Two sides of a triangle measure 17 inches and 13 inches. The perimeter of the triangle is 45 inches. What is the length in feet of the third side of the triangle?​

Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

Answer:

78,4 cm^2

Step-by-step explanation:

I did this in my head so i could be wrong but im pretty certain this is right

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure

Answer:

Step-by-step explanation:

Answer:

140.5 square yards

Step-by-step explanation:

split the triangle from the shape: 8+7=15yd

area of triangle = 1/2 x base x height

= 1/2 x 5 x 15

=37.5 square yards

split the rectangle from the shape: 7+2=9yd

area of rectangle = length x width

= 11 x 9

= 99 square yards

split the square from the shape

area of square = n squared

= 2^2

= 4 square yards

add them all up: 37.5+99+4

= 140.5 square yards is the final answer

my bad if you can't read the working out in the picture

Answer:

57,700.10

Step-by-step explanation:

To solve, we use the equation [tex]17,600(1.16)^8[/tex]

we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.

please rate and mark as brainlest

Answer:

See explanation

Step-by-step explanation:

look photo

Answer:

s = 4, t = 1.2.

Step-by-step explanation:

y = k/x   (Inverse variation, k is some constant)

Substituting:

2 = k/3

k = 2*3 = 6

So the relation is y = 6/x.

So 1.5 = 6/s

s = 6/1.5 = 4.

t = 6/5 = 1.2.

Answer:

  x > -3

Step-by-step explanation:

The function will be increasing where its derivative is positive.

__

  y = x^2 +6x . . . . . given function

  y' = 2x +6 . . . . . . . derivative

The derivative is positive for ...

  2x +6 > 0

  2x > -6

  x > -3 . . . . . domain where the function is increasing

Answer:

B

Step-by-step explanation:

If you were to add 4 to both sides, you would have X + 8 = 11

But when you subract, you get X = 7-4, X = 3.

Answer:

Yes.

Step-by-step explanation:

7 x 8= 56

9 x 8= 72

56/72 is proportional to 7/9

Answer:

[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional

Step-by-step explanation:

In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.

Answer:

8.5

Step-by-step explanation:

7.5 + 8.5 = 16

Answer:

I am pretty sure it is 100in^3 + s^3

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

point-slope form:

slope intercept form:

Equation:

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} (x-5)[/tex]               [tex]\sf [ \ this \ is \ point \ slope \ form \ equation \ ][/tex]

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} x-3[/tex]                               ----------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x-3+6[/tex]                                        -------------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x+3[/tex]                         [tex]\sf [ \ this \ is \ slope \ intercept \ form \ equation \ ][/tex]

Answer:

[tex]\boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Step-by-step explanation:

Given:

Formula:

Substitute the values into point slope form to determine the equation of the line in point slope form.

[tex]\implies y - y_{1} = m(x - x_{1} )[/tex]

[tex]\implies \boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Answer:

28.274 cm^2

Step-by-step explanation:

A = pi * r^2

A = pi * 3^2

A = pi * 9

28.2743338823

or

28.274

[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1[/tex]

The number of customers who will pay by debit card will be 50.

The fraction is defined as the division of the whole part into an equal number of parts.

Last week there were

32 + 2 + 26 = 60 customers.

That means that the fraction of the customers, who paid by debit card, was

2/60  =   1/30

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 1 / 30 = 1500  /  30  = 50

Therefore the number of customers who will pay by debit card will be 50.

To know more about fractions follow

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Answer:

z = 180°

Step-by-step explanation:

First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.

S = (n-2)180

S = (6 - 2)180

S = (4)180

S = 720°

Next, make an equation adding all the interior angles and setting them equal to 720.

t + t + 2t + t + t + 2t = 720

8t = 720

8t/8 = 720/8

t = 90°

Finally, find the measure of angle z by substituting 90° for t.

z = 2t

z = 2(90)

z = 180°

Answer:

A

Step-by-step explanation:

Answer:

7,854,000

because the 308 people would have to be at least 500 to round up to 7,855,000

Answer:

96

Step-by-step explanation:

L=6

W=2

H=8

LxWxH=8x6x2=96

8x6=48

48x2=96

Answer:

76

Step-by-step explanation:

the answer is 76 because I took the test

Answer:

(1). [tex]5^{4}[/tex] × [tex]13^{7}[/tex] ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( [tex]13^{-2}[/tex] · [tex]13^{9}[/tex] ) = [tex](-5)^{3+1}[/tex] × [tex](13)^{-2+9}[/tex] = [tex](-5)^{4}[/tex] × [tex]13^{7}[/tex] = [tex]5^{4}[/tex] × [tex]13^{7}[/tex]

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x

Answer:

30 books

Step-by-step explanation:

Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

_5×1_5=_10

_5×2_5=_15

_5×3_5=_20

Answer:

Step-by-step explanation:

Option B

Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.

Answer: A is the correct answer

Step-by-step explanation:

Its a because the amount keeps doubling so you will start with =

.1 then go too .2 (which is double .1)

then after .2 you will get .4( which is double .2 i will show you the graph.

.1,  .2,  .4,  .8,  1.6,   3.2,   6.4 etc. Then when you get to day 30 you will have

53.687 million dollars, buy the end of them month, you'd be a millionaire.

[tex]===================================[/tex]

let's find the value of h(2)

we know that

h(r)=5r-5

which means

h of r is 5 times r minus 5

hence

h of 2 is 5 times 2 minus 5

simplify:

h(2)=5(2)-5

h(2)=10-5

h(2)=5

[tex]==================================[/tex]

Answer:

5

Step-by-step explanation:

h(2)=5r-5

=5×2-5

=10-5

=5

Answer:

-76

Step-by-step explanation:

b(3)=2-3^3 = -25.

So a(b(3))=a(-25)=3(-25)-7=-82.

a(3)=3(3)-7=2.

So b(a(3))=2-2^3 = -6.

Therefore, the value of the desired expression is -82-(-6)=-76

The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).

"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}

A relation is said to be a function if every element of set A has one and only one image in set B.

A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."

Given two functions are:

[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]

When the value of 'x' is 3, then the values of the given two functions are:

[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]

[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]

Now the value of the required function is:

[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]

Therefore, the value of the required function is (-88).

Learn more about a function here:

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Answer:

Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.

Step-by-step explanation:

[tex]watch.some.anime[/tex]