Image point B'(4, -8) was transformed using the translation (x - 2, y + 3). What were the coordinates of B?
(2, -5)
(6, -5)
(2, -11)
(6, -11)

Answer: c) (11,-2)

Step-by-step explanation:

The formula for calculate a midpoint is:

[tex]M=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

You know that R is the midpoint of segment PS and P is located at (8,10), and S is located at (12,-6). Then you can substitute these coordinates into the formula to find the coordinates of the midpoint R:

 [tex]M_{R}=(\frac{12+8}{2}, \frac{10+(-6)}{2})=(10,2)[/tex]

Now, knowing the coordinates of R and S, you can substitute them into the formula to find the coordinates of the midpoint Q of segment RS. Then:

[tex]M_{Q}=(\frac{10+12}{2}, \frac{2+(-6)}{2})=(11,-2)[/tex]

The option c is correct. The final coordinates of Q are (11, -2).

To find the coordinates of Q, we need to follow a step-by-step process, starting from the given points of P and S.

Step 1: Find the coordinates of R

R is the midpoint of segment PS. Given P(8,10) and S(12,-6), the midpoint formula is:

Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)

So, [tex]R = ((8 + 12)\div2, (10 + (-6))\div2) = (20\div2, 4\div2) = (10, 2)[/tex]

Step 2: Find the coordinates of Q

Q is the midpoint of segment RS. Given R(10,2) and S(12,-6), we apply the midpoint formula again:

[tex]Q = ((10 + 12)\div2, (2 + (-6))\div2) = (22\div2, -4\div2) = (11, -2)[/tex]

Final Coordinates:

Thus, the coordinates of Q are (11, -2). The correct answer is: (c) (11,-2)

I guess it’s the second one because only in the second the x value is giving the respective y value

Answer:

B. 2x + y -8 = 0

Step-by-step explanation:

2x + y -8 = 0

2x - 8 = -y

Divide both sides by negative one

-2x + 8 = y

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -2 and the y-intercept b = 8. Substitute:

[tex]y=-2x+8[/tex]

The general form of an equation of a line:

[tex]Ax+By+C=0[/tex]

Convert:

[tex]y=-2x+8[/tex]              add 2x to both sides

[tex]2x+y=8[/tex]              subtract 8 from both sides

[tex]2x+y-8=0[/tex]

Answer:

88 inches

Step-by-step explanation:

Diameter is 2 times the radius (r) so divided 28 by 2 to get 14 as the radius.

Plug this in:

2π14

28π

87.964

88

The answer is 88 btw

Answer:

Actually it does relate to sin, cos and tan.

* tan50° = 16/b

=> b = 16/tan50° ≈ 13.426

* sin50° = 16/c

=> c = 16/sin50° ≈ 20.887

*cos∠B = 16/c = 16/20.887

=> m∠B ≈ 40.002

Step-by-step explanation:

8*8=64

4S=64

S=16

white = 6S = 96 ft²

Blue = 6S = 96 ft²

Turkeyy :))

The area of the figure will be 96 square feet.  Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A composite figure has three congruent triangles removed from it.

Then the area of the figure will be

Area = 3 x area of square + 3 x area of triangle

Area = 3 x 8 x 8 - 3 x 1/2 x 8 x 8

Area = 192 - 96

Area = 96 square feet

The area of the figure will be 96 square feet.

Then the correct option is A.

More about the geometry link is given below.

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Answer:

7,366,327.50 pascals

Step-by-step explanation:

we know that

1 atm= 101,325 pascals

we have

72.7 am

Convert to pascals

72.7 atm=72.7*101,325=7,366,327.50 pascals

Answer:

31.41ft

Step-by-step explanation:

the area A of a circle is πr² = 78.5 square feet

3.1416* r² = 78.5

r² =78.5/3.1416 =  24.987

r = √24.987 = 4.999ft

the circumference C of a circle is 2πr

C = 2* 3.1416 * 4.999 = 31.41ft

(180-30)/2 would be the equation and the answer is 150/2

The value of x (the perpendicular side) in the given right triangle is approximately 21.2137.

In a right triangle with a 45° angle, we can use the trigonometric function sine (sin) to find the value of the perpendicular side (x) when the hypotenuse is given.

sin(angle) = opposite / hypotenuse

Here the angle is 45°, and the hypotenuse is 30.

Therefore, we can write the equation as:

sin(45°) = x / 30

To solve for x, we can rearrange the equation:

x = sin(45°) × 30

Using the value of sin(45°) = 0.7071 (approximately), we can calculate x:

x = 0.7071 × 30

x = 21.2137

Therefore, the value of x (the perpendicular side) in the given right triangle is approximately 21.2137.

Learn more about Trigonometric functions here:

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Answer:

1:7 2:9

Step-by-step explanation:

Answer:

Step-by-step explanation:

\frac{27}{40}  in a decimal is 0.675

I’ve attached a picture of my work!!

the 0 are 2, 3 and -6. ....

Answer:

Given function,

[tex]f(x)=(x^4-16)(x^2+3x-18)[/tex]

[tex]=((x^2)^2-(4)^2)(x^2+(6-3)x-18)[/tex]

[tex]=(x^2-4)(x^2+4)(x^2+6x-3x-18)[/tex]

[tex]=(x-2)(x+2)(x^2-(2i)^2)(x(x+6)-3(x+6))[/tex]

[tex]=(x-2)(x+2)(x+2i)(x-2i)(x-3)(x+6)[/tex]

For zeros of function f(x),

f(x) = 0

[tex]\implies (x-2)(x+2)(x+2i)(x-2i)(x-3)(x+6)=0[/tex]

By zero product property,

We get,

x = 2, -2, -2i, 2i, 3, -6

Hence, the real roots of f(x) are 2, -2, 3, -6.

Also, the roots lie at the point where a function intersects the x-axis.

Hence, the positions of the roots of f(x) in the graph are ,

(2, 0), (-2, 0), (3, 0) and (-6, 0)

Explanation:

5x+5x=10x

Answer is 10x( D).

The expression (5x + 5x) is equivalent to....

10x

The answer would be D

Hope this helps!

It’s c

Step-by-step explanation:

I did it

Answer:

It's C

Step-by-step explanation:

So I went to Brainly to get answers too but I couldn't find any. I guessed and got it right on edge2022

Answer:

see explanation

Step-by-step explanation:

4

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute in values )

[tex]\frac{x-1}{18}[/tex] = [tex]\frac{4}{12}[/tex] ( cross- multiply )

12(x - 1) = 72 ( divide both sides by 12 )

x - 1 = 6 ( add 1 to both sides )

x = 7

------------------------------------------------------------------------------

5

The parallel line segment SV is half of RW

that is x = 7.5

SV also divides the sides RT and WT in proportion, that is

[tex]\frac{10}{3}[/tex] = [tex]\frac{8}{y}[/tex] ( cross- multiply )

10y = 24 ( divide both sides by 10 )

y = 2.4

Answer:

Step-by-step explanation:

|a| = a for a ≥ 0

|a| = -a for a < 0

therefore

|-4.5| = -(-4.5) = 4.5

Answer:

4.5

Step-by-step explanation:

usually if you are finding absolute value for a negative number, it is usually the opposite of that negative number.

If I am trying to find absolute value for -7 it would be 7.

Answer: 150 degrees

Reason: Vertically opposite angles are similar

(When two straight lines form an X when crossing over one another, an angle and the angle on the opposite side of the X are the same)

The measure of angle 8 is 150 degrees.

Opposite angles are angles that are found opposite each other. They are formed when two lines intersect. The value of a pair of opposite angles is equal.

It is given that angle 5 is equal to 150 degrees.

The image is also provided.

We can see that angles 5 and 8 are opposite angles.

We know that opposite angles have equal measures.

This means that the measure of angle 8 is the same as angle 5.

The measure of angle 5 is 150 degrees. Therefore, the measure of angle 8 is also 150 degrees.

We have found that the measure of angle 8 is the same as angle 5 which is 150 degrees since they are opposite angles.

Therefore, we have found that the measure of angle 8 is 150 degrees.

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Use trigonometry.

cos(18°) = x/25

Multiply both sides by 25.

cos(18°)25 = x

23.7764129074 = x

We round off to the nearest hundredth. This means to round off to two decimal places.

Doing so, we get 23,78 cm = x.

Answer:

45 years

Step-by-step explanation:

First, lets break the problem down, step-by-step.

Jeremy's age can be represented using the varibale, j.

His father's age is 53, or 11 less than j squared.

Jeremy's father's age can be represented using the following equation:

j^2 - 11 = 53

Now, solve for j.

j^2 - 11 = 53

j^2 = 64

j = 8

That means Jeremy is 8 years old. Now, find the difference between his age and his father's age.

53 - 8 = 45.

So, Jeremy's father is 45 years older than his son.

I hope this helps! :)

To find how many years older Jeremy’s father is than Jeremy, we determined that Jeremy is 8 years old and his father is 45 years older than him. We did this by solving the equation derived from the problem statement. Thus, Jeremy's father is 45 years older than Jeremy.

To solve the problem, let's denote Jeremy's age by x. According to the problem, Jeremy’s father’s age is 11 less than Jeremy’s age squared. The given information states that Jeremy’s father is 53 years old.

We can write this as an equation:

[tex]x^2 - 11 = 53[/tex]

[tex]x^2 = 53 + 11[/tex]

[tex]x^2 = 64[/tex]

Taking the square root of both sides, we get:

x = 8

So, Jeremy is 8 years old. Now, to determine how many years older Jeremy’s father is than Jeremy:

53 (father's age) - 8 (Jeremy's age) = 45

Thus, Jeremy’s father is 45 years older than Jeremy.

Answer:

Step-by-step explanation:

Multiply the first bracket by 13

Multiply the second bracket by -4

13(6-x)-4(3x+12)=0

78-13x-12x-48=0

30-25x=0

-25x+30-30=0-30

-25x=-30

Divide by -25 for -25x and-30

x=30/25 reducing: 6/5= 1 1/5

Answer can be 30/25 or 6/5 or 1 1/5

Answer:

x = 12z + 1  and y = 10z - 1

Step-by-step explanation:

To solve the system of equations, we can use the substitution method

If we call

3x - 4y + 4z = 7 I

x - y - 2z = 2 II

2x - 3y + 6z = 5 III

Clearing II  x = 2 + y + 2z

Now, replacing II in III

2(2 + y + 2z) - 3y +6z = 5

4 + 2y + 4z - 3y + 6z = 5

10z - y = 1 from here y = 10z - 1

Finally, replacing y in I

3x - 4(10z - 1) + 4z = 7

3x -40z + 4 + 4z = 7

3x - 36z = 3

3x = 36z + 3

x = 12z + 1

Done

Answer:1 1/4+2 1/6+1 1/3+3=12.916_

12.916/93=.13888172 dollars an hour.

.13888172(h)=m

Step-by-step explanation:i converted to decimals but its still the same

Hannah worked for a total of 7 11/12 hours and earned $93. She charges approximately $12 per hour, so the equation for the amount she earns is m = 12H.

To find out how much Hannah charges per hour, we first need to find the total number of hours she worked. Adding up the hours given, Hannah worked 1 1/4 + 2 1/6 + 1 1/3 + 3 hours = 7 11/12 hours. Since Hannah earned $93 for these hours, we can set up the equation, m = 93 / (7 11/12), where m represents the money Hannah earns per hour, and H represents the total number of hours Hannah worked. Upon solving this equation, we find that Hannah charges approximately $12 per hour.

Therefore, the equation that can be used to determine the money Hannah earns from walking the dogs is m = 12H.

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Answer:

The volume is equal to [tex]98,470.4\ cm^{3}[/tex]

Step-by-step explanation:

step 1

Find the radius of the base of cylinder

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=87.92\ cm[/tex]

assume

[tex]\pi =3.14[/tex]

substitute and solve for r

[tex]87.92=2(3.14)r[/tex]

[tex]r=87.92/[2(3.14)]=14\ cm[/tex]

step 2

Find the volume of the water tank (cylinder)

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=14\ cm[/tex]

[tex]h=160\ cm[/tex]

assume

[tex]\pi =3.14[/tex]

substitute

[tex]V=(3.14)(14)^{2} (160)[/tex]

[tex]V=98,470.4\ cm^{3}[/tex]

Answer:

The answer is 98470.4

Step-by-step explanation:

Answer: -125p12z18u3

Reason:

Square negative five twice, so: -5 x -5 x -5 = -125

The first squaring is -5 x -5, which is 25. The second squaring is 25 x (-5), which is - 125.

When it comes to the letters, they act like they are being multiplied.

(p4)3 = p12

(z6)3 = z18

(u)3 = u3

So the answer is -125p12z18u3.

Hope this helps! :)

First you have to know the "power rule." This is when there is an exponent outside the parentheses and some/all of the variables/numbers in the parentheses have exponents as well. What you do is multiply the outer exponent with each of the exponents inside the parentheses.

[tex]((-5)^{1*3} p^{4*3} z^{6*3} u^{1*3} )[/tex]

[tex](-5)^{3}p^{12}z^{18}u^{3}[/tex]

[tex]-125p^{12}z^{18}u^{3}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

8n

Step-by-step explanation:

8 and n are factors of the product 8·n.

A correct option is option (a).

The functions factor is used to encode a vector as a factor (the terms ‘category’ and ‘enumerated type’ are also used for factors). If the argument ordered is TRUE, the factor levels are assumed to be ordered. For compatibility with S, there is also a function ordered.

The factor of [tex]8n[/tex] is,

[tex]8\times n[/tex]

We cannot find the factor [tex]8-n[/tex] and [tex]8+n[/tex]

And the factor of [tex]\frac{8}{n}[/tex] is [tex]\frac{8}{n} =8\times \frac{1}{n}[/tex]

Learn more about the topic factor:

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Answer:

C

Step-by-step explanation:

From the table we see that

[tex]f(-2)=12\\ \\f(-1)=10\\ \\f(0)=8\\ \\f(1)=6\\ \\f(2)=4[/tex]

Thus, the inverse function has the rule

[tex]f^{-1}(12)=-2\\ \\f^{-1}(10)=-1\\ \\f^{-1}(8)=0\\ \\f^{-1}(6)=1\\ \\f^{-1}(4)=2[/tex]

This gives us that ordered pairs

[tex](12,-2),\ (10,-1),\ (8,0),\ (6,1),\ (4,2)[/tex]

are on the graph of the inverse function

Answer:

it is c

Step-by-step explanation:

yep

For this case we have the following functions:

[tex]f (x) = 2x ^ 2-18\\g (x) = - 3x-7[/tex]

We must find:

[tex](f-g) (2)[/tex]

By definition, we have to:

[tex](f-g) (x) = f (x) -g (x)[/tex]

So:

[tex](f-g) (x) = 2x ^ 2-18 - (- 3x-7)\\(f-g) (x) = 2x ^ 2-18 + 3x + 7\\(f-g) (x) = 2x ^ 2 + 3x-11[/tex]

Then, we evaluate in x = 2:

[tex](f-g) (2) = 2 (2) ^ 2 + 3 (2) -11\\(f-g) (2) = 2 (4) + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 3[/tex]

ANswer:

[tex](f-g) (2) = 3[/tex]

Answer:

5^2 * 5^9

5^3 * 5^8

5^4 * 5^7

Step-by-step explanation:

The easiest way to approach this problem is to first express 5^(11) in its simplest form:

5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5

Then you can regroup them as you want, to still express the same value, but shown as a product of different numbers, including:

(5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5 * 5^(10)

(5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^2 * 5^9

(5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^3 * 5^8

(5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^4 * 5^7

And so on....

Answer:

1:5.25

2:10.5

10:52.5

x:5.25x

Step-by-step explanation:

Basically, you do 42 divided by 8 to get the cost of $5.25 which is the cost of one ticket. Then you multiply that for each number of ticket.