=-4

Hence,

[tex]a_n= a_1+(n-1)d\\\\a_n=17+(n-1)(-4)\\\\a_n=17-4n+4\\\\a_n=21-4n,\ \ \ \ n=1, 2, 3, 4, ...[/tex]

The coordinates of the vertex of the parabola are (-1, -9)

From the question, we are to determine the coordinates of the vertex of the parabola

The vertex of a parabola is the point where the parabola crosses its axis of symmetry.

In the given graph, the axis of symmetry is x = -1

Thus,

The vertex of the parabola in the given graph is the point where x = -1 on the curve

At this point on the parabola, x = -1 and y = -9.

Hence, the coordinates of the vertex of the parabola are (-1, -9)

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Answer:

1/(2 – 4i)

Explanation:

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