13. Town officials are putting a pathway around a pool as shown below.
(4x+3)
pool
(2x-5) ft
deck
a) Determine the perimeter of the pool in terms of x. Write your answer in simple form and
include units. Show or explain your work.
b) Determine the area of the pool in terms of x. Write your answers as a trinomial and include
units. Show or explain your work.

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Explanation:

There are two ways to solve this

The first method will have us distribute the 2 through to each term, then we solve for y

6 = 2(y+2)

6 = 2y+4 .... distribute

2y+4 = 6

2y = 6-4 .... subtract 4 from both sides

2y = 2

y = 2/2 .... divide both sides by 2

y = 1 is the answer

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Or we can solve through this set of steps

6 = 2(y+2)

6/2 = y+2 ...... divide both sides by 2

3 = y+2

y+2 = 3

y = 3-2 .... subtract 2 from both sides

y = 1

Either way, we get the same answer.

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

To check the answer, replace every copy of y with 1

Simplifying should lead to 6 on the right side

6 = 2(y+2)

6 = 2(1+2)

6 = 2(3)

6 = 6

Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

Answer:

no entiendo me explican que significa por fa

Answer: i don't think they do

Step-by-step explanation: tell me if i wrong

Answer:

The answer is 90

Step-by-step explanation: Im not 100% sure but yeah.

Answer:

Non Linear

Step-by-step explanation:

Its non-linear because when you put X to the second power, it will change the function into a quadratic function

Answer:

its 710%

Step-by-step explanation:

710% hope it helps!

Answer:

The angles are supplementary

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Hope this helps! :)

Answer:

The angles are supplementary.

Step-by-step explanation:

82 plus 98 is 180, so the angles are supplementary.

I hope this helps!

Thx for Brainliest!

Answer:

0

Step-by-step explanation:

The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!

Answer:

t = 5

Step-by-step explanation:

since those 2 angles make up 180 degrees turn it into an equation

20t + 5 + 15t = 180

combine like terms 20t + 15t = 35t

the equation is now 35t + 5 = 180

subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175

35t = 175

now divide each side by 35, 35t/35 = t, 175/35= 5

t = 5

hope this helps :)

Answer:

5

Step-by-step explanation:

Line (which has the the equation)= 180

So,

15t + 20t + 5 = 180

35t + 5 = 180

35t = 180 - 5

35t = 175

t = 175/35

t = 5

Answer:

53

Step-by-step explanation:

58÷1.095= 53 is the answer

Answer:

5.03196347032

Step-by-step explanation:

We do:

.095x+x=58

1.095x=58

x=52.96

52.96 is a approximation and when you do the math and see what  9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032

Wll not just this question, but whenever you need to find average, you have to:

Wait, for example let's take ur question:

1st step we will add up all the values aka heights:

5.4+6.12+7.02+4.9+6.25=29.69

And then how many values did you take???

Its, 5 values

1st value= 5.4

2nd value=6.12

aaand so on....

However, then we will have to divide the sum by no.of values

29.69÷5=5.938

Aaand this is your FINAL ANSWER

Done!!!!

Hope I helped you!!!

Step-by-step explanation:

For the average height of fhe boys:

[tex] \frac{5.4ft + 6.12ft + 7.02ft + 4.9ft + 6.25ft}{5} \\ = 5.938 \: ft[/tex]

In solving for the average height, we used addition and division operations.

Answer:

Step-by-step explanation:

Answer:

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room

Length and breadth

Let the length and breadth be l + 2 and l

Now,

[tex] \large \sf \: Area = l + 2 \times l [/tex]

[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]

[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]

[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]

[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]

[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]

Either

[tex] \large \sf \: l = - 9[/tex]

or,

[tex] \large \sf \: l = 7[/tex]

Length can't be negative,

So,

L = 9

B = 7

Please mark as brainliest :)

Answer:math away is the best for the question u have

Step-by-step explanation:

Mathaway

Step-by-step explanation:

Solve the equation for x by finding a, b and c o f the quadratic then applying the quadratic formula.

5 ± i√15

x = ----------------------------

2

Answer:

115 degrees

Step-by-step explanation:

From what I'm visualizing, D is a point of another isosceles triangle within ABC, so to find the measure of angle BDC, we have to find the other angles first.

First, we have to find angle B and C. since this is an isosceles triangle and AB=AC, these two angles are equal and we find their angle measure by subtracting the known angle A, from the total measure of all angles in a triangle, 180

180 - 50 = 130

then divide that by two to get the two equal angles

130/2 - 65

angle bisector divides the angles in half so the measures of CBD and BCD are 65/2

that leaves the last remaining angle BDC. Again, we take the known angles and subtract them from 180

180 - 65/2 -65/2 = 115

Answer:

23/99 as a decimal is 0.23232323232323.

Step-by-step explanation:

In fractions, the numerator is the number above the line and the denominator is the number below.

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

Answer:

I think it's 399

___

500

I hope it's well help you

Answer:

the answer is 149/500 :D hope this will help u

Answer:

1/3 (Minimized) 2/6

Step-by-step explanation:

Answer:

Slope is -2

Step-by-step explanation:

Formula is y2 - y1 / x2 - x1

Hope this helps. Pls give brainliest.

Answer:

A: 2,400 yards is needed for the child's sweater

B: HAT: 800 yards

   SCARF: 400 yards

   SWEATER: 2,400 yards

Step-by-step explanation:

i really hope this helped! if it did please give me brainliest.

Answer:

i think its mn

Step-by-step explanation:

its the 2 close to qs

Answer:

12

Step-by-step explanation:

6(3+5)/4 add number inside parentheses

6(8)/4 multiply 6 and 8

48/4 divide

12

Hope this helped you!

Answer: a a a a. Aa

E s. Ss s

Step-by-step explanation:

s. S s s s. S s s s s

Answer:

-3

Step-by-step explanation:

Answer:

Domain: {7, 4, 0} Range: {-8, 4, 1, 8}

Step-by-step explanation:

the domain is just the x values and the range is just the y values when just a list of cordinates are given.

Answer:

23 degrees

Step-by-step explanation:

90+23-90=23

9514 1404 393

Answer:

  23°

Step-by-step explanation:

Both angles YAO and KAT are complementary to angle OAK, so are congruent.

  ∠YAO = ∠KAT = 23°