Which equation is true if the perimeter of the rectangle is 60?
X + 5
3x - 2
OOOO
X+5= 3x-2
(x+5)+(3x-2) = 60
2(x+5)+2(3x-2) = 60
O 2(3x-2)-2(x+5) = 60

(x-5)*2 +(y-4)*2=25

Explanation

Equation of circle is (x-a)*2 + (y-b)*2=r*2

Expand equation to get

x*2 - 2ax + y*2- 2by+ b*2= 0

Then take the points and put them into the equation

You will then have two equations

Solve them simultaneously to find a and b

Where a= 5 and b = 4

After put it back to the equation of the circle

The sum of all andles in quadrilateral is equal to 360°, so

[tex]5x - 30 + 60 - x + 3x + 60 + 4x + 50 = 360 \\ 11x = 220 \\ x = 20[/tex]

Now we need to put x into polynomials

1)

[tex]5 \times 20 - 30 = 70[/tex]

2)

[tex]60 - 20 = 40[/tex]

3)

[tex]3 \times 20 + 60 = 120[/tex]

4)

[tex]4 \times 20 + 50 = 130[/tex]

Answer: the smallest ahgle is 60-x

Answer:

10: 7 and 4

11: 1 and 3

12: 7 and 8

13: 3 and 5

14: 8 and 9

15: 10 and 14

These should be the answers, check with your teacher too.

Step-by-step explanation:

Answer:

Width = 7 units

Step-by-step explanation:

Length = x units

Width = (x -1) units

Area = 56 square units

length * width = 56

x * (x - 1) = 56

x*x - x*1 = 56

x² - x  - 56 = 0

x² -8x + 7x - 7*8 = 0

x(x - 8) + 7(x - 8) = 0

(x - 8)(x + 7) = 0

Here, (x +7) is ignored because measurement will not  in negative.

x - 8 = 0

x = 8

Length =  8 units

Width = 8-1 = 7 units

Width

Answer:

70

Step-by-step explanation:

angles on a straight line add up to 180 degrees add 52+58=100 then minus from 180 =70

Answer:

900 outfits

Step-by-step explanation:

Assuming that every shirt, pair of pants, pair of socks and pair of shoes are different, the number of different outfits that John can make is determined by multiplying the quantity available of each item (shirt, pants, socks, and shoes):

[tex]n=12*3*5*5\\n=900\ outfits[/tex]

John can make 900 different outfits.

Answer: The factory produced 46845.3076923 cookies, though in context the answer does not make sense. If you were to estimate then it'll be 46845 cookies.

Answer:

P= 7/9 miles

A= (7/18) miles²

Step-by-step explanation:

Length 'l' = (1/6) mile

Width 'w'= (2/9) mile

Perimeter 'P' is given by:

'P' = 2l + 2w => 2(1/6) + 2(2/9)

P= 7/9 miles

Area 'A' is given by:

A= l x w =(1/6) x (2/9) = (7/18) miles²

Answer: It will be a hollow cylinder, the central core has a radius of 2 and It will have a surface area equal to 48pi

Step-by-step explanation:

Just did it on algebra nation

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =4

m the slope  m= -2 (same slope for the line : 2x+y=3 because this lines are parallel and you can write y=-2x+3

an equation for this line is : y-4 = -2(x-5)

Final answer:

The equation of the line parallel to 2x + y = 3 and passing through the point (5, 4) is y = -2x + 14.

Explanation:

To find the equation of a line that is parallel to the given line 2x + y = 3 and passes through the point (5, 4), we first need to put the given line into slope-intercept form (y = mx + b), where m represents the slope and b the y-intercept. For the equation 2x + y = 3, we solve for y to get y = -2x + 3, which shows that the slope (m) is -2. Since parallel lines have the same slope, our new line will also have a slope of -2.

Using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) is the point (5, 4) and m is -2, we get y - 4 = -2(x - 5). Simplifying this, y - 4 = -2x + 10, which leads to y = -2x + 14 as the equation of the line passing through (5, 4) and parallel to 2x + y = 3.

Answer:1+1=2

Step-by-step explanation:Because 1+1=2

Answer:

2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation is in the standard form for a circle:

(x-h)^2+(y-k)^2=r^2

where (h,k) is the center, and r is the radius

If we compare the 2 equations:

(x-h)^2+(y-k)^2=r^2

(x + 10)2 + (y + 9)2 = 100

We can see that r^2 is equal to 100. Let's set them equal to each other.

r^2=100

Since r is being squared, take the square root of both sides. This will cancel out the exponent.

[tex]\sqrt{r^2}=\sqrt{100}[/tex]

r=10

So, our radius is 10, or choice C

Answer:

c

Step-by-step explanation:

OMY

I was so thrown off my the 2's

square root of 100 = 10

Answer: -8(y-5) = (x-3)2

Step-by-step explanation:

Well, p(y-k) = (x-h)2 has Vertex (h,k) = (3,5).  So the Distance from vertex to directrix is 2; distance from vertex to focus is 2; focus is directly beneath the vertex.  Therefore it's  p = -2  ( I hope this helped<3)

Answer:

I think the answer is 2/15 but I'm not a hundred percent sure

Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make [tex]\(2/3\)[/tex] of her salad dressing recipe.

To find out how much vinegar Ashley would use to make 2/3 of her salad dressing recipe, we need to calculate the amount of vinegar used in the full recipe and then scale it down to 2/3 of that amount.

In the full recipe, Ashley uses 1/5 cup of vinegar. To make 2/3 of the recipe, we multiply the amount of vinegar needed for the full recipe by 2/3:

[tex]\[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \text{ cup} \times \frac{2}{3} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \times \frac{2}{3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1 \times 2}{5 \times 3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{2}{15} \text{ cup} \][/tex]

So, Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make 2/3 of her salad dressing recipe. Simplifying [tex]\(\frac{2}{15}\)[/tex] gives us [tex]\(\frac{2}{15} = \frac{2 \div 1}{15 \div 1} = \frac{2}{15}\)[/tex], which is already in its simplest form. Thus, the final answer remains [tex]\(\frac{2}{15}\)[/tex] cup of vinegar.

Another term for y value is range.

The domain of a function is a set of values for which the function is defined.

The range of the function is the set of all values that a function takes.

Now in the given question, for another term of y-

Reciprocal- reciprocal means opposite.

Function- function is when the y values do not repeat in a pattern.

Range- Range is another term for a y value.

Independent Value - an independent value is X.

Therefore,another term for a y value is Range.

More about Domain and Range :

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Answer:

2000 bacteria

Step-by-step explanation:

The number of bacteria double 2 times because 170/85=2. 500 times 2 is 1000 and 1000 times 2 is 2000.

Answer:

Part A Answer = 206

Part B Answer= 5

Step-by-step explanation:

Part A Explanation:

The formula for volume of a cone is V=(1/3) pi*r^2 h

So then you plug in. V= 1/3 pi (4)^2(11)

You get the radius by dividing the diameter by 2

When you multiply  it all it becomes 184.31cm^3 (Save this for later on in this Part A question)

Now we have to find the Volume of the cooler. That would be: 10*3785=37850 Since there were 10 gallons and each gallon is 3785 cm^3 you multiply them together.

Then you divide the volume of the cooler by the volume of the cone cup: 37,850/184.31=205.36 but since you cannot have 205.36th of a cup you need to get another one since 205 would not be enough giving us a total of 206 cups.

Part B explanation: Since there are 50 cups per package you would have to divide 206 by 50. 206/50=4.12 but again since you cannot buy 4.12 of a package you need to buy 5 packages for it to be enough.  

Step-by-step explanation:

where is the polygon??

No need to worry, I know the original question that was being asked.

Here is the answer to the problem:

Answer:2.5

Step-by-step explanation:

155% of what number is 93?:

60

Answer:

A

Step-by-step explanation:

to find the circumference of a circle, u multiply the diameter by pi. pi is approximately 3.14. 12.2 times 3.14 is 38.308. rounded to the nearest tenth it is 38.3 :)

Answer:

No.

Step-by-step explanation:

First class section seats: 5/7 = 10/14 so 10 seats are being used.

Business: 5/16 = 20/64, 20 seats are being used.

Economy: 5/9 = 60/108, 60 seats are being used.

10 + 20 + 60 = 90

108 + 64 + 14 = 186

90/186 is less than 1/2, because 1/2 = 93/186

Answer:

x <11

Step-by-step explanation:

5(x+4)<75

Divide each side by 5

5/5(x+4)<75/5

x+4 < 15

Subtract 4 from each side

x+4-4 < 15-4

x <11

Answer:

[tex]x<11[/tex]

Step-by-step explanation:

Solve for x. Divide both sides by 5:

[tex]\frac{5(x+4)}{5}<\frac{75}{5}\\ \\x+4<15[/tex]

Subtract 4 from both sides to isolate x:

[tex]x+4-4<15-4\\x<11[/tex]

x is less than 11.

Finito.

Answer:

[tex]6\left(5w+8\right)[/tex]

Step-by-step explanation:

[tex]30w+48[/tex]

[tex]6\cdot \:5w+6\cdot \:8[/tex]

[tex]6\left(5w+8\right)[/tex]

Answer:

C. by hiring a local agent or broker who is familiar with her needs

and

E. by registering on the website of a national insurance company

Step-by-step explanation:

Just got this right on Plato :)

To independently obtain additional insurance, Natasha has two main options: hiring a local insurance agent or broker for personalized service, or registering on the website of a national insurance company for convenience and direct-purchase options.

Natasha can accomplish her goal of obtaining additional insurance coverage independently from her employer by following two main paths:

By consulting a local insurance agent or broker, she can receive personalized advice and find coverage that fits her specific situation.

On the other hand, registering on the website of a national insurance company allows her the convenience to compare different plans and sign up for insurance that she can directly purchase.

Doing either will help her cover personal assets and health beyond what her employer provides without affecting her existing employment-based insurance coverage. It's important for her to assess her individual needs, risk factors, and financial situation when choosing the best insurance plans for her lifestyle.

Answer:

Income tax is a separate issue from sales tax when you're running a small business. Income tax is the amount you pay on your total income from the business to the federal and state government. Sales tax is a percentage amount that your customers have to pay when they purchase certain items from your business.

Step-by-step explanation:

Answer:

x = 1/6

Step-by-step explanation:

hope it helps.

x= 1/6

Answer: 6

Step-by-step explanation:

[tex]-\frac{2}{3}x+9=\frac{4}{3}x-3[/tex]

Subtract [tex]\frac{4}{3}x[/tex] from both sides to leave variables on the left.

[tex]-\frac{4}{3}x-\frac{2}{3}x+9=\frac{4}{3}x-3-\frac{4}{3}x[/tex]

[tex]-\frac{4}{3}x-\frac{2}{3}x+9=-3[/tex]

Now subtract 9 from both sides to isolate independent variables on the right.

[tex]-\frac{4}{3}x-\frac{2}{3}x+9-9=-3-9[/tex]

[tex]-\frac{4}{3}x-\frac{2}{3}x=-3-9[/tex]

Combine like terms;

[tex]-\frac{6}{3}x=-12[/tex]

Simplify;

[tex]-2x=-12[/tex]

To completely isolate x, divide by -2

[tex]\frac{-2x}{-2}=\frac{-12}{-2}[/tex]

[tex]x=6[/tex]

Answer:

Angle 7 and angle 15

Step-by-step explanation:

Alternate interior angles with angle 9 are:

Transversal s, parallel lines are t and u,

Transversal u, parallel lines are s and r,

If angle 9 is an interior angle within a pair of parallel lines cut by a transversal, then there would be one alternate interior angle to angle 9. The alternate interior angles are those inside the lines and on opposite sides of the transversal.

In a pair of parallel lines cut by a transversal, the alternate interior angles are those angles that are inside the pair of lines and on opposite sides of the transversal. The alternate interior angles are equal when the lines are parallel. From your question, it's not clear which lines are parallel and where angle 9 is located.

Let's assume that angle 9 is one of the interior angles created by the transversal on a pair of parallel lines. In that case, there would be one angle that is an alternate interior angle to angle 9. So without more information, we can only say that there is one alternate interior angle to angle 9.

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