Find the area of the triangle.
22 m
14 m

Answer:

muy buena pregunta es: #$#$!×€4\

Answer:

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

Step-by-step explanation:

Given

[tex]\frac{x-1}{x-2}[/tex] + [tex]\frac{x-3}{x-4}[/tex] = 3 [tex]\frac{1}{3}[/tex]

[tex]\frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}[/tex] = [tex]\frac{10}{3}[/tex]

[tex]\frac{x^2-5x+4+x^2-5x+6}{x^2-6x+8}[/tex] = [tex]\frac{10}{3}[/tex]

[tex]\frac{2x^2-10x+10}{x^2-6x+8}[/tex] = [tex]\frac{10}{3}[/tex]  ( cross- multiply )

10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides

10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides

4x² - 30x + 50 = 0 ( divide through by 2 )

2x² - 15x + 25 = 0 ← in standard form

(2x - 5)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex]

x - 5 = 0 ⇒ x = 5

Answer:

Step-by-step explanation:

x-1/x-2+x-3/x-4=31/3

3(x²-4x-x+4)+3(x²-2x-3x+6)=31(x²-4x-2x+8)

3(x²-5x+4)+3(x²-5x+6)=31(x²-6x+8)

3x²-15x+12+3x²-15x+18=31x²-186x+248

3x²+3x²-31x²-15x-15x+186x+12+18-248=0

-25x²+156x-218=0

-(25x²-156+218)=0

By using quadratic equation

If you do a tree diagram you can see more easily but the answer is 0.125 or 1/8 because the chance of you flipping a head the first time is 0.5 or 1/2 this is also the same for the second and third time then you just times them all together so 0.5 x 0.5 x 0.5 which is 0.125

Brainliest???

Answer:

D

Step-by-step explanation:

So we are given the limit:

[tex]\lim_{x \to 0} (x^2+10)[/tex]

To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:

[tex]\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10[/tex]

Therefore, the limit equals 10.

Thousand

Please Mark As Brainliest

Answer:

One thousand

Step-by-step explanation:

Answer:

Hope it helps u .

mark as brainlist

Answer:

[tex]\bold{\dfrac{11}{2 }}[/tex]

Step-by-step explanation:

Given the geometric series:

[tex]\{\dfrac{1}2, -1, 2, -4, ..... \}[/tex]

To find:

Sum of series upto 5 terms using the geometric series formula = ?

Solution:

Formula for sum of a n terms of a geometric series is given as:

[tex]S_n=\dfrac{a(1-r^n)}{1-r} \ \{r<1 \}[/tex]

[tex]a[/tex] is the first term of the geometric series

[tex]r[/tex] is the common ratio between each term (2nd term divided by 1st term or 3rd term divided by 2nd term ..... ).

Here:

[tex]a = \dfrac{1}{2}[/tex]

[tex]r = \dfrac{-1}{\dfrac{1}{2}} = -2[/tex]

[tex]n=5[/tex]

So, applying the formula for given values:

[tex]S_5=\dfrac{\dfrac{1}2(1-(-2)^5)}{1-(-2)} \\\Rightarrow S_5=\dfrac{1-(-32)}{2 \times 3} \\\Rightarrow S_5=\dfrac{1+32}{6} \\\Rightarrow S_5=\dfrac{33}{6} \\\Rightarrow \bold{S_5=\dfrac{11}{2}}[/tex]

So, the answer is

[tex]\bold{\dfrac{11}{2 }}[/tex]

Answer:(6,-7)

Step-by-step explanation:

you just flip in over the x axis so the only thing changing is y lol

Answer: (-9,18) , (1,8)  and (5,4)

Step-by-step explanation:

If  the x coordinate is -9 then plot it into the equation and solve for y.

y = -1(-9) + 0

y = 9 + 9

y = 18

Same for the second one plot in the value of x and solve for y

y= -1(1) + 9

y = -1 + 9

y = 8

Again same for the last one

y = -1(5) + 9

y = -5 + 9

y = 4

Answer:

x = 1

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

5x - (x + 1) = 5 - 2x

Step 2: Distribute

5x - x - 1 = 5 - 2x

Step 3: Combine like terms

4x - 1 = 5 - 2x

Step 5: Add 2x on both sides

6x - 1 = 5

Step 6: Add 1 on both sides

6x = 6

Step 7: Divide both sides by 6

x = 1

Answer:

In domain: -2.

Not in domain: 2, 4.

Step-by-step explanation:

The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.

So, set the expression under the square root greater than or equal to 0 and solve for x:

[tex]-2x\geq 0\\[/tex]

Divide both sides by -2. When dividing by a negative, we flip the sign:

[tex]x\leq 0[/tex]

So, the domain of the function is all real numbers such that x is greater than of less than 0.

-2 is less than 0. So, it is in the domain.

2 is not less than 0. So, it is not in the domain.

4 is not less than 0. So, it is also not in the domain.

Answer:

63 = x

Step-by-step explanation:

We know that a triangle's angles always add up to 180º. Since Line DC is a 180º line, we can subtract 128 from 180.

180 - 128 = 52º

The angle next to A is 52º.

Then, we add 52 and 65 to get the sum of the two angles.

52 + 65 = 117

Finally, subtract 117 from 180 to get our x.

180 - 117 = 63

x = 63

To check, add all the angle values together and if they equal to 180, your answer is correct.

63 + 52 + 65 = 180. Correct!

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

Explanation:

Through the remote interior angle theorem, adding the remote interior angles x and 65 results in the exterior angle 128. Note how the exterior angle is not adjacent to any of the interior angles (which is where the "remote" portion comes from).

x+65 = 128

x+65-65 = 128-65

x = 63

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

A longer method involves finding interior angle BAC using the given exterior angle

angle BAC = 180-(exterior angle DAB)

angle BAC = 180-128

angle BAC = 52

So far, the triangle BAC has two known interior angles 65 and 52. The missing angle x adds onto the previous two getting us 180

x+65+52 = 180

x+117 = 180

x = 180-117

x = 63

We get to the same x value.

Answer:

Answer:

C. Managing his liquidity

Step-by-step explanation:

Complete question below:

Barry gets hurt at work and must go on disabililty for 4 months. On disability, the pay that Barry receives is 60% of his normal net pay. Barry should be fine if he has a plan for _____. a. financing b. managing his income c. managing his liquidity d. protecting his assets

Barry should be fine if he has a plan for managing his liquidity.

Liquidity can be defined as the ease with which an asset or security can be converted into ready cash without affecting its market price.

Barry would be fine if he has plan of converting his assets and securities into cash.

There are two types of liquidity

1. Market liquidity

2. Accounting liquidity

Cash is the most liquid of assets.

Answer:

C managing his liquidity.

Disclaimer: it may not be C for you but it is for sure "Managing his liquidity"

Step-by-step explanation:

Correct on Edg. 2021

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

∠BED is measuring 90 degrees (right angle).

The opposite angle of angle ∠BED will also be 90 degrees because of vertical angles.

∠AEC is measuring 90 degrees (right angle).

The angles on a line add up to 180 degrees.

∠AEC and ∠AEB add up to 180 degrees.

90 + ∠AEB = 180

∠AEB = 90

∠AEB is measuring 90 degrees (right angle).

Angles in a circle around the center add up to 360 degrees.

∠BED + ∠AEC + ∠AEB + ∠CED = 360

90 + 90 + 90 + ∠CED = 360

∠CED = 90

∠CED is measuring 90 degrees (right angle).

Answer:

$750 per year

Step-by-step explanation:

The farmer saves $250 in four months.  You need to find out how much he makes in a year.  There are 12 months in a year.  Multiply the amount he saves by 3.

$250 × 3 = $750

The farmer saves $750 per year.

Answer:

109

Step-by-step explanation:

Three consecutive integers:

Sum of them:

The smallest integer out of three is 109

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

3 consecutive integers = x+(x+1)+(x+2) or 3x+3 (x is the smallest number)

(Consecutive means one after another)

So 3x+3 = 330.

Now subtract 3 from both sides.

(3x-3)=3x

(330-3)=327

The left side is 3x and the right side is 327.

The equation now is 3x=327.

Now divide each side by 3 (so x is isolated)

3x÷3=x

327÷3=109

The left side is x and the right side is 109.

The final equation is x=109.

Since x is the smallest of these integers we don't have to do anything else.

Okay, so let's check the answer now. 109+110+111=330.

So the smallest of the 3 consecutive numbers is 109.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

A.  1.6 m/s²

Step-by-step explanation:

Use the formula given and solve for g.  Use the length for L and the time for T.

T = 2π√(L/g)

T/2π = L/g

(T/2π)² = L/g

g = L/((T/2π)²)

g = 1/((4.9/2π)²)

g = 1/(0.7799)²

g = 1/0.6082

g = 1.64

Answer:

[tex] a=\pm 4[/tex]

Step-by-step explanation:

[tex] M^2= \begin{bmatrix} a^2 +1 & 0 \\ 0 & a^2+1 \end{bmatrix} =17 \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\\[/tex]

Equate the terms to get:

$a^2+1=17$

$\implies a^2=16 \implies a= \pm 4$

If you know the rules for differentiation, then

[tex]f(x)=\dfrac7x\implies f'(x)=-\dfrac7{x^2}\implies f'(1)=-7[/tex]

If you don't, you can use the definition of the derivative to first find [tex]f'(x)[/tex]:

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac7{x+h}-\frac7x}h=\lim_{h\to0}\frac{7x-7(x+h)}{hx(x+h)}=-\lim_{h\to0}\frac7{x(x+h)}=-\dfrac7{x^2}[/tex]

Plug in [tex]x=1[/tex] to get the same result.

Or, you can directly compute the value of the derivative using the limit definition:

[tex]f'(1)=\displaystyle\lim_{x\to1}\frac{\frac7x-7}{x-1}=\lim_{x\to1}\frac{7(1-x)}{x(x-1)}=-\lim_{x\to1}\frac7x=-7[/tex]

Answer:

Step-by-step explanation:

Answer:

2 -

Step-by-step explanation:

if u flip the shape to make a diamond

Answer:

2n-7

Step-by-step explanation:

the product of 2 and a number is 2 times a number, so number is n. (this is multiplicaiton) it then becomes 2n. 7 less than that is 2n-7. (If it's less than, it goes after the variables 2n)

Explanation:

7 less --> -7

product of 2 and a number --> 2x

Answer:

2x-7

I hope this Helps!!

Step-by-step explanation:

From the question

Perimeter = 2L + 2W

L = 24 units

W = 11 units

Substitute the values into the above formula

That's

P = 2(24) + 2(11)

P = 48 + 22

P = 70 units

Therefore the perimeter of the rectangle cannot be 60 units since the values when substituted into the above formula will give us 70 units

Hope this helps you

Answer: D: x = {-3, -1, 1}

Step-by-step explanation:

Domain refers to the x-values of the coordinates.

Coordinates are in the form (x, y) so we are looking for the values on the left side of the parenthesis.

(-3, -2) --> x = -3

(-3, 0)  --> x = -3  already listed above so no need to list it again

(-1, 2)  --> x = -1

(1, 2)  --> x = 1

the x-values are: -3, -1, & 1

so the domain is: x = {-3, -1, 1}

Answer:

Domain = -3, -1, 1.

Step-by-step explanation:

Let's find Domains of x-coordinates of the following.

1) (-3, -2) => (x = -3)

2) (-3, 0) => (x = -3)

3) (-1, 2) => (x = -1)

4) (1, 2) => (x = 1)

Hence, value of x = domain .

These x values lie on the x-coordinates .

Answer:

34n=42?

Step-by-step explanation

-16+5n=-7(-6+8n)+3

1.) multiply

-16+5n=42+-56n+3

2.) add like terms

-16+5n=-45+-56n

3.) find lower number, and add the opposite

29n+5n=42

4.) add n's

34n=42 ?

Answer:

Step-by-step explanation:

-16 + 5n = -7(-6 + 8n) + 3

Expand the terms in the bracket

That's

- 16 + 5n = 42 - 56n + 3

Group like terms

That's

Send the constants to the right side of the equation and those with variables to the left side

We have

5n + 56n = 16 + 42 + 3

Simplify

61n = 61

Divide both sides by 61

We have the final answer as

Hope this helps you

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

The base of the carton is 5*8 = 40 square cm. The height of the milk is 12 cm, so the milk takes up 40*12 = 480 cubic cm of volume. Imagine a rectangular block with dimensions 5, 8 and 12. The volume would be 480.

The carton is placed on its side. Specifically the orange side is flat on the table (assume the table is level). This orange face has area 8*15 = 120 square cm. It multiplies with some height h, which is the height of the milk after moving the carton, to get the volume of the milk inside.

The volume of the milk is 120h and it must be equal to 480 since the amount of milk has not changed as we moved the carton (assume there are no leaks)

So,

120h = 480

120h/120 = 480/120

h = 4

The height of the milk after moving the carton is 4 cm

Answer:

Hey there!

The answer is 2 1/4, which is 2.25

Let me know if you have any other questions!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{1}{4} }}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

[tex] \sf{12 \frac{3}{8} \div 5 \frac{1}{2} }[/tex]

Convert mixed fraction into improper fraction

⇒[tex] \sf{ \frac{12 \times 8 + 3}{8} \div \frac{5 \times 2 + 1}{2} }[/tex]

⇒[tex] \sf{ \frac{99}{8} \div \frac{11}{2} }[/tex]

When any number or fraction is divided by a fraction , we multiply the dividend by reciprocal of the divisor

⇒[tex] \sf{ \frac{99}{8} \times \frac{2}{11} }[/tex]

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

⇒[tex] \sf{ \frac{99 \times 2}{8 \times 11}} [/tex]

⇒[tex] \sf{ \frac{198}{88} }[/tex]

⇒[tex] \sf{ \frac{9}{4} }[/tex]

Convert the improper fraction into mixed fraction

⇒[tex] \sf{2 \frac{1}{4} }[/tex]

Hope I helped !

Best regards! :D

It will be 25

Hope you get it right

Answer:

You will earn $4,950.

Step-by-step explanation:

To find the Simple Interest:

S.I = P × R × T/100

S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100

S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6

S.I = P × R × T/100S.I = 15,000 × 5.5 × 6/100S.I = 150 × 5.5 × 6S.I = $4,950

Answer: 9 bookcases

Step-by-step explanation:

943 / 22 = 42.9 = 43 shelves

The number of books that are on the third shelf of the last bookcase is 43/5 = 8.6 = 9 bookcases

There are nine bookcases on the third self.