Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).

========================================================

Explanation:

The two endpoints of the segment are (0,-2) and (4,-1)

So this means

(x1,y1) = (0,-2)

(x2,y2) = (4,-1)

Use the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-4)^2 + (-2-(-1))^2}\\\\d = \sqrt{(0-4)^2 + (-2+1)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17} \ \text{ is the exact distance}\\\\ d \approx 4.1231056 \ \text{ is the approximate distance}\\\\[/tex]

Answer:

The true mean volume of p

aint in each can is greater than or equals to 400ml

Step-by-step explanation:

The symbol of μ represents the mean of a data.

Mean can be defined as the average value of a set of data

Let consider the question.

We know that

μ ≥ 400ml

Where the sign ≥ means "greater than or equals to"

Which means that μ is greater than or equals to 400ml

So the solution is:

1st blank = greater than

2nd blank = equals to

Step-by-step explanation:

if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .

example : the mixed number 8 3/4 is understood to mean the same thing as

8 + 3/4.

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

Answer:

Step-by-step explanation:

Pool:

Width = x ft

Length = (x+6) ft

Pool along with walkway:

Width = x + 5 + 5 = (x + 10) ft

Length = x + 6 + 5 + 5 = (x + 16) ft

Total area of the pool with walkway = 950 sq.ft

length * width = 950

(x+16) * (x + 10) = 950

Use FOIL method,

x*x + x *10 + 16*x + 16 *10 = 950

x² + 10x + 16x + 160 -950 = 0   {Add like terms}

x² + 26x - 790 = 0

Answer:

29.4 length and 21.4 width.

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total

Answer:

-5 and 11

Step-by-step explanation:

| 3-x | = 8

absolute sign has two value. POSITIVE and NEGATIVE value

POSITIVE

3-x = 8

x = 3-8 = -5

NEGATIVE

-(3-x) = 8

-3 + x = 8

x = 8+3 = 11

Answer:

x =-5                           x = 11

Step-by-step explanation:

|3-x| = 8

We get 2 solutions to an absolute value, one positive and one negative

3-x =8      3-x = -8

Subtract 3 from each side

3-x-3 = 8-3           3-x-3=-8-3

-x =5                      -x = -11

Multiply by -1

x =-5                           x = 11

Answer:

I think the answer is the last one

adjacent side / hypotenuse

Answer:

The value of Area of B/Area of A is 0.75.

Step-by-step explanation:

It is provided that:

Consider the diagram below.

The area of a rectangle is:

[tex]\text{Area}=\text{Length}\times \text{Breadth}[/tex]

Compute the area of rectangle A as follows:

[tex]\text{Area of A}=l\times b[/tex]

Compute the area of rectangle B as follows:

[tex]\text{Area of B}=1.25\ l\times \frac{3}{5}\ b=0.75\ (l\times b)[/tex]

Compute the value of Area of B/Area of A as follows:

[tex]\frac{\text{Area of B}}{\text{Area of A}}=\frac{0.75\ (l\times b)}{l\times b}=0.75[/tex]

Thus, the value of Area of B/Area of A is 0.75.

Answer:

21.7

Step-by-step explanation:

you add all along the shape and it adds up to 21 and 21.7 is the only answer that has 21 in it

hope this helps.

Answer:

It will be letter D and A

Step-by-step explanation:

Letter D, because you are saying that is 25 over 100 and letter A because the equation to find a percentage is:

[tex]\frac{X}{Y}= \frac{PERCENTAGE MISSING}{100}[/tex]

X and Y: will be the information that they give so, the equation and answer will be

[tex]\frac{25}{100} =\frac{x}{100}\\\\ \frac{25* 100 }{100} \\\\\frac{2500}{100} \\\\25%[/tex]

Answer:

D & A

Step-by-step explanation:

Answer:

(1, -5) is the solution of the system

Step-by-step explanation:

y = negative 7 x + 2 should be written as  y = -7x + 2, and

y = 9 x minus 14 as y = 9x - 14

Use elimination by substitution to solve this system.  Equate the two equations together to eliminate y:  y = 9x - 14 = -7x + 2.

Combining like terms, we get 9x - 14 = -7x + 2  =>  16x = 16

Dividing both sides by 16 yields x = 1.

Substituting 1 for x in the first equation yields the corresponding y-value:

y = -7(1) + 2 = -5

Thus, the ordered pair (1, -5) is the solution of the system.

Answer:

It's B

Step-by-step explanation:

Answer:

Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.

Step-by-step explanation:

Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!

Answer:

no, its not

Step-by-step explanation:

it does not have an angle of 90°

It is a scalene triangle

Answer:

30.6

Step-by-step explanation:

The area of a parallelogram is base * height.

Base = 6.8

Height = 4.5

6.8 * 4.5 = 30.6

Just answering so Adriantan2019 can get brainliest because that was a good answer and I don't remember how to do the area! SORRY! :) Have a great day! :)

Answer:

C

Step-by-step explanation:

Since triangles TUS and QRS are similar, if TUS is isosceles then so is QRS. This means that all corresponding proportions are at a constant ratio. So if TS=US, QT=RU and therefore a=7. Hope this helps!

Answer:

a =7

Step-by-step explanation:

The triangles are similar so we can use ratios

10           10

------  = --------

10+a      10+7

Since the numerators are the same, the denominators have to be the same

10+a = 10+7

a = 7

What is the slope of the first line?  

✔ –5

What is the slope of the second line?  

✔ 2

How many times do the lines intersect?  

✔ 1

How many solutions does the system have?  

✔ 1

Answer:

Step-by-step explanation:

-5x - 1 = 2x + 6

-7x - 1 = 6

-7x = 7

x = -1

y = -5(-1) - 1 = 5 - 1 = 4

(-1. 4)

first slope: -5

second slope: 2

once

one

Answer:

D i think

Step-by-step explanation:

Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .

Answer:

51/12

as a mixed number

4 1/4

Step-by-step explanation:

first you add 8 to 4 which is 12

so the improper fraction would be 51/12

how to turn it in to a mixed number in simplest form

step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:

51 / 12 = 4.2500 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

51 - (12 x 4) = 3

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

4  

   3  

   12  

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:

4  

   1  

   4  

Answer:

f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares

g(x) = x+9/x-9

g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)

= ( x + 9)(x +9)

= ( x + 9)²

= x² + 18x + 81

Hope this helps.

Answer:

y = -3/2 x + 5/2

Step-by-step explanation:

3x + 2y = 5

2y = 5 - 3x

y = -3/2 x + 5/2

Answer:

y= -3/2x+5/2

Step-by-step explanation:

3x + 2y = 5

2y= 5- 3x

y= 5/2 - 3/2x

y= -3/2x+5/2

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Answer:

Step-by-step explanation:

if DF=20, then:

4x+8+2x-2=20

6x+6=20

6x=14

x=14/6

x=7/3

then

DE=4x+8

DE=4(7/3)+8

DE=(28/3)+24/3

DE=52/3

And

EF=2x-2

EF=2(7/3)-2

EF=14/3-6/3

EF=8/3

Answer:

3) 10^12

4) 0.99^4

8) x^12

9) 3/4^6

Step-by-step explanation:

10^(6+5+1)

0.99^(3+1)

x^(6+2+4)

3/4^(2+2+2)

3) 10^12=1000000000000

4)0.99^4=0.96059601

8)x^12

9)(3/4)^6=0.1779...

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

[tex]x \times 5[/tex]

[tex] = 5x[/tex]

Secondly, 5 is added to product and you will get 10 :

[tex]5x + 5 = 10[/tex]

Lastly, you have to solve :

[tex]5x + 5 = 10[/tex]

[tex]5x = 10 - 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 5 \div 5[/tex]

[tex]x = 1[/tex]

Answer:

2

Step-by-step explanation:

if you divide

10 by 5

you get two

Answer:

12 units

Step-by-step explanation:

distance formula

Add 1 to both sides of the equation to get 4x = 4.

Divide both sides by 4 and x = 1.

Answer:

x= 1

Step-by-step explanation:

4x-1=3

    +1 +1

4x=4 (divide both sides by 4 to get x alone)

x=1

Answer:

The elevation is a nonlinear function.

Step-by-step explanation:

Answer:

It's (B) The elevation is a nonlinear function.

Step-by-step explanation: