what is the actual length of the living space if the length of the scale drawing is 16.8 centimeters ? ​

Step-by-step explanation:

x²+2x+y²-2y=62

using completing the square

x²+2x+1+y²-2y+1=62+1+1

(x+1)²+(y-1)²=64

(x+1)²+(y-1)²=8²

(x-a)²+(y-b)²=r²

by comparison

(a,b)=(-1,1)

a,b is the center of the circle

r=8unit

r is the radius

Answer:

The answer to this question is 12 inches.

Step-by-step explanation:

This is because 288 + b^2 = 432. After further calculations you can conclude that b = 12.

Answer:

12 inches

Step-by-step explanation:

;)

Answer:

this is not equal to zero

Answer:

Perimeter = 155.6 m

Step-by-step explanation:

Notice from the diagram, that the 55 meters long diagonal is the hypotenuse of a right triangle who has equal legs. Then we can use Pythagoras to find the length of the equal legs of the square:

[tex]hyp^2 = leg_1^2 + leg_2^2\\55^2 = 2\,*\,leg^2\\3025=2*leg^2\\leg=\sqrt{\frac{3025}{2} } \\leg\approx 38.89 \,\,meters[/tex]

Therefore, the perimeter of the square playground is 4 times this value:

Perimeter = 38.89 m *4 = 155.56 m

Since they want the answer rounded to the nearest 10th, we write:

Perimeter = 155.6 m

Answer:  I. 38.9 II. 155.6

Step-by-step explanation:

So we are working on 2 isosceles right triangles formed by the diagonal and two sides as it has two sides of the same length and two 45 degree angles. The two equal sides of an isosceles triangle are known as 'legs' whereas the third or unequal side is known as the 'hypotenuse'

The sides of isosceles right triangles have a peculiar relationship, 1:1:√2, and one way to find the sides is to use the "pattern formula," which only applies to these triangles:

Hypotenuse= Leg*√2

We don't know the answer to the legs yet, so we have to divide both sides by √2.

L= H/√t2= 1/2H*√2. Since our hypotenuse is 55:

L= 1/2*55*√2= (55*1)/2*√2= 27.5*√2

The square root of 2 is 1.414, so multiply:

27.5*1.414= 38.9 (the length of each side.)

If you want to simplify the equation a little more, here is another way of writing it;

sides length²*2=diagonal length².

Since we know each side length, all we have to do to find the perimeter of the square is to:

Perimeter = 4*side

155.6 = 4*38.9

Hope that can help!

Answer:

Step-by-step explanation:

Step-by-step explanation:

ok so for number 1 you first have to group the like terms therefore you will now have:

9r-4r+8-6

and now you calculate:

9r-4r=5r

8-6=2

so that means 5r-2 is simplied version for no.1

for number you 2 you first multiply why is inside the brackets by what is in the outside:

2(x+3y)

2x+6y (simplified version)

hope this helps! no problem

Answer:

BC is 4

Step-by-step explanation:

Use a proportion to solve

AB is 2 (AD is 5 and BD is 3- so 5-3)

[tex]\frac{2}{x} = \frac{5}{10}[/tex]

[tex]5x=20\\x=4[/tex]

Answer:

The answer to this question is A

The new coordinates will be C( 3 ,0),  D( 7,1) , E(2,4) , Option A is the correct answer.

When a object or a figure is reflected , it means an mirror image if the object is being created , the shape and size of the object remains same , Only the coordinates change on the basis of the axis used for Reflection.

The figure is given in the question.

The coordinates of the figure is

C( -3 ,0)

D( -7,1)

E(-2,4)

When reflection is done along any axis , the coordinates of the other axis change sign.

so in this case ( x,y ) -----> ( -x,y)

The new coordinates will be

C( 3 ,0)

D( 7,1)

E(2,4)

Therefore Option A is the correct answer.

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Answer:

303.875

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

use the distributive property

3(x - 9) = 30

3x - 27 = 30

     +27   +27

3x = 57

divide by 3

x = 19

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

The value of x is 19.

Step-by-step explanation:

The steps are :

3(x- 9) = 30

3(x - 9) ÷ 3 = 30 ÷ 3 [eliminate 3 on left side]

x - 9 = 10

x - 9 + 9 = 10 + 9 [eliminate -9 on left side]

x = 19

Answer:

what is the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

after 2 seconds the ball would be 96 feet in the air

in 9 seconds will it reach its max height

max height=136ft

Answer:

the answer is 4

Step-by-step explanation:

5x=16+4

5x=20

X=4

Answer:

Step-by-step explanation:

Complement to 60° = 30°

cos(30°) = sin(60°) = 0.866

Answer:

0.866.

Step-by-step explanation:

We use the identity

sin x = cos (90-x)

So the cosine of the complementary angle is also 0.866.

Answer:

The answer is 90 because 125 subtract 35 is 90 dollars

Step-by-step explanation:

125-35=90

Answer:

The nth term of the arithmetic sequence is;

90 - 3n

Step-by-step explanation:

Here, we want to find an expression for the nth term of the sequence

Mathematically, let us determine the type of sequence

As we can see;

84 - 87 = 81-84 = -3

The difference between the terms is a constant; this means that the sequence is arithmetic

The nth term of an arithmetic sequence can be represented by;

Tn = a + (n-1)d

in this case, a is the first term of the sequence = 87

d is the common difference of the sequence = -3

The nth term is thus;

Tn = 87 + (n-1)-3

Tn = 87 - 3n + 3

Tn = 87 + 3 - 3n

Tn = 90 - 3n

The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

The right is a triangle with has one angle 90° and square of hypotenuse is equal to the sum of square of other two legs.

Given that, the set of measurements representing the side lengths of a right triangle,

We will check the measurements by seeing if they are following the Pythagoras theorem or not,

Option A)

16 ft, 30 ft, 34

16²+30² = 1156 = 34²

∴ 16²+30² = 34²

Option B)

9²+12² = 225 = 15²

9²+12² = 15²

Option C)

7²+24² = 625 = 25²

7²+24² = 25²

Option D)

5²+7² = 74 ≠ 12²

Since, 5ft. 7 ft, 12 ft set of  measurements are not following the Pythagoras theorem.

Therefore, it's not a right triangle.

Hence, The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

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History of algebra

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).

This article describes the history of the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics.

Answer:

option B

Step-by-step explanation:

you cannot have one input and 2 outputs.

(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction

Answer:

What?

Step-by-step explanation:

Okay, the formula, then what?

Answer:

the answer is v=bh/3

Step-by-step explanation:

I solve for V since you didn't put what letter you wanted the question to be solved for.

hope this helps.

Answer: 204 square inches

Step-by-step explanation: I’m not really sure, but if you follow through with the normal area identifying method; Length x Width, you should come up with 25.5. After doing this, you could multiply your product by 8 because your actual mirror size is 8 times greater. You will come up with 204 square inches, which would be your final solution. (Once again, I am not sure, just doing how I’ve been understanding from studies).

Answer:

9[tex]\frac{1}{3}[/tex] gallons of water

Step-by-step explanation:

To find how many gallons of water go down each minute, divide the total number of gallons of water by the number of minutes it takes to drain:

70/7.5

= 9[tex]\frac{1}{3}[/tex]

So, 9[tex]\frac{1}{3}[/tex] gallons of water go down the drain each minute

Answer:

9 1/3 gallons go down the tub

Step-by-step explanation:

Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

Answer:

32 times as many bacteria after 5 days

Answer:

Pandemic, Loss In family

Step-by-step explanation:

The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.

(Hope this helps)

Yours Truely, TheAnimeCatUwU

Answer:

2+2.35<47

Step-by-step explanation:

because the taxi charge $2 + $2.35 per mile and < means you spend less than $47.