Someone please help me I’m literally struggling

9.75 ft is the answer

[tex]By \: Pythagoras \: Theorem, \\ \boxed{ {hyotenuse}^{2} = {base}^{2} + {height}^{2} } \\ \\ here \\ hypotenuse = 12ft \\ base = 7 ft\\ height = x\ \\ \\ \ {12}^{2} = {7}^{2} + {x}^{2} \\ \implies144 = 49 + {x}^{2} \\ \implies {x}^{2} = 144 - 49 \\ =95 \\ x = \sqrt{95 } \\ = 9.75 ft\\ \\ \\ [/tex]

Answer:

8 and 10

Step-by-step explanation:

Given

[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{x+2}[/tex] = [tex]\frac{9}{40}[/tex] ← combine the fractions on the left side

[tex]\frac{x+2+x}{x(x+2)}[/tex] = [tex]\frac{9}{40}[/tex]

[tex]\frac{2x+2}{x^2+2x}[/tex] = [tex]\frac{9}{40}[/tex] ( cross- multiply )

9(x² + 2x) = 40(2x + 2) ← distribute both sides

9x² + 18x = 80x + 80 ( subtract 80x + 80 from both sides )

9x² - 62x - 80 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 9 × - 80 = - 720 and sum = - 62

The factors are - 72 and + 10

Use these factors to split the x- term

9x² - 72x + 10x - 80 = 0 ( factor the first/second and third/fourth terms )

9x(x - 8) + 10(x - 8) = 0 ← factor out (x - 8) from each term

(x - 8)(9x + 10) = 0

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

9x + 10 = 0 ⇒ 9x = - 10 ⇒ x = - [tex]\frac{10}{9}[/tex]

x is an integer , then x = 8 and x + 2 = 8 + 2 = 10

The integers are 8 and 10

Answers: Integers are x=8, x=10.

Answer:

oh I thought you were talk about love well dang :(

Step-by-step explanation:

Answer:

360th customer

Step-by-step explanation:

To find the customer that will receive both the free popcorn and the free movie rental, we have to list the multiples of 40 and 45 until we get a multiple that is the same for both of them.

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360

360 is the first multiple that is same for multiples of 40 and 45

So the 360th customer will receive both items.

(Sorry if my explanation is hard to understand. I haven't done this kind of math in a while)

Hope it helps (●'◡'●)

Answer:

Step-by-step explanation:

y=mx+b is the general equation of a line, where

m= slope = (y2-y1)/(x2-x1)= (6-2)/(0- -3)= 4/3

b= y intercept

for point (0,6)

y=(4/3)x+b will become 6=(4/3)*0 +b, so b=6

the equation of the line that passes trough the given points is

y= (4/3) x +6

Answer:

y = 4/3 x + 6

Step-by-step explanation:

M = -4/-3 = 2/3

y = 4/3 X + B

6 = 4/3(0) + B

B=6

Answer:

B: Compare the slopes. If they are different, there will be one solution.

Step-by-step explanation:

I gottchu guys :)

Answer:

Step-by-step explanation:

Answer:

[tex]T' = (-7,10)[/tex]

Step-by-step explanation:

Given

[tex]T = (10,7)[/tex]

[tex]r = 270^o[/tex] counterclockwise

Required

Graph of T'

The rule to this is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex]T(10,7) \to T' (-7,10)[/tex]

Hence:

[tex]T' = (-7,10)[/tex]

See attachment for graph

The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

f (x) = x + 3

Now, We can find the inverse of the function f(x) = x +3 as,

f (x) = x + 3

y = x + 3

x = y - 3

h (x) = x - 3

Thus, The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

25

Step-by-step explanation:

you would do the total which is 45-20

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

Explanation:

Consider something like 2b+6 factoring to 2(b+3). When we distribute that outer 2 back inside the parenthesis, we're multiplying that 2 by everything inside. Factoring goes in reverse of this and we divide each term of 2b+6 by the GCF 2.

The same thing applies to this current problem as well.

Divide each term by the -1.8 we want to factor out.

The results -2b and 5 will go inside the parenthesis. That's how we end up with -1.8(-2b+5)

You can use distribution to verify this

-1.8(-2b+5)

-1.8*(-2b) - 1.8*(5)

3.6b - 9

Answer:

so the correct asnwer is c

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,

(x, y) → (x + 4. y + 1)

Therefore, vertices of the image triangle ABC will be,

A(2, 2) → A'(2+4, 2+1)

           → A'(6, 3)

B(5, -1) → B'(5+4, -1+1)

           → B'(9, 0)

C(1, -2) → C'(1+4, -2+1)

           → C'(5, -1)

Then reflected across y-axis.

Rule for the reflection across y-axis will be,

(x, y) → (-x, y)

A'(6, 3) → A"(-6, 3)

B'(9, 0) → B"(-9, 0)

C'(5, -1) → C"(-5, -1)

Answer:

A"(-6, 3)

B"(-9, 0)

C"(-5, -1)

Step-by-step explanation:

Answer:

33 units

Step-by-step explanation:

AB = BC

2x + 7 = 23

2x = 16

x = 8

DC = DA

DC = 4x + 1

DC = 4(8) + 1

DC = 33

Answer:

In picture

Step-by-step explanation:

Brianliest please~

Answer:

y = 1/2 x + 6

Step-by-step explanation:

m = (7 - 6 )/ 2-0

m = 1/2

y-8=1/2(x-4)

y=1/2x-4/2 +8

y=1/2+6

Answer:

Step-by-step explanation:

From the given trapezium, the following can be observed:

           i. trapezium ABCD

           ii. AB || DC

           iii. EF || AB

           iv. EF || DC

Let AD ≅ BC, then:

AD = AE + ED

BC = BF + FC

So that with the condition that;

AE ≅ BF

and

ED ≅ CF

So then;

AE:ED ≅ BF:FC

Which implies that;

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{BF}{FC}[/tex]

Answer:

0.2 = n

Step-by-step explanation:

Since we want to express 3:15 as n:1, we can say that they are equal ratios, so

3:15 = n:1. Next, ratios can be written as fractions, so 3/15 = n/1 .

3/15 = n/1

Since anything divided by 1 equals itself, we can write this as

3/15 = n

0.2 = n

Answer:

I think it's c

Step-by-step explanation:

Well I believe that would mean that one coordinate would shift by five, c looks the most likely in this case.

I was actually surprised to see that statement A is correct

graphed around with desmos until I reconstructed f(x), then graphed f(x+4)

see screenshot

Hello!

7x + 6x = 52 <=>

<=> 13x = 52 <=>

<=> x = 52 : 13 <=>

<=> x = 4 => 7 × 4 + 6 × 4 = 52

Good luck! :)

Answer:

27

Step-by-step explanation:

Girls = boys - 3

girls / boys = 4/5

Substitute (boys - 3) in for girls

boys - 3 / boys = 4/5            Cross multiply

5(boys - 3) = 4* boys            Remove the brackets

5boys - 15 = 4boys               Subtract 5 boys from both sides.

-5boys          -5boys

- 15   = - boys                       Multiply both sides by - 1

15 = boys

Girls = boys - 3

girls = 15 - 3

girls = 12

Total 15 + 12

total = 27

Answer:

0.054, 0.405, 0.45, 0.54

Answer:

0.054, 0.405, 0.45, 0.54

Step-by-step explanation:

1. The 0 after the decimal point makes it the smallest

2. 405/1000 < 45/100

3. 45/100 < 54/100

Answer:

160=130+x

x=160-130

x=30

Answer:

y=0

Step-by-step explanation:

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

Factor out 3^y:

  3^(2y-1) +2(3^(y-1)) = 1 . . . . . . given

  (3^y)^2(3^-1) +2(3^y)(3^-1) = 1 . . . . factor out 3^y

  (3^y)^2 +2(3^y) -3 = 0 . . . . . . . . . . subtract 1, multiply by 3

Let x = 3^y. Substituting, we have ...

  x^2 +2x -3 = 0

  (x -1)(x +3) = 0

  x = 1  or  x = -3 . . . . . values of x that satisfy this equation

Then the corresponding values of y are ...

  x = 3^y . . . . . . . . . . . . relation of x and y

  log(x) = y·log(3) . . . . . take logs to solve for y

  y = log(x)/log(3) . . . . . divide by the coefficient of y

For x = 1, this is y = log(1)/log(3) = 0

For x = -3, this is y = log(-3)/log(3) . . . . no real solutions

The only real solution is y = 0.

_____

The attachment shows the solution of f(x) = 0, where ...

  [tex]f(x)=3^{2x-1}+2\times3^{x-1}-1[/tex]

That solution is x=0. This means the (real) solution to the given equation is y=0.

Answer:

a

Step-by-step explanation:

thats not how u find the lengths

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43

then add five on each side

you get y=43x-210, 43 and 210 cannot be sipilified so that is the answer.

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43 through the parenthesis.

y-5=43x-215

Move the constant to the right and change its sign.

y=43x-215+5

Calculate sum.

y=43x-210

Hope i helped :)

Answer:

x=44°..

Step-by-step explanation:

Answer:

the value of x is 44 i hope it will help you

Answer:

The one of (L,b)= (5m, 10m) is the only correct answer.

Step-by-step explanation:

P= 2(L+b)

A= L×b

make b subject of formula in area we have;

b= A/L

in perimeter; p= 2(L +(A/L))

p= (L²+A)/L

pL= L²+A

L²-pL+A= 0

L²-30L+50=0

L²-25L-5L+50=0

L(L-25)-5(L-25)=0

(L-5)(L-25)= 0

L= 5 or 25m

substitute in A

50= 5b or 50= 25b

b= 10 or 2m

Answer:

the first row in the table has x = -2 and f(x) = 1

therefore,

f(-2) = 1

f(x) = -2

when x = 4 as in 3rd row.

Answer:

sinA = ± [tex]\sqrt{1-cos^2A}[/tex]

Step-by-step explanation:

Using the Pythagorean identity

sin²A + cos²A = 1 ( subtract cos²A from both sides )

sin²A = 1 - cos²A ( take the square root of both sides )

sinA = ± [tex]\sqrt{1-cos^2A}[/tex]