The point A (2,-3) is reflected onto A' (-3,2). What was the line of reflection?

Answer:

Step-by-step explanation:

Graph a line given a point and a slope

Plot the given point.

Use the slope formula to identify the rise and the run.

Starting at the given point, count out the rise and run to mark the second point.

Connect the points with a line.

Answer:

14.5

Step-by-step explanation:

You would plug 5 into the equation for m and have w = 1.5 (5) + 7

Then you would multiply 1.5 and 5 and get 7.5 and then add 7 and get 14.5

The weight of the baby in pounds at 5 months of age is 14.5 pounds.

Given,

The weight in pounds of a baby in the first six months of life can be modeled by the function:

w = 1.5m +7, where x is the age of the baby in months.

According to this model, we need to find what is the weight, in pounds, of a baby at 5 months of age.

A function has an input and an output.

Example:

f(x) = x + 1

x = 1, f(1) = 1 + 1 = 2

Here,

x = 1 is the input and 2 is the output.

We have,

Function:

w = 1.5m + 7

We can consider that m = number of months.

This is why the question says this model can be used to find the weight of the baby in the first six months by putting m = 6.

w = 1.5m + 7

Here,

7 = the weight of the baby at birth

1.5m = baby weight increases by 1.5 per month.

Now,

The weight in pounds of the baby at 5 months of age is:

m = 5 months

w = 1.5 m + 7

w = 1.5 x 5 + 7

w = 7.5 + 7

w = 14.5 pounds.

Thus the weight of the baby in pounds at 5 months of age is 14.5 pounds.

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Answer:  The median is 5

Step-by-step explanation:

The median is the middle number after being arranged from least to greatest.

So arrange the numbers from least to greatest.

1,3,3,4,5,6,8,9,10  

So the middle number in this set is  5

Answer:

Answer:

0.02 is different from 0.002 because 0.02 is greater than 0.002

0.02 and 0.002 are the same because they are both decimal numbers

Step-by-step explanation:

0.02 = 2 / 100

0.002 = 2 / 1000

0.02 < 0.002

0.02 is different from 0.002 because 0.02 is greater than 0.002

0.02 can also be written as 2 × 10^2

0.002 can also be written as 2 × 10^3

0.02 and 0.002 are the same because they are both decimal numbers

Answer: (14.5cm, 15.4cm)

Step-by-step explanation:

We have a measure of 15cm.

This may be a rounded up or rounded down number.

Now, when we want to round at a given digit, we need to see to the previous digit.

If the previous digit is larger than 5, then we round up.

If the previous digit is 5 or smaller, then we round down.

Then, the largest number such that we rounded down to 15cm, is:

15.4cm

The smallest number such that we rounded up to 15cm is:

14.5cm

Then the range of possible values is:

Answer:

x

Step-by-step explanation:

you subtract

-256.

how? 8 times 8 times 8 is 512.

512/2 is 256. But two negatives make a positive. So, it's -256.

Answer:

Vertical translation of 4 units.

Step-by-step explanation:

If you add 4 to y, you would move up 4 because the y axis is vertical.

Solution:

we have given the length of the rectangular card-

[tex]x + 5 \: cm[/tex]

and, width-

[tex]7 \: cm[/tex]

now, the area of the card will be- length×width.

so, we have-

[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]

we also have given the length of ribbon-

[tex]7 \: cm[/tex]

and, width-

[tex]y \: cm[/tex]

so, area of the ribbon is-

length×width

[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]

now the area of shaded gray region will be-

[tex]7x + 35 - 7y[/tex]

Hence, the required expression would the above expression.

I hope this helps! :)

5 is a rational number!

Pls mark as BRAINLIEST

5 is a rational number because it can be written as a fraction; [tex]\frac{5}{1}[/tex]

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

X=2

Step-by-step explanation:

let say x is the variable that we want to found .

x + 4 =6 1/2

X + 4 = 6

X= 2

The number is [tex]2\frac{1}{2}[/tex].

A summation, also called a sum, is the result of arithmetically adding numbers or quantities.

Given that, the sum of a number and 4 is [tex]6\frac{1}{2}[/tex]

Let the number be x

x + 4 = [tex]6\frac{1}{2}[/tex]

 x [tex]x= 6\frac{1}{2} - 4\\= 2\frac{1}{2}[/tex]

Hence,  the number is [tex]2\frac{1}{2}[/tex].

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Answer:

the angle EBA is 25

Step-by-step explanation:

abc is an straight angle it means 180 , so if DBC is 130 you should make a substraction ( abc- dbc) it will give you the other part that acomplish the 180 of abc , and if it is divided by the half it hould be 25 each

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Noor bought 21 sheets of stickers

She gave 1/3 sheets to each 45 students

She wants to give teachers 1/2 of sheets

The question should be: how many teachers will she give

Total sheets=21

Students gets= 1/3 × 45

=45/3

=15 sheets

Remaining sheet= total sheets - students sheets

=21-15

=6 sheets

There are 6 sheets remaining for teachers

She wants to give 1/2 to each teacher

Then,

The number of teachers that will get =Remaining sheets ÷ each teacher's share

=6 ÷1/2

=6 × 2/1

=12 teachers

12 teachers will get 1/2 sheets each

Answer:

12 teachers will get 1/2 sheets each

Step-by-step explanation:

Answer:

or word problems 16-21: 1) Declare a variable 2) Write an equation 3) Solve. ... planning for their wedding reception Joey and Sarah were told that Riverside Gallery would charge $550 to use their function room for the 60 guests they planned on inviting.

Step-by-step explanation:

Given that :-

To Find :-

Solution :-

The fist expression x + y < 5 states that sum of x and y could be any rational number less than 5 .

And the second expression 3 < x < 5 states that value of x could be any rational number between 3 and 5.

Let's check which option suits best.

Is it possible to have value of 8/3 by y ?

→ x + 8/3 < 5

→ x < 5 - 8/3

→ x = 7/3

7/3 is a rational number . So y as 8/3 is possible value.

→ 7/3 = 2.33

But value of x should be greater than 3 .

So option A is wrong.

Is it possible to have value 2 by y ?

→ x +2 < 5

→ x < 5-2

→ x < 3 .

But value of X should be greater than 3.

So option B is also incorrect.

Is it possible to have value 0 by y?

→ x +0 <5

→ x < 5

It also fullfill 2nd expression that X should have value less than 5 and greater than 3.

So option C is valid .

Value of y is 0 .

The area of the shaded region is [tex]47.5cm^2[/tex].

The area of the shaded region is the area of the whole region minus the area of the unshaded region.

The area of the whole region is equal to the area of the rectangle as a triangle is inscribed in a rectangle and the area of the unshaded region is equal to the area of the triangle.

Then the area of the shaded region will be the area of the rectangle minus the area of the triangle.

The area of the rectangle will be [tex]A_{1}=base\times height[/tex] where the base = 11 cm and height = 5cm.

Then we will get

[tex]A_{1}=11\times5\\A_{1}=55cm^2[/tex]

Now the area of the triangle is [tex]A_{2}=\dfrac{base\times height}{2}[/tex] where the base = 5cm and the height = 3cm.

Then we will get

[tex]A_{2}=\dfrac{5\times3}{2} \\A_{2}=\dfrac{15}{2}\\ A_{2}=7.5[/tex]

Then the area of the shaded region will be [tex]55-7.5=47.5cm^2[/tex].

So, the area of the shaded region is [tex]47.5cm^2[/tex]

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Answer:

The temperature at 10 pm was -1 degrees and the arrows helped you understand when the temperature increased and decreased.

Step-by-step explanation:

At 8 am, we know that the temperature is -3 degrees, or 3 degrees below zero. By 1 pm, the temperature has risen by 14 degrees and is now 11 degrees. We know this because -3+14=11. Now by 10 pm, the temperature has dropped 12 degrees which means that it's -1 degrees. (11-12=-1) The plot points would be all of the temperatures, or -3, 11, and -1. The arrows you need to draw are from -3 to 11 (an increase) and from 11 to -1 (a decrease). Drawing the arrows this way represents the temperature at different times and how it changed over time.

Answer:

2 and 1

Step-by-step explanation:

1 + 2 = 3

(1*1) + (2*2) = 5

Answer:

2 and 1

Step-by-step explanation:

just simply subtract the sum of two numbers from one of the given numbers that is 3-2=1

now simpliy take the square of 1 and 2

1+4=5

Answer:

6 hours

Step-by-step explanation:

Subtract 553 from 265 to find the price without parts, we get 288

then divide 288 by 48. We get 6

This means 6 there was 6 hours of labor

Answer:

y=0

Step-by-step explanation:

branliest

Answer:

2. Y=O

Step-by-step explanation:

I really don't have a good explanation but that's it

Answer:

1 / (x^12)

Step-by-step explanation:

x^-4 = 1/x^4

1 / (x^4)(x^8) = 1/ (x^12)

Answer:

ok so he makes 7.25 per hour and he waste 2.29 he is wasting the  31.5% of the salari

Step-by-step explanation:

you have to multiply 2.29 by 100 and divide it into the 7.25

2.29 X 100=229/7.25=31.5

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Width(w) of rectangular paintball must be = 34 meters

Perimeter of atleast 140m but not more than 260 meters

Perimeter of a rectangle (p) : 2 (l + w)

P = 140

Then ;

140 = 2(l + 34)

140 = 2l + 68

140 - 68 = 2l

72 = 2l

l = 72/ 2 = 36 meters

P = 260

260 = 2(l + 34)

260 = 2l + 68

260 - 68 = 2l

192 = 2l

l = 192/ 2 = 96 meters

Hence the length must be between 36 meters and 96 meters

The interval z, for the length :

36 ≤ z ≤ 96

Answer:

7)c

8)d

9)b

10)a

Step-by-step explanation:

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = [tex]2 \times width[/tex]

Base area = lb

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

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

[tex]h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}[/tex]

Now, cost is

[tex]= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}[/tex]

now we have to minimize C(x)

So, we need to compute the C'(x)

[tex]= 52x - \frac{648}{x^2}[/tex]

C"(x)  [tex]= 52x - \frac{1,296}{x^3}[/tex]

now for the critical points, we will solve the equation C'(x) = 0

[tex]= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}[/tex]

[tex]C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0[/tex]

So, x is a point of minima that is

= [tex](\frac{648}{52} )^\frac{1}{3}[/tex]

Now, Base material cost is

[tex]= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}[/tex]

= 139.75

Side material cost is

[tex]= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }[/tex]

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

The cost of the side material is $279.50, the cost of the base material is $139.75 and the total cost is $419.25 and this can be determined by using the arithmetic operations.

Given :

Let the width of the rectangular storage container be 'x' then according to the given data the length is '2x' and let the height of the container be 'h'.

The base area of the rectangular storage container is given by:

Base Area = [tex]2x^2[/tex]   ----- (1)

The side area of the rectangular storage container is given by:

Side Area = 2(2x)h + 2xh

                 = 6xh    ---- (2)

Now, the volume of the rectangular storage container is given by:

Volume = lbh

Put the values of known terms in the above equation.

24 = [tex]2x^2h[/tex]

[tex]h = \dfrac{12}{x^2}[/tex]

Now, the cost is given by:

[tex]\rm C(x)=13(2x^2)+9(6xh)[/tex]

[tex]\rm C(x)= 26x^2 + \dfrac{648}{x}[/tex]

Now, to minimize C(x) differentiate the C(x) with respect to x.

[tex]\rm C'(x)=52x -\dfrac{648}{x^2}[/tex]   ---- (3)

Now, equate the above equation to zero.

[tex]0 = 52x =\dfrac{648}{x^2}[/tex]

[tex]x = \sqrt[3]{\dfrac{648}{52}}[/tex]

Now, differentiate equation (3) with respect to x.

[tex]\rm C"(x) = 52+\dfrac{1296}{x^3}[/tex]

Now, put the value of x in the above equation.

[tex]\rm C"(x) = 52+\dfrac{1296}{\dfrac{648}{52}}[/tex]

[tex]\rm C"(x) = 52+104[/tex]

[tex]\rm C"(x) = 156 > 0[/tex]

Therefore, 'x' is the point of minima.

Now, the cost of the base material is:

[tex]= 13\times 2 \times (\dfrac{648}{52})^\frac{2}{3}[/tex]

= $139.75

Now, the cost of the side material is:

[tex]=\dfrac{648}{\sqrt[3]{\dfrac{648}{52}} }[/tex]

= $279.50

Therefore, the total cost is given by:

= 139.75 + 279.50

= $419.25

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Answer:

step 2

Step-by-step explanation:

theres a one in front of the () meaning it should have look like this

4+4x+2

Answer:The correct option is 2.Step-by-step explanation:It is given that the area of a rectangle is 8+12x and width of the rectangle is 4.We need to find the dimensions of the rectangle.Area of a rectangle isIt means the factors of expression of area represent the dimensions.The correct steps are shown below:Step 1: 8 + 12xStep 2: 4(2) + 4(3x)Step 3: 4(2 + 3x) Step 4: Dimensions of the rectangle are 4 and 2 + 3x.Student made an error in step 2 and the correct step is 4(2) + 4(3x). Therefore the correct option is 2.

Answer:

Set the area equal to x2, solve for x, and then multiply the value of x by 4.

Step-by-step explanation:

The area of the picture is given by

A = s^2 where s is the side length

Let the side length be x

A = x^2

Take the square root of each side

sqrt(A) = sqrt(x^2)

x = sqrt(A)

We want to find the perimeter since we are framing the border

P = 4s since the picture is a square

P = 4 * x

Answer:

B.

Step-by-step explanation:

Let's let x represent the side length of the square.

Since the picture is a square, all the lengths are the same. Moreover, the area of the square is x times x or x squared. Thus:

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

The amount of framing Sachiko needs is represented by the perimeter of the square. The perimeter of a square is determined by the formula:

[tex]P=4x[/tex]

Now, if Sachiko knows the area and she wants to find the perimeter, she can do the following:

First, the area is equal to x^2. So, she should first just find the length itself. So her first step should be to set the area equal to x^2 and then solve for x.

Then, when she has found her length, she just need to multiply it by 4 to get the perimeter or the amount of framing she needs.

Thus, the answer is choice B.

Answer:

B. (1/2)(2h-8)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height = h

Base = 8 inches less than 2 times wider than the hight

= 2h-8

Substituting the values of base and height into the formula

We have,

Area of a triangle = 1/2 × base × height

= 1/2 × (2h-8) × h

= (1/2)(2h-8)(h)

The correct answer is option

B. (1/2)(2h-8)(h)

Answer:

q = 8/5r or q = 1.6r

Step-by-step explanation:

-7q + 12r = 3q - 4r

+7q           +7q

12r = 10q - 4r

+4r           +4r

16r = 10q

/10    /10

16/10 = 8/5     8/5 = 1.6

q = 8/5r or q = 1.6r